吉林大学学报（理学版）2019，Vol.57Issue(5)：1014-1022,9.DOI:10.13413/j.cnki.jdxblxb.2018475
区间值模糊集中蕴涵算子基于重叠和分组函数的分配性
Distributivity of Implication Operator on Overlap and Grouping Functions in Interval‐Valued Fuzzy Set
摘要
Abstract
Using the method and principle of interval‐valued fuzzy set ,w e introduced the concepts of representable interval overlap and grouping functions ,under the boundary conditions ,the solutions to the following four functional equations and the like w ere given :I(x ,O1 (y ,z))＝ O2 (I(x ,y) ,I(x ,z)) ; I(O(x ,y) ,z)＝G(I(x ,z) ,I(y ,z)) ;I(G (x ,y) ,z )＝ O (I(x ,z) ,I(y ,z )) ; I(x ,G1 (y ,z ))＝G2 (I(x ,y) ,I(x ,z )). It was show n that the solutions of the distributivity equations about t‐representable and continuous Archimedean t‐norms (t‐conorm s) w ere similar to the above results .关键词
区间值模糊集/模糊蕴涵/分配性/重叠函数/分组函数/函数方程Key words
interval‐valued fuzzy set / fuzzy implication / distributivity / overlap function / grouping function /functional equation分类
数理科学引用本文复制引用
吴涛,赵彬..区间值模糊集中蕴涵算子基于重叠和分组函数的分配性[J].吉林大学学报（理学版）,2019,57(5):1014-1022,9.基金项目
国家自然科学基金(批准号:11531009 （）
11971286). （）
