Consistency indicators for fuzzy choice functions

✍ Scribed by Irina Georgescu

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 183 KB
• Volume: 53
• Category: Article
• ISSN: 0165-4896
• DOI: 10.1016/j.mathsocsci.2006.09.001

✦ Synopsis

For a fuzzy choice function C we study two consistency indicators F α (C ), F β (C ) and a congruence indicator WFCA(C ). The indicators F α (C ) and F β (C ) express the degree to which C verifies the extension to the fuzzy case of Sen's conditions α and β, while WFCA(C) evaluates the degree to which C verifies the weak fuzzy congruence axiom WFCA. The main result of the paper shows that WFCA(C ) is the minimum of F α (C ) and F β (C ). The three indicators can be used for obtaining a hierarchy of a class of fuzzy choice functions.