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Aggregation Methods For Fuzzy Judgments

Author

Listed:
  • A. Syed

    (Lahore School of Economics, Lahore 53200, Pakistan)

  • I. Beg

    (Lahore School of Economics, Lahore 53200, Pakistan)

  • A. Khalid

    (Lahore School of Economics, Lahore 53200, Pakistan)

Abstract

Arrow (1963) established that a group cannot always reach logically consistent collective outcome. Subsequently many developments like premise based, conclusion based and distance based methods have emerged in literature to reach group consistency. This study is focused on the judgment aggregation in fuzzy logic based setting with novel involvement of family of t-norms. We compare three distance based methods due to Miller and Osherson (2009) using Lukasiewicz and min t-norm. These methods in fuzzy logic based settings give closer results to consistency of outcome. It also broaden the set of properties and authenticity of the methods. Distance methods in our study also satisfy Arrow’s axioms in solution method.

Suggested Citation

  • A. Syed & I. Beg & A. Khalid, 2016. "Aggregation Methods For Fuzzy Judgments," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 21(1), pages 3-21, May.
    • Handle: RePEc:fzy:fuzeco:v:21:y:2016:i:1:p:3-21
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    Cited by:

    1. Ionut Viorel Herghiligiu & Ioan-Bogdan Robu & Marius Pislaru & Adrian Vilcu & Anca Laura Asandului & Silvia Avasilcăi & Catalin Balan, 2019. "Sustainable Environmental Management System Integration and Business Performance: A Balance Assessment Approach Using Fuzzy Logic," Sustainability, MDPI, vol. 11(19), pages 1-30, September.

    More about this item

    Keywords

    judgment aggregation; fuzzy; collective decision;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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