Transitive and acyclic rationality indicators of fuzzy choice functions on base domain

2013 ◽  
Vol 42 (2) ◽  
pp. 341-365 ◽  
Author(s):  
S. R. Chaudhari ◽  
S. S. Desai
Keyword(s):  
Choice Functions ◽  
Fuzzy Choice Functions ◽  
Base Domain

ON THE FULL RATIONALITY OF FUZZY CHOICE FUNCTIONS ON BASE DOMAIN

2012 ◽  
Vol 08 (02) ◽  
pp. 183-193 ◽  
Author(s):  
S. S. DESAI ◽  
S. R. CHAUDHARI
Keyword(s):  
Choice Functions ◽  
Full Rationality ◽  
Fuzzy Choice Functions ◽  
Base Domain

The aim of this paper is to discuss the full rationality of fuzzy choice functions defined on base domain. For this purpose, we introduce weak fuzzy T-congruence axiom. We characterize full rationality of fuzzy choice functions in terms of this axiom and the fuzzy Chernoff axiom. Also, we prove that G-rational fuzzy choice functions with transitive rationalizations satisfying fuzzy Chernoff axiom characterizes their full rationality.

Full Rationality of Fuzzy Choice Functions on Base Domain Through Indicators

2016 ◽  
Vol 12 (03) ◽  
pp. 175-189
Author(s):  
Santosh Desai ◽  
Rupali Potdar
Keyword(s):  
Choice Function ◽  
Choice Functions ◽  
Full Rationality ◽  
Fuzzy Choice Functions ◽  
Fuzzy Choice Function ◽  
Base Domain

This paper introduces indicators of the weak fuzzy T-congruence axiom and the fuzzy Chernoff axiom. These indicators measure the degree to which the fuzzy choice function satisfies the weak fuzzy T-congruence axiom and the fuzzy Chernoff axiom. The indicator of the full rationality is expressed in terms of indicators of weak fuzzy T-congruence axiom and the fuzzy Chernoff axiom.

scholarly journals On a correspondence between probabilistic and fuzzy choice functions

2017 ◽  
Vol 17 (3) ◽  
pp. 247-264 ◽  
Author(s):  
Davide Martinetti ◽  
Susana Montes ◽  
Susana Díaz ◽  
Bernard De Baets
Keyword(s):  
Choice Functions ◽  
Fuzzy Choice Functions

Similarity of fuzzy choice functions

2007 ◽  
Vol 158 (12) ◽  
pp. 1314-1326 ◽  
Author(s):  
Irina Georgescu
Keyword(s):  
Choice Functions ◽  
Fuzzy Choice Functions

A further study on rationality conditions of fuzzy choice functions

2011 ◽  
Vol 176 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Caiping Wu ◽  
Xuzhu Wang ◽  
Yonghua Hao
Keyword(s):  
Choice Functions ◽  
Fuzzy Choice Functions

Fuzzy choice functions

1991 ◽  
Vol 8 (2) ◽  
Author(s):  
M. Dasgupta ◽  
R. Deb
Keyword(s):  
Choice Functions ◽  
Fuzzy Choice Functions
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