Distances of Fuzzy Choice Functions

Irina Georgescu and Jani Kinnunen ()
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Jani Kinnunen: Institute for Advanced Management Systems Research, Abo Akademi University, Jouhakaisenkatu 35 A 4th floor, Turku 20520, Finland

New Mathematics and Natural Computation (NMNC), 2015, vol. 11, issue 03, 249-265

Abstract: In this paper, we introduce four distances on the set of fuzzy choice functions defined on a finite choice space. They are studied along with four distances on the set of fuzzy relations. The two types of distance allow to investigate the way the changes in fuzzy preferences are reflected in the changes of fuzzy choice associated with them. Also the way the changes in fuzzy choices manifest themselves in changes in fuzzy preferences are studied. The coefficient of normality of a fuzzy choice function is defined as a measure of normality and its variation is evaluated with respect to the variation of fuzzy choices. Finally, the variation of some congruence indicators is evaluated as effect of the changes in fuzzy choices.

Keywords: Fuzzy choice function; normality coefficient; distance (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S1793005715500088

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