序贯模糊选择函数β相关条件的研究  

A Study on the β-related Conditions for Sequential Fuzzy Choice Functions

作　　者：牛樊樊 王绪柱 NIU Fan-fan;WANG Xu-zhu(College of Mathematics, Taiyuan University of Technology, Yuci 030600, Chin)

机构地区：[1]太原理工大学数学学院,山西榆次030600

出　　处：《模糊系统与数学》2018年第3期118-127,共10页Fuzzy Systems and Mathematics

摘　　要：本文对序贯模糊选择函数的收缩扩张类条件(β相关条件)进行了详细的研究。首先,在普通情况下,研究了两个选择函数分别满足该类条件时,序贯选择函数(它们的合成)满足这类条件的情况。然后我们以普通情况下的结论为基础,在模糊情况下进行类似的讨论,进而给出模糊情况下序贯模糊选择函数满足β相关条件的情况。In this paper,a type of expansion-contraction conditions,β-related conditions,for sequential fuzzy choice functions are studied in detail.Firstly,we investigate whether the sequential choice function,or the composition of two choice functions with this kind of conditions still satisfies them in the crisp case.Then,based on the obtained results,we carry out a similar investigation into choice functions in the fuzzy case,and find out whether the sequential fuzzy choice function of two fuzzy choice functions withβ-related conditions satisfies them.

关 键 词：序贯选择函数 序贯模糊选择函数 条件β β2 β′ β^+ 条件Fβ Fβ2 Fβ′ Fβ^+ 

分 类 号：O159[理学—数学]