真值为格值的二型模糊集及其运算

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英文篇名：Type-2 Fuzzy Sets with Lattice Values as Truth Values and Their Operations 作者：严卫平 ; 王学平 英文作者：YAN Weiping;WANG Xueping;College of Mathematics and Software Science,Sichuan Normal University; 关键词：完备分配格 ; 模糊真值代数 ; 二型模糊集 英文关键词：complete distributive lattices;;algebra of fuzzy truth values;;type-2 fuzzy sets 中文刊名：SCSD 英文刊名：Journal of Sichuan Normal University(Natural Science) 机构：四川师范大学数学与软件科学学院; 出版日期：2019-05-20 出版单位：四川师范大学学报(自然科学版) 年：2019 期：v.42 基金：国家自然科学基金(61573240) 语种：中文; 页：SCSD201903003 页数：7 CN：03 ISSN：51-1295/N 分类号：21-27

摘要

将二型模糊集从[0,1]扩展到完备分配格上,讨论真值为格值的二型模糊集真值代数的运算及其性质,如交换律、结合律、分配律及幂等性等.
        This paper deals with type-2 fuzzy sets whose truth values are in a complete distributive lattice. First,it generalizes type-2 fuzzy sets from [0,1] to a complete distributive lattice. Then it discusses the operations on type-2 fuzzy sets with lattice values as truth values and their properties,for instance,commutativity,associativity,distributivity and idempotent.

引文

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