模糊選擇函數(shù)合理性程度的研究.pdf

1、太原理工大學碩士學位論文模糊選擇函數(shù)合理性程度的研究姓名：趙麗琴申請學位級別：碩士專業(yè)：@指導教師：@@太原理工大學碩士研究生學位論文 2 A STUDY ON THE RATIONALITY DEGREE OF FUZZY CHOICE FUNCTIONS ABSTRACT A STUDY ON THE RATIONALITY DEGREE OF FUZZY CHOICE FUNCTIONS ABSTRACT In this thes

2、is, under the conditions that every choice set is normal and that the involved t-norms are left-continuous,we use the similarity degree of fuzzy relations, and study the kinds of condition degree of fuzzy choi

3、ce function. The main research is summarized as follows: Firstly, we discuss the property of similarity degree of two fuzzy relations and obtain the relation between the two fuzzy relations property degree on

4、 the basis of the similarity degree of the two fuzzy relation, for example,the relation of reflexity degree and symmetry degree and so on. Then we discuss the two rationality degrees and the two normality degrees and pro

5、ve the four degrees are equal when the revealed preference relation is reflexive, complete and t-torm is Lukasiwicz t-torm,In addition, we obtain relations between the rationality degree of the two functions on the basis

6、 of the similarity degree of the two fuzzy choice functions. Finally,we discuss the connections of WAFRP degree, SAFRT degree, WFCA degree, and SFCA degree of fuzzy choice function, Complement Georgescu’s conclusions, a