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几类广义模糊集的关系
引用本文:裴道武.几类广义模糊集的关系[J].模糊系统与数学,2012,26(4):108-116.
作者姓名:裴道武
作者单位:浙江理工大学理学院,浙江杭州,310018
基金项目:国家自然科学基金资助项目
摘    要:经过近五十年的发展,模糊集在理论与应用两个领域的研究都已经取得长足的进展,特别地,在模糊决策等应用领域,涌现了几类重要的广义模糊集,包括区间值模糊集,直觉模糊集,区间值直觉模糊集,II型模糊集,Vague集,灰集等。本文简要介绍关于这些广义模糊集之间关系的研究成果,以及国外关于直觉模糊集术语问题的争议。

关 键 词:模糊集  区间值模糊集  直觉模糊集  区间值直觉模糊集  II型模糊集

Relationships of Several Classes of Generalized Fuzzy Sets
PEI Dao-wu.Relationships of Several Classes of Generalized Fuzzy Sets[J].Fuzzy Systems and Mathematics,2012,26(4):108-116.
Authors:PEI Dao-wu
Institution:PEI Dao-wu(School of Sciences,Zhejiang Sci-Tech University,Hangzhou 310018,China)
Abstract:In the past 47 years,fuzzy sets have been greatly developed in both aspects of theory and application.In particular,several new classes of extensions of fuzzy sets,called generalized fuzzy sets here,have been proposed in some applied areas such as fuzy decision making.These extensions conclude interval valued fuzzy sets,intuitionistic fuzzy sets,interval valued intuitionistic fuzzy sets,type-2 fuzzy sets,vague sets,gray sets,and so on.This paper reviews main results about discissions of relationships between these generalied fuzzy sets,and introduces the controversy on the terminological problem of intuitionistic fuzzy sets.
Keywords:Fuzzy Set  Interval Valued Fuzzy Set  Intuitionistic Fuzzy Set  Interval Valued Intuitionistic Fuzzy Set  Type-2 Fuzzy Set
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