摘要
针对现有直觉模糊相似度未考虑其隶属度和非隶属度的实践语义且在一些情形下可能出现“违反直觉”等问题,本文提出一种新直觉模糊相似测度,并将其引入直觉模糊决策系统中,定义了直觉模糊相似度下(α,β)-水平截集等概念,并给出相关性质.以粗糙隶属度为评价函数导出目标集的(α,β)-下、上近似集及其三个域.考虑到决策者不同风险态度,基于贝叶斯理论构建一种具有多风险偏好的直觉模糊三支决策模型,并获得决策规则,进而提出一种基于直觉模糊相似度的直觉模糊三支决策方法.最后,通过算例说明该方法的可行性和有效性.
With respect to these problems with unconsideration of practical semantics of membership and non-membership degrees and even"counterintuitive results"in some cases.In this paper,we propose a novel intuitionistic fuzzy similarity degree and then introduce it to intuitionistic fuzzy decision systems,in which the(α,β)-level cut sets under intuitionistic fuzzy similarity degrees are defined and the associated properties are given.The(α,β)-lower and upper approximation of the objective set and its three regions:positive region,negative region and boundary region are induced by using the rough membership function served as the evaluation function.Considering different risk attitudes of decision makers,an intuitionistic fuzzy three-way decision model with multiple risk preference is constructed based on Bayesian theory and the corresponding decision rules are derived.Based on which we propose an intuitionistic fuzzy three-way decision method on the basis of intuitionistic fuzzy similarity degrees.Finally,a numerical example is given to show its feasibility and effectiveness.
作者
刘久兵
周献中
李华雄
黄兵
顾萍萍
LIU Jiubing;ZHOU Xianzhong;LI Huaxiong;HUANG Bing;GU Pingping(School of Management and Engineering,Nanjing University,Nanjing 210093,China;Research Center for Novel Technology of Intelligent Equipment,Nanjing University,Nanjing 210093,China;School of Information Engineering,Nanjing Audit University,Nanjing 211815,China)
出处
《系统工程理论与实践》
EI
CSSCI
CSCD
北大核心
2019年第6期1550-1564,共15页
Systems Engineering-Theory & Practice
基金
国家自然科学基金(71671086,61473157,61876079)
南京大学博士研究生创新创意研究计划项目(CXCY17-08)~~
关键词
直觉模糊相似度
直觉模糊决策系统
贝叶斯理论
三支决策
intuitionistic fuzzy similarity degrees
intuitionistic fuzzy decision systems
Bayesian theory
three-way decisions
