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On Interrelations Between Fuzzy Congruence Axioms

Author

Listed:
  • 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)

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.

Suggested Citation

  • S. R. Chaudhari & S. S. Desai, 2012. "On Interrelations Between Fuzzy Congruence Axioms," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 8(03), pages 297-310.
    • Handle: RePEc:wsi:nmncxx:v:08:y:2012:i:03:n:s1793005712500044
    DOI: 10.1142/S1793005712500044
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