On characterizations of the fully rational fuzzy choice functions

Document Type : Original Manuscript


1 Department of Mathematics, Shivaji University, Vidyanagar Kolhapur (Maharashtra)-India-416004

2 Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon (M.S.)-425001 India


In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzy
congruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. We
express full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.


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