Quasi-Transitive Rationality of Fuzzy Choice Functions Through Indicators

S. S. Desai and A. S. Desai
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S. S. Desai: Department of Mathematics, Tatyasaheb Kore Institute of Engineering and Technology, Warananagar, Kolhapur 416113, Maharashtra, India
A. S. Desai: Department of Sciences and Humanities, K. J. Somaiya College of Engineering, Vidyavihar, Mumbai 400077, Maharashtra, India

New Mathematics and Natural Computation (NMNC), 2016, vol. 12, issue 03, 191-208

Abstract: The aim of this paper is to study a quasi-transitive rationality of the fuzzy choice functions through indicators. In this paper, we introduce the indicators of the path independent property, fuzzy Condorcet property and fuzzy α2 condition of a fuzzy choice function. These indicators measure the degree to which the fuzzy choice function satisfies the fuzzy path independent, fuzzy Condorcet property and fuzzy α2 condition, respectively. We express the indicator of quasi-transitive rationality in terms of the indicator of the path independent, Condorcet property and fuzzy α2 condition.

Keywords: Fuzzy choice function; quasi-transitive rationality indicators; fuzzy path independent property; fuzzy Condorcet property; fuzzy α2 condition (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S1793005716500137

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