ON THE FULL RATIONALITY OF FUZZY CHOICE FUNCTIONS ON BASE DOMAIN

S. S. Desai () and S. R. Chaudhari ()
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S. S. Desai: Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur (M.S.)-416004, India
S. R. Chaudhari: Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur (M.S.)-416004, India

New Mathematics and Natural Computation (NMNC), 2012, vol. 08, issue 02, 183-193

Abstract: 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 fuzzyT-congruence axiom. We characterize full rationality of fuzzy choice functions in terms of this axiom and the fuzzy Chernoff axiom. Also, we prove thatG-rational fuzzy choice functions with transitive rationalizations satisfying fuzzy Chernoff axiom characterizes their full rationality.

Keywords: Fuzzy choice functions; full rationality; weak fuzzyT-congruence axiom; fuzzy Chernoff axiom; 62C86; 91B14; 91B08 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S1793005712400108

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