ON INTERRELATIONS BETWEEN FUZZY CONGRUENCE AXIOMS

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

New Mathematics and Natural Computation (NMNC), 2012, vol. 08, issue 03, 297-310

Abstract: In this paper we establish interrelations between fuzzy direct revelation axiom (FDRA), fuzzy transitive-closure coherence axiom (FTCCA), fuzzy consistent-closure coherence axiom (FCCCA) and fuzzy intermediate congruence axiom (FICA). We also establish their relationships with weak fuzzy congruence axiom (WFCA), strong fuzzy congruence axiom (SFCA) and weak axiom of fuzzy revealed preference (WAFRP). Condition for equivalence of fuzzy Arrow axiom (FAA) and weak fuzzy congruence axiom (WFCA) on arbitrary domain is also given.

Keywords: Fuzzy preference relation; fuzzy choice function; fuzzy consistent closure; congruence axioms; fuzzy Arrow axiom (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S1793005712500044

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