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On The Full Rationality Of Fuzzy Choice Functions On Base Domain

Author

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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)

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.

Suggested Citation

  • S. S. Desai & S. R. Chaudhari, 2012. "On The Full Rationality Of Fuzzy Choice Functions On Base Domain," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 183-193.
    • Handle: RePEc:wsi:nmncxx:v:08:y:2012:i:02:n:s1793005712400108
    DOI: 10.1142/S1793005712400108
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    Cited by:

    1. S. S. Desai & A. S. Desai, 2016. "Quasi-Transitive Rationality of Fuzzy Choice Functions Through Indicators," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 191-208, November.
    2. Santosh Desai & Rupali Potdar, 2016. "Full Rationality of Fuzzy Choice Functions on Base Domain Through Indicators," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 175-189, November.

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