摘要
三角模(三角余模)是一类重要的模糊算子,广泛应用于模糊控制、模糊聚类和人工智能中。作为三角模(三角余模)的推广,一致模广泛应用于多值逻辑、专家系统、图像处理、信息融合等领域。本文围绕一致模的序关系展开讨论,针对每一类一致模分析了相应的最大元和最小元,对一致模的应用具有一定的指导意义。
Triangle norm(triangle conorm)is a kind of important fuzzy operator which is widely used in fuzzy control,fuzzy clustering and artificial intelligence.As the extension of triangle norm(triangle conorm),uninorm is extensively used in multi-valued logic,expert system,image processing,information fusion and many other fields.In this paper,the order relations of uninorms are discussed,and the corresponding maximum and minimum elements are analyzed for each class of uninorms,which is of guiding significance for the application of uninorms.
作者
侯晓东
李钢
HOU Xiao-dong;LI Gang(School of Mathematics and Statistics,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China)
出处
《齐鲁工业大学学报》
2019年第1期74-80,共7页
Journal of Qilu University of Technology
基金
国家自然科学基金(61573211)
关键词
一致模
序关系
三角模
uninorm
order relation
triangular norm
