IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v12y2016i03ns1793005716500125.html
   My bibliography  Save this article

Full Rationality of Fuzzy Choice Functions on Base Domain Through Indicators

Author

Listed:
  • Santosh Desai

    (Department of Mathematics, Tatyasaheb Kore Institute of Engineering and Technology, Warananagar, Kolhapur 416113, Maharashtra, India)

  • Rupali Potdar

    (Department of Mathematics, Veermata Jijabai Technological Institute, Matunga, Mumbai 400019, Maharashtra, India)

Abstract

This paper introduces indicators of the weak fuzzy T-congruence axiom and the fuzzy Chernoff axiom. These indicators measure the degree to which the fuzzy choice function satisfies the weak fuzzy T-congruence axiom and the fuzzy Chernoff axiom. The indicator of the full rationality is expressed in terms of indicators of weak fuzzy T-congruence axiom and the fuzzy Chernoff axiom.

Suggested Citation

  • 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.
  • Handle: RePEc:wsi:nmncxx:v:12:y:2016:i:03:n:s1793005716500125
    DOI: 10.1142/S1793005716500125
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005716500125
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S1793005716500125?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bernard Baets & János Fodor, 1997. "Twenty years of fuzzy preference structures (1978–1997)," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 20(1), pages 45-66, June.
    2. Kotaro Suzumura, 1976. "Rational Choice and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(1), pages 149-158.
    3. Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2006. "Rationalizability of choice functions on general domains without full transitivity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 435-458, December.
    4. Irina Georgescu, 2007. "Arrow’s Axiom and Full Rationality for Fuzzy Choice Functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(2), pages 303-319, February.
    5. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    6. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 381-393.
    7. John N. Mordeson & Kiran R. Bhutani & Terry D. Clark, 2008. "The Rationality Of Fuzzy Choice Functions," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 309-327.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Christopher Tyson, 2013. "Behavioral implications of shortlisting procedures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 941-963, October.
    3. S. Chaudhari & S. Desai, 2014. "Transitive and acyclic rationality indicators of fuzzy choice functions on base domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 341-365, February.
    4. Christopher Tyson, 2013. "Behavioral implications of shortlisting procedures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 941-963, October.
    5. Clark, Stephen A., 1995. "Indecisive choice theory," Mathematical Social Sciences, Elsevier, vol. 30(2), pages 155-170, October.
    6. Bossert, Walter & Suzumura, Kotaro, 2007. "Social Norms and Rationality of Choice," Cahiers de recherche 2007-07, Universite de Montreal, Departement de sciences economiques.
    7. Walter Bossert & Marc Fleurbaey, 2015. "An Interview with Kotaro Suzumura," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 179-208, January.
    8. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro & 鈴村, 興太郎, 2002. "Consistent Rationalizability," Discussion Paper 82, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    9. Walter Bossert & Kotaro Suzumura, 2011. "Rationality, external norms, and the epistemic value of menus," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 729-741, October.
    10. Haghani, Milad & Bliemer, Michiel C.J. & Hensher, David A., 2021. "The landscape of econometric discrete choice modelling research," Journal of choice modelling, Elsevier, vol. 40(C).
    11. Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2019. "Congruence relations on a choice space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 247-294, February.
    12. BOSSERT, Walter & SUZUMURA, Kotaro, 2005. "Rational Choice on Arbitrary Domains: A Comprehensive Treatment," Cahiers de recherche 17-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    13. Christopher J. Tyson, 2018. "Rationalizability of menu preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 917-934, June.
    14. Santosh C. Panda, 2018. "Rational Choice with Intransitive Preferences," Studies in Microeconomics, , vol. 6(1-2), pages 66-83, June.
    15. Christopher Tyson, 2015. "Satisficing behavior with a secondary criterion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 639-661, March.
    16. He, Junnan, 2011. "A Generalization of Sen’s Unification Theorem: Avoiding the Necessity of Pairs and Triplets," MPRA Paper 37094, University Library of Munich, Germany.
    17. Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2006. "Rationalizability of choice functions on general domains without full transitivity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 435-458, December.
    18. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "Non-Deteriorating Choice without Full Transitivity," Cahiers de recherche 10-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    19. Indraneel Dasgupta, 2011. "Contraction consistent stochastic choice correspondence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 643-658, October.
    20. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:nmncxx:v:12:y:2016:i:03:n:s1793005716500125. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/nmnc/nmnc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.