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An Intelligent MCGDM Model in Green Suppliers Selection Using Interactional Aggregation Operators for Interval-Valued Pythagorean Fuzzy Soft Sets
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作者 Rana Muhammad Zulqarnain Wen-Xiu Ma +2 位作者 Imran Siddique Hijaz Ahmad Sameh Askar 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第5期1829-1862,共34页
Green supplier selection is an important debate in green supply chain management(GSCM),attracting global attention from scholars,especially companies and policymakers.Companies frequently search for new ideas and stra... Green supplier selection is an important debate in green supply chain management(GSCM),attracting global attention from scholars,especially companies and policymakers.Companies frequently search for new ideas and strategies to assist them in realizing sustainable development.Because of the speculative character of human opinions,supplier selection frequently includes unreliable data,and the interval-valued Pythagorean fuzzy soft set(IVPFSS)provides an exceptional capacity to cope with excessive fuzziness,inconsistency,and inexactness through the decision-making procedure.The main goal of this study is to come up with new operational laws for interval-valued Pythagorean fuzzy soft numbers(IVPFSNs)and create two interaction operators-the intervalvalued Pythagorean fuzzy soft interaction weighted average(IVPFSIWA)and the interval-valued Pythagorean fuzzy soft interaction weighted geometric(IVPFSIWG)operators,and analyze their properties.These operators are highly advantageous in addressing uncertain problems by considering membership and non-membership values within intervals,providing a superior solution to other methods.Moreover,specialist judgments were calculated by the MCGDM technique,supporting the use of interaction AOs to regulate the interdependence and fundamental partiality of green supplier assessment aspects.Lastly,a statistical clarification of the planned method for green supplier selection is presented. 展开更多
关键词 interval-valued pythagorean fuzzy soft set IVPFSIWA operator IVPFSIWG operator MCGDM SCM
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Aggregation Operators for Interval-Valued Pythagorean Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem
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作者 Rana Muhammad Zulqarnain Imran Siddique +2 位作者 Rifaqat Ali Fahd Jarad Aiyared Iampan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第4期619-651,共33页
Experts use Pythagorean fuzzy hypersoft sets(PFHSS)in their investigations to resolve the indeterminate and imprecise information in the decision-making process.Aggregation operators(AOs)perform a leading role in perc... Experts use Pythagorean fuzzy hypersoft sets(PFHSS)in their investigations to resolve the indeterminate and imprecise information in the decision-making process.Aggregation operators(AOs)perform a leading role in perceptivity among two circulations of prospect and pull out concerns from that perception.In this paper,we extend the concept of PFHSS to interval-valued PFHSS(IVPFHSS),which is the generalized form of intervalvalued intuitionistic fuzzy soft set.The IVPFHSS competently deals with uncertain and ambagious information compared to the existing interval-valued Pythagorean fuzzy soft set.It is the most potent method for amplifying fuzzy data in the decision-making(DM)practice.Some operational laws for IVPFHSS have been proposed.Based on offered operational laws,two inventive AOs have been established:interval-valued Pythagorean fuzzy hypersoft weighted average(IVPFHSWA)and interval-valued Pythagorean fuzzy hypersoft weighted geometric(IVPFHSWG)operators with their essential properties.Multi-criteria group decision-making(MCGDM)shows an active part in contracts with the difficulties in industrial enterprise for material selection.But,the prevalent MCGDM approaches consistently carry irreconcilable consequences.Based on the anticipated AOs,a robust MCGDMtechnique is deliberate formaterial selection in industrial enterprises to accommodate this shortcoming.A real-world application of the projectedMCGDMmethod for material selection(MS)of cryogenic storing vessels is presented.The impacts show that the intended model is more effective and reliable in handling imprecise data based on IVPFHSS. 展开更多
关键词 interval-valued pythagorean fuzzy hypersoft set IVPFHSWA operator IVPFHSWG operator MCGDM
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Fuzzy Multi-Criteria Decision Support System for the Best Anti-Aging Treatment Selection Process through Normal Wiggly Hesitant Fuzzy Sets
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作者 Daekook Kang Ramya Lakshmanaraj +5 位作者 Samayan Narayanamoorthy Navaneethakrishnan Suganthi Keerthana Devi Samayan Kalaiselvan Ranganathan Saraswathy Dragan Pamucar Vladimir Simic 《Computers, Materials & Continua》 SCIE EI 2024年第9期4947-4972,共26页
This socialized environment among educated and developed people causes themto focusmore on their appearance and health,which turns them towards medical-related treatments,leading us to discuss anti-aging treatment met... This socialized environment among educated and developed people causes themto focusmore on their appearance and health,which turns them towards medical-related treatments,leading us to discuss anti-aging treatment methods for each age group,particularly for urban people who are interested in this.Some anti-aging therapies are used to address the alterations brought on by aging in human life without the need for surgery or negative effects.Five anti-aging therapies such as microdermabrasion or dermabrasion,laser resurfacing anti-aging skin treatments,chemical peels,dermal fillers for aged skin,and botox injections are considered in this study.Based on the criteria of safety risk,investment cost,customer happiness,and side effects,the optimal alternative is picked.As a result,a NormalWiggly Hesitant Pythagorean Fuzzy Set(NWHPFS)is constructed and used in Multi-Criteria Decision-Making(MCDM)using traditional wavy mathematical approaches.The entropy approach is utilized to determine weight values,and the Normal Wiggly Hesitant Pythagorean-VlseKriterijumska Optimizacija I Kompromisno Resenje(NWHPF-VIKOR)method is utilized to rank alternatives using MCDM methodologies.Sensitivity analysis and comparative analysis were performed to ensure the robustness and reliability of the proposed method.The smart final choice will undoubtedly assist Decision Makers(DM)in making the right judgments,and the MCDM approach will undoubtedly assist individuals in understanding the medicine. 展开更多
关键词 Normal wiggly hesitant pythagorean fuzzy set hesitant pythagorean fuzzy set anti-aging treatment entropy VIse Kriterijumska Optimizacija I Kompromisno Resenje
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On similarity measures of interval-valued intuitionistic fuzzy sets and their application to pattern recognitions 被引量:29
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作者 徐泽水 《Journal of Southeast University(English Edition)》 EI CAS 2007年第1期139-143,共5页
The concept of the degree of similarity between interval-valued intuitionistic fuzzy sets (IVIFSs) is introduced, and some distance measures between IVIFSs are defined based on the Hamming distance, the normalized H... The concept of the degree of similarity between interval-valued intuitionistic fuzzy sets (IVIFSs) is introduced, and some distance measures between IVIFSs are defined based on the Hamming distance, the normalized Hamming distance, the weighted Hamming distance, the Euclidean distance, the normalized Euclidean distance, and the weighted Euclidean distance, etc. Then, by combining the Hausdorff metric with the Hamming distance, the Euclidean distance and their weighted versions, two other similarity measures between IVIFSs, i. e., the weighted Hamming distance based on the Hausdorff metric and the weighted Euclidean distance based on the Hausdorff metric, are defined, and then some of their properties are studied. Finally, based on these distance measures, some similarity measures between IVIFSs are defined, and the similarity measures are applied to pattern recognitions with interval-valued intuitionistic fuzzy information. 展开更多
关键词 interval-valued intuitionistic fuzzy set SIMILARITY pattern recognition
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Aggregation Operators for Interval-Valued Pythagorean Fuzzy Soft Set with Their Application to Solve Multi-Attribute Group Decision Making Problem 被引量:3
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作者 Rana Muhammad Zulqarnain Imran Siddique +1 位作者 Aiyared Iampan Dumitru Baleanu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第6期1717-1750,共34页
Interval-valued Pythagorean fuzzy soft set(IVPFSS)is a generalization of the interval-valued intuitionistic fuzzy soft set(IVIFSS)and interval-valued Pythagorean fuzzy set(IVPFS).The IVPFSS handled more uncertainty co... Interval-valued Pythagorean fuzzy soft set(IVPFSS)is a generalization of the interval-valued intuitionistic fuzzy soft set(IVIFSS)and interval-valued Pythagorean fuzzy set(IVPFS).The IVPFSS handled more uncertainty comparative to IVIFSS;it is the most significant technique for explaining fuzzy information in the decision-making process.In this work,some novel operational laws for IVPFSS have been proposed.Based on presented operational laws,two innovative aggregation operators(AOs)have been developed such as interval-valued Pythagorean fuzzy soft weighted average(IVPFSWA)and interval-valued Pythagorean fuzzy soft weighted geometric(IVPFSWG)operators with their fundamental properties.A multi-attribute group decision-making(MAGDM)approach has been established utilizing our developed operators.A numerical example has been presented to ensure the validity of the proposed MAGDM technique.Finally,comparative studies have been given between the proposed approach and some existing studies.The obtained results through comparative studies show that the proposed technique is more credible and reliable than existing approaches. 展开更多
关键词 interval-valued pythagorean fuzzy soft set IVPFSWA operator IVPFSWG operator MAGDM
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Fully implicational methods for approximate reasoning based on interval-valued fuzzy sets 被引量:4
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作者 Huawen Liu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期224-232,共9页
The aim of this paper is to discuss the approximate rea- soning problems with interval-valued fuzzy environments based on the fully implicational idea. First, this paper constructs a class of interval-valued fuzzy imp... The aim of this paper is to discuss the approximate rea- soning problems with interval-valued fuzzy environments based on the fully implicational idea. First, this paper constructs a class of interval-valued fuzzy implications by means of a type of impli- cations and a parameter on the unit interval, then uses them to establish fully implicational reasoning methods for interval-valued fuzzy modus ponens (IFMP) and interval-valued fuzzy modus tel- lens (IFMT) problems. At the same time the reversibility properties of these methods are analyzed and the reversible conditions are given. It is shown that the existing unified forms of α-triple I (the abbreviation of triple implications) methods for FMP and FMT can be seen as the particular cases of our methods for IFMP and IFMT. 展开更多
关键词 approximate reasoning interval-valued fuzzy set interval-valued fuzzy implication fully implicational method re- versibility.
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Interval-Valued Intuitionistic Fuzzy-Rough Sets
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作者 WU Yan-hua LI Ke-dian 《浙江海洋学院学报(自然科学版)》 CAS 2010年第5期496-506,共11页
This paper combines interval-valued intuitionistic fuzzy sets and rough sets.It studies rougheness in interval-valued intuitionistic fuzzy sets and proposes one kind of interval-valued intuitionistic fuzzy-rough sets ... This paper combines interval-valued intuitionistic fuzzy sets and rough sets.It studies rougheness in interval-valued intuitionistic fuzzy sets and proposes one kind of interval-valued intuitionistic fuzzy-rough sets models under the equivalence relation in crisp sets.That extends the classical rough set defined by Pawlak. 展开更多
关键词 interval-valued intuitionistic fuzzy sets interval-valued intuitionistic fuzzy rough sets Hamming distance Approximation roughness
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A KIND OF FUZZY LINEAR PROGRAMMING PROBLEMS BASED ON INTERVAL-VALUED FUZZY SETS 被引量:1
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作者 Xu JiupingDept. of Appl.Math.,Sichuan Union University,Chengdu 610065. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第1期65-72,共8页
The objective of this paper is to deal with a kind of fuzzy linear programming problem based on interval\|valued fuzzy sets (IVFLP) through the medium of procedure that turns IVFLP into parametric linear programming v... The objective of this paper is to deal with a kind of fuzzy linear programming problem based on interval\|valued fuzzy sets (IVFLP) through the medium of procedure that turns IVFLP into parametric linear programming via the mathematical programming.Some useful results for the benefit of solving IVFLP are expounded and proved,developed and discussed.Furthermore,that the proposed techniques in this paper allow the decision\|maker to assign a different degree of importance can provide a useful way to efficiently help the decision\|maker make their decisions. 展开更多
关键词 fuzzy linear program m ing interval-valued fuzzy sets param etric linear program m ing fuzzy decision-m aking uncertainty.
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A New Kind of Generalized Pythagorean Fuzzy Soft Set and Its Application in Decision-Making
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作者 Xiaoyan Wang Ahmed Mostafa Khalil 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第9期2861-2871,共11页
The aim of this paper is to introduce the concept of a generalized Pythagorean fuzzy soft set(GPFSS),which is a combination of the generalized fuzzy soft sets and Pythagorean fuzzy sets.Several of important operations... The aim of this paper is to introduce the concept of a generalized Pythagorean fuzzy soft set(GPFSS),which is a combination of the generalized fuzzy soft sets and Pythagorean fuzzy sets.Several of important operations of GPFSS including complement,restricted union,and extended intersection are discussed.The basic properties of GPFSS are presented.Further,an algorithm of GPFSSs is given to solve the fuzzy soft decision-making.Finally,a comparative analysis between the GPFSS approach and some existing approaches is provided to show their reliability over them. 展开更多
关键词 pythagorean fuzzy set generalized pythagorean fuzzy soft set ALGORITHM decision making
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Novel Scheme for Robust Confusion Component Selection Based on Pythagorean Fuzzy Set
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作者 Nabilah Abughazalah Mohsin Iqbal +1 位作者 Majid Khan Iqtadar Hussain 《Computers, Materials & Continua》 SCIE EI 2023年第3期6523-6534,共12页
The substitution box,often known as an S-box,is a nonlinear component that is a part of several block ciphers.Its purpose is to protect cryptographic algorithms from a variety of cryptanalytic assaults.A Multi-Criteri... The substitution box,often known as an S-box,is a nonlinear component that is a part of several block ciphers.Its purpose is to protect cryptographic algorithms from a variety of cryptanalytic assaults.A Multi-Criteria Decision Making(MCDM)problem has a complex selection procedure because of having many options and criteria to choose from.Because of this,statistical methods are necessary to assess the performance score of each S-box and decide which option is the best one available based on this score.Using the Pythagorean Fuzzy-based Technique for Order of Preference by Similarity to Ideal Solution(TOPSIS)method,the major objective of this investigation is to select the optimal S-box to be implemented from a pool of twelve key choices.With the help of the Pythagorean fuzzy set(PFS),the purpose of this article is to evaluate whether this nonlinear component is suitable for use in a variety of encryption applications.In this article,we have considered various characteristics of S-boxes,including nonlinearity,algebraic degree,strict avalanche criterion(SAC),absolute indicator,bit independent criterion(BIC),sum of square indicator,algebraic immunity,transparency order,robustness to differential cryptanalysis,composite algebraic immunity,signal to noise ratio-differential power attack(SNR-DPA),and confusion coefficient variance on some standard S-boxes that are Advanced Encryption Following this,the findings of the investigation are changed into Pythagorean fuzzy numbers in the shape of a matrix.This matrix is then subjected to an analysis using the TOPSIS method,which is dependent on the Pythagorean fuzzy set,to rank the most suitable S-box for use in encryption applications. 展开更多
关键词 Decision making substitution box TOPSIS multi-criterion decision making fuzzy set pythagorean fuzzy set
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基于Pythagorean模糊环境下MABAC方法的网络货运平台车货匹配研究
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作者 刘玲 吴瑞东 +1 位作者 马楠 夏露 《供应链管理》 2024年第5期83-96,共14页
针对网络货运平台车货匹配过程中存在的平台间的价格战、卡车司机间的抢单、平台推荐匹配方案不合理问题,在Pythagorean模糊环境下采用MABAC(多属性边界近似区域比较)决策方法,在考虑货主特殊要求的同时对平台接收到的货物订单进行匹配... 针对网络货运平台车货匹配过程中存在的平台间的价格战、卡车司机间的抢单、平台推荐匹配方案不合理问题,在Pythagorean模糊环境下采用MABAC(多属性边界近似区域比较)决策方法,在考虑货主特殊要求的同时对平台接收到的货物订单进行匹配。在考虑车主、货主、平台三方利益的前提下建立车货匹配评价指标体系;采用Pythagorean模糊数表示专家评价语言,采用反正切Pythagorean模糊熵计算指标权重和专家权重;依据MABAC方法对备选方案进行择优排序。 展开更多
关键词 车货匹配 pythagorean模糊 反正切pythagorean模糊熵 MABAC
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Pythagorean probabilistic hesitant triangular fuzzy aggregation operators with applications in multiple attribute decision making 被引量:1
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作者 LIAO Fuping LI Wu +1 位作者 LIU Gang ZHOU Xiaoqiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第2期422-438,共17页
As a generalization of fuzzy set,hesitant probabilistic fuzzy set and pythagorean triangular fuzzy set have their own unique advantages in describing decision information.As modern socioeconomic decision-making proble... As a generalization of fuzzy set,hesitant probabilistic fuzzy set and pythagorean triangular fuzzy set have their own unique advantages in describing decision information.As modern socioeconomic decision-making problems are becoming more and more complex,it also becomes more and more difficult to appropriately depict decision makers’cognitive information in decision-making process.In order to describe the decision information more comprehensively,we define a pythagorean probabilistic hesitant triangular fuzzy set(PPHTFS)by combining the pythagorean triangular fuzzy set and the probabilistic hesitant fuzzy set.Firstly,the basic operation and scoring function of the pythagorean probabilistic hesitant triangular fuzzy element(PPHTFE)are proposed,and the comparison rule of two PPHTFEs is given.Then,some pythagorean probabilistic hesitant triangular fuzzy aggregation operators are developed,and their properties are also studied.Finally,a multi-attribute decision-making(MADM)model is constructed based on the proposed operators under the pythagorean probabilistic hesitant triangular fuzzy information,and an illustration example is given to demonstrate the practicability and validity of the proposed decision-making method. 展开更多
关键词 pythagorean probabilistic hesitant triangular fuzzy set(PPHTFS) aggregation operator multi-attribute decisionmaking(MADM)
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Einstein Weighted Geometric Operator for Pythagorean Fuzzy Hypersoft with Its Application in Material Selection
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作者 Rana Muhammad Zulqarnain Imran Siddique +2 位作者 Rifaqat Ali Fahd Jarad Aiyared Iampan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第6期2557-2583,共27页
Hypersoft set theory is a most advanced form of soft set theory and an innovative mathematical tool for dealing with unclear complications.Pythagorean fuzzy hypersoft set(PFHSS)is the most influential and capable leew... Hypersoft set theory is a most advanced form of soft set theory and an innovative mathematical tool for dealing with unclear complications.Pythagorean fuzzy hypersoft set(PFHSS)is the most influential and capable leeway of the hypersoft set(HSS)and Pythagorean fuzzy soft set(PFSS).It is also a general form of the intuitionistic fuzzy hypersoft set(IFHSS),which provides a better and more perfect assessment of the decision-making(DM)process.The fundamental objective of this work is to enrich the precision of decision-making.A novel mixed aggregation operator called Pythagorean fuzzy hypersoft Einstein weighted geometric(PFHSEWG)based on Einstein’s operational laws has been developed.Some necessary properties,such as idempotency,boundedness,and homogeneity,have been presented for the anticipated PFHSEWG operator.Multi-criteria decision-making(MCDM)plays an active role in dealing with the complications of manufacturing design for material selection.However,conventional methods of MCDM usually produce inconsistent results.Based on the proposed PFHSEWG operator,a robust MCDM procedure for material selection in manufacturing design is planned to address these inconveniences.The expected MCDM method for material selection(MS)of cryogenic storing vessels has been established in the real world.Significantly,the planned model for handling inaccurate data based on PFHSS is more operative and consistent. 展开更多
关键词 pythagorean fuzzy soft set pythagorean fuzzy hypersoft set pythagorean fuzzy hypersoft Einstein weighted geometric operator(PFHSEWG) MCDM
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Interval-valued intuitionistic fuzzy aggregation operators 被引量:4
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作者 Weize Wang Xinwang Liu Yong Qin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第4期574-580,共7页
The notion of the interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of the Atanassov's intuitionistic fuzzy set. The fundamental characteristic of IVIFS is that the values of its membersh... The notion of the interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of the Atanassov's intuitionistic fuzzy set. The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. There are various averaging operators defined for IVlFSs. These operators are not monotone with respect to the total order of IVIFS, which is undesirable. This paper shows how such averaging operators can be represented by using additive generators of the product triangular norm, which simplifies and extends the existing constructions. Moreover, two new aggregation operators based on the t.ukasiewicz triangular norm are proposed, which are monotone with respect to the total order of IVIFS. Finally, an application of the interval-valued intuitionistic fuzzy weighted averaging operator is given to multiple criteria decision making. 展开更多
关键词 interval-valued intuitionistic fuzzy set (IVIFS) interval-valued intuitionistic fuzzy weighted averaging (IVlFWA) operator interval-valued intuitionistic fuzzy ordered weighted averaging (IVI-FOWA) operator multiple criteria decision making (MCDM) mono-tonicity.
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Novel Decision Making Methodology under Pythagorean Probabilistic Hesitant Fuzzy Einstein Aggregation Information
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作者 Shahzaib Ashraf Bushra Batool Muhammad Naeem 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第8期1785-1811,共27页
This research proposes multicriteria decision-making(MCDM)-based real-time Mesenchymal stem cells(MSC)transfusion framework.The testing phase of the methodology denotes the ability to stick to plastic surfaces,the upr... This research proposes multicriteria decision-making(MCDM)-based real-time Mesenchymal stem cells(MSC)transfusion framework.The testing phase of the methodology denotes the ability to stick to plastic surfaces,the upregulation and downregulation of certain surface protein markers,and lastly,the ability to differentiate into various cell types.First,two scenarios of an enhanced dataset based on a medical perspective were created in the development phase to produce varying levels of emergency.Second,for real-timemonitoring ofCOVID-19 patients with different emergency levels(i.e.,mild,moderate,severe,and critical),an automated triage algorithmbased on a formal medical guideline is proposed,taking into account the improvement and deterioration procedures fromone level to the next.For this strategy,Einstein aggregation information under the Pythagorean probabilistic hesitant fuzzy environment(PyPHFE)is developed.Einstein operations on PyPHFE such as Einstein sum,product,scalar multiplication,and their properties are investigated.Then,several Pythagorean probabilistic hesitant fuzzy Einstein aggregation operators,namely the Pythagorean probabilistic hesitant fuzzy weighted average(PyPHFWA)operator,Pythagorean probabilistic hesitant fuzzy Einstein weighted geometric(PyPHFEWG)operator,Pythagorean probabilistic hesitant fuzzy Einstein ordered weighted average(PyPHFEOWA)operator,Pythagorean probabilistic hesitant fuzzy Einstein ordered weighted geometric(PyPHFEOWG)operator,Pythagorean probabilistic hesitant fuzzy Einstein hybrid average(PyPHFEHA)operator and Pythagorean probabilistic hesitant fuzzy Einstein hybrid geometric(PyPHFEHG)operator are investigated.All the above-mentioned operators are helpful in design the algorithm to tackle uncertainty in decision making problems.In last,a numerical case study of decision making is presented to demonstrate the applicability and validity of the proposed technique.Besides,the comparison of the existing and the proposed technique is established to show the effectiveness and validity of the established technique. 展开更多
关键词 pythagorean probabilistic hesitant fuzzy set aggregation operators decision making
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On some new fuzzy entropy measure of Pythagorean fuzzy sets for decision-making based on an extended TOPSIS approach
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作者 H.D.Arora Anjali Naithani 《Journal of Management Analytics》 EI 2024年第1期87-109,共23页
Fuzzy entropy measures are valuable tools in decision-making when dealing with uncertain or imprecise information.There exist many entropy measures for Pythagorean Fuzzy Sets(PFS)in the literature that fail to deal wi... Fuzzy entropy measures are valuable tools in decision-making when dealing with uncertain or imprecise information.There exist many entropy measures for Pythagorean Fuzzy Sets(PFS)in the literature that fail to deal with the problem of providing reasonable or consistent results to the decision-makers.To deal with the shortcomings of the existing measures,this paper proposes a robust fuzzy entropy measure for PFS to facilitate decision-making under uncertainty.The usefulness of the measure is illustrated through an illustration of decision-making in a supplier selection problem and compared with existing fuzzy entropy measures.The Technique for Order Performance by Similarity to Ideal Solution(TOPSIS)approach is also explored to solve the decision-making problem.The results demonstrate that the proposed measure can effectively capture the degree of uncertainty in the decision-making process,leading to more accurate decision outcomes by providing a reliable and robust ranking of alternatives. 展开更多
关键词 pythagorean fuzzy sets entropy measures multi criteria decision analysis TOPSIS method supplier selection
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Fuzzy Risk Assessment Method for Airborne Network Security Based on AHP-TOPSIS
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作者 Kenian Wang YuanHong Chunxiao Li 《Computers, Materials & Continua》 SCIE EI 2024年第7期1123-1142,共20页
With the exponential increase in information security risks,ensuring the safety of aircraft heavily relies on the accurate performance of risk assessment.However,experts possess a limited understanding of fundamental ... With the exponential increase in information security risks,ensuring the safety of aircraft heavily relies on the accurate performance of risk assessment.However,experts possess a limited understanding of fundamental security elements,such as assets,threats,and vulnerabilities,due to the confidentiality of airborne networks,resulting in cognitive uncertainty.Therefore,the Pythagorean fuzzy Analytic Hierarchy Process(AHP)Technique for Order Preference by Similarity to an Ideal Solution(TOPSIS)is proposed to address the expert cognitive uncertainty during information security risk assessment for airborne networks.First,Pythagorean fuzzy AHP is employed to construct an index system and quantify the pairwise comparison matrix for determining the index weights,which is used to solve the expert cognitive uncertainty in the process of evaluating the index system weight of airborne networks.Second,Pythagorean fuzzy the TOPSIS to an Ideal Solution is utilized to assess the risk prioritization of airborne networks using the Pythagorean fuzzy weighted distance measure,which is used to address the cognitive uncertainty in the evaluation process of various indicators in airborne network threat scenarios.Finally,a comparative analysis was conducted.The proposed method demonstrated the highest Kendall coordination coefficient of 0.952.This finding indicates superior consistency and confirms the efficacy of the method in addressing expert cognition during information security risk assessment for airborne networks. 展开更多
关键词 Airborne networks information security risk assessment cognitive uncertainty pythagorean fuzzy sets
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Pythagorean犹豫模糊环境下城市更新社会排斥风险评估研究
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作者 刘光凤 李本丽 《甘肃科学学报》 2024年第4期126-135,145,共11页
针对城市更新中社会排斥风险问题,通过文献研究和案例推理从原住区居民视角构建城市更新社会排斥风险评估指标体系,运用Pythagorean犹豫模糊集量化城市更新社会排斥风险值,运用Pythagorean犹豫模糊熵和交叉熵计算专家权重和准则权重,结... 针对城市更新中社会排斥风险问题,通过文献研究和案例推理从原住区居民视角构建城市更新社会排斥风险评估指标体系,运用Pythagorean犹豫模糊集量化城市更新社会排斥风险值,运用Pythagorean犹豫模糊熵和交叉熵计算专家权重和准则权重,结合矢量投影法和TOPSIS法的思想计算综合贴近度,据此对风险因素进行重要性排序。结果表明:由城市更新带来的空间变化对原住区居民产生的社会排斥风险主要集中于政治排斥风险和劳动力市场排斥风险;其中决策排除、被迫失业、交往次数减少、主观参与意识薄弱、自愿性失业等问题将是城市更新社会排斥风险产生的主要因素。基于评估结果,提出了防范城市更新社会排斥风险的建议。 展开更多
关键词 社会排斥 风险评估 pythagorean犹豫模糊集 TOPSIS 矢量投影
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A hybrid heterogeneous Pythagorean fuzzy group decision modelling for crowdfunding development process pathways of fintech‑based clean energy investment projects 被引量:2
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作者 Yue Meng Haoyue Wu +3 位作者 Wenjing Zhao Wenkuan Chen Hasan Dincer Serhat Yuksel 《Financial Innovation》 2021年第1期689-721,共33页
This study aims to evaluate the crowdfunding alternatives regarding new service development process pathways of clean energy investment projects.In this framework,a new model has been generated by considering the cons... This study aims to evaluate the crowdfunding alternatives regarding new service development process pathways of clean energy investment projects.In this framework,a new model has been generated by considering the consensus-based group decisionmaking with incomplete preferences,Pythagorean fuzzy decision-making trial and evaluation laboratory(DEMATEL)and technique for order preference by similarity to ideal solution(TOPSIS).Moreover,a comparative evaluation has been performed with Vise Kriterijumska Optimizacija I.Kompromisno Resenje methodology and sensitivity analysis has been made by considering 4 different cases.The main contribution is to identify appropriate crowdfunding-based funding alternatives for the improvement of the clean energy investments with a novel MCDM model.By considering the iteration technique and consensus-based analysis,the missing parts in the evaluations can be completed and opposite opinion problems can be reduced.Furthermore,with the help of hybrid MCDM model by combining DEMATEL and TOPSIS,more objective results can be reached.It is concluded that the analysis results are coherent and reliable.The findings indicate that the full launch is the most significant criterion for equity and debt-based crowdfunding alternatives.On the other side,the analysis has the highest weight for reward and donation-based alternatives whereas design is the most essential item regarding the royalty-based alternative.Additionally,it is also defined that equity-based crowdfunding alternative is the most significant for the service development process of clean energy investment projects.In this way,it will be possible to provide a continuous resource for clean energy investment projects.On the other hand,by providing financing with equity,there will be no fixed financing cost for clean energy investors.If these investors make a profit,they distribute dividends with the decision of their authorized bodies. 展开更多
关键词 CROWDFUNDING Project financing Clean energy investments New service development PERT Group decision making pythagorean fuzzy sets DEMATEL TOPSIS VIKOR
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Bipolar Interval-Valued Neutrosophic Optimization Model of Integrated Healthcare System
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作者 Sumbal Khalil Sajida Kousar +2 位作者 Nasreen Kausar Muhammad Imran Georgia Irina Oros 《Computers, Materials & Continua》 SCIE EI 2022年第12期6207-6224,共18页
Bipolar Interval-valued neutrosophic set is another generalization of fuzzy set,neutrosophic set,bipolar fuzzy set and bipolar neutrosophic set and thus when applied to the optimization problem handles uncertain data ... Bipolar Interval-valued neutrosophic set is another generalization of fuzzy set,neutrosophic set,bipolar fuzzy set and bipolar neutrosophic set and thus when applied to the optimization problem handles uncertain data more efficiently and flexibly.Current work is an effort to design a flexible optimization model in the backdrop of interval-valued bipolar neutrosophic sets.Bipolar interval-valued neutrosophic membership grades are picked so that they indicate the restriction of the plausible infringement of the inequalities given in the problem.To prove the adequacy and effectiveness of the method a unified system of sustainable medical healthcare supply chain model with an uncertain figure of product complaints is used.Time,quality and cost are considered as satisfaction level to choose best supplier for medicine procurement.The proposed model ensures 99%satisfaction for cost reduction,63%satisfaction for the quality of product and 64%satisfaction for total time taken in medicine supply chain. 展开更多
关键词 Bipolar fuzzy set neutrosophic set interval-valued neutrosophic set bipolar interval-valued neutrosophic set supply chain fuzzy optimization
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