区间值模糊集和区间值模糊推理  

Interval-valued Fuzzy Sets and Interval-valued Fuzzy Reasoning

作　　者：吴望名[1] 

机构地区：[1]上海师范大学数学系

出　　处：《模糊系统与数学》1992年第2期38-48,共11页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金

摘　　要：本文在单位区间的一切子区间集Ⅰ[0,1]上引入t-范、t-余范、交(∩)、并(∪)等概念,在此基础上定义了区间值模糊集中的新的交并运算和区间值模糊关系的新的合成运算,得出若干有趣的性质,并将其应用于区间值模糊推理的合成规则上。In this paper, based on the concepts of t-norm and t-conorm in the set of all subinterval of [0, 1], a pair of new intersection-union operator in an interval-valued fuzzy power set is introduced and a new composition of interval-valued fuzzy relations is defined. Furthermore, a method of approximate inference which operates on the concept of an interval-valued fuzzy set is discussed. An example showing how this method operates is provided.

关 键 词：区间值模糊集 区间值模糊推理 t-范 t-余范 

分 类 号：O159[理学—数学] O141[理学—基础数学]