区间值直觉模糊推理的全蕴涵方法

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英文篇名：Full Implication Method of Interval-valued Intuitionistic Fuzzy Reasoning 作者：彭家寅 英文作者：PENG Jia-yin;School of Mathematics and Information Science,Neijiang Normal University; 关键词：区间值直觉模糊推理 ; 剩余型伴随对 ; 三I算法 ; α-三I算法 ; 三I约束算法 ; 反向三I算法 ; 反向α-三I算法 ; 反向三I约束算法 英文关键词：Interval-valued Intuitionistic Fuzzy Reasoning;;The Residual Adjoint Pair;;Triple I Method;;α-triple Method;;Triple I Restriction Method;;Reverse Triple Method;;Reverse α-triple Method;;Reverse Triple Restriction Method 中文刊名：MUTE 英文刊名：Fuzzy Systems and Mathematics 机构：内江师范学院数学与信息科学学院; 出版日期：2019-06-15 出版单位：模糊系统与数学 年：2019 期：v.33;No.140 基金：教育部数学与应用数学专业综合改革项目(ZG0464);; 四川省科技厅重点科技项目(2006J13-035);; 四川省数学与成用数学专业综合改革项目(01249);; 四川省解析儿何精品开放课程;; 内江师范学院2012年校级精品资源共享课;; 国家自然科学基金资助项目(11071178);; 内江师范学院应用数学重点学科;内江师范学院卓越教师培养计划项目;; 四川省数学与应用数学专业卓越教师培养计划项目 语种：中文; 页：MUTE201903004 页数：11 CN：03 ISSN：43-1179/O1 分类号：39-49

摘要

讨论了区间值直觉模糊集合上的剩余型伴随对的性质,获得了几个重要的结果。提出了IFMP和IFMT问题的区间值直觉模糊推理的三I原则、α-三I原则、三I约束原则、反向三I原则、反向α-三I原则和反向三I约束原则。针对区间值直觉模糊集合上的剩余型伴随对,给出了IFMP、IFMT问题的区间值直觉模糊推理的三I算法、α-三I算法、三I约束算法、反向三I算法、反向α-三I算法及反向三I约束算法解的计算公式,讨论了IFMP、IFMT问题的区间值直觉模糊推理的三I算法和反向三I算法的还原性。
        The properties of the residual adjoint pairs on the interval valued intuitionistic fuzzy sets are discussed, and some important results are obtained. The triple I principles, α-triple I principles, triple constraint principles, reverse triple I principles, reverse α-triple I principles and reverse triple I restriction principles of interval-valued intuitionistic fuzzy reasoning for IFMP and IFMT problems are proposed. Aiming at the residual adjoint pairs on the interval valued intuitionistic fuzzy sets, the formulas of solutions of interval-valued intuitionistic fuzzy reasoning triple I methods, α-triple I method, triple I constraint methods, reverse triple I methods, reverse α-triple I methods and reverse triple I restriction methods based on IFMP and IFMT problems are given. Moreover, the reductive properties of interval-valued intuitionistic fuzzy reasoning triple I methods and reverse triple I methods for IFMP and IFMT problems are discussed.

引文

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