Arrow’s Axiom and Full Rationality for Fuzzy Choice Functions

Irina Georgescu

doi:10.1007/s00355-006-0160-9

Arrow’s Axiom and Full Rationality for Fuzzy Choice Functions

Social Choice and Welfare ◽

10.1007/s00355-006-0160-9 ◽

2006 ◽

Vol 28 (2) ◽

pp. 303-319 ◽

Cited By ~ 10

Author(s):

Irina Georgescu

Keyword(s):

Choice Functions ◽

Full Rationality ◽

Fuzzy Choice Functions

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ON THE FULL RATIONALITY OF FUZZY CHOICE FUNCTIONS ON BASE DOMAIN

New Mathematics and Natural Computation ◽

10.1142/s1793005712400108 ◽

2012 ◽

Vol 08 (02) ◽

pp. 183-193 ◽

Cited By ~ 4

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.

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Full Rationality of Fuzzy Choice Functions on Base Domain Through Indicators

New Mathematics and Natural Computation ◽

10.1142/s1793005716500125 ◽

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.

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ON QUASI-TRANSITIVE RATIONALITY OF FUZZY CHOICE FUNCTIONS

New Mathematics and Natural Computation ◽

10.1142/s1793005714500057 ◽

2014 ◽

Vol 10 (01) ◽

pp. 91-102 ◽

Cited By ~ 1

Author(s):

SANTOSH DESAI

Keyword(s):

Choice Functions ◽

Full Rationality ◽

Fuzzy Choice Functions ◽

Independent Property

In literature many researchers have studied full rationality of fuzzy choice functions. The aim of the present paper is to discuss rationality of fuzzy choice functions with rationalization reflexive, complete and quasi-transitive. For this purpose, we use fuzzy path independent property and fuzzy Condorcet property. We characterize rationality of fuzzy choice functions with reflexive, complete and quasi-transitive rationalization in terms of these axioms.

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