Sinha–Dougherty approach to the fuzzification of set inclusion revisited
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2023, Fuzzy Sets and SystemsCitation Excerpt :This conjecture has had a significant impact in the literature and has been assumed to be true by many authors (e.g., it appears in [2,3,7]). By the results of [4], it also pertains to Sinha and Dougherty's axioms [8], which define a class of inclusion measures that is strictly included into the one characterised by Kitainik axioms. Sadly, as we will demonstrate in this short communication, Fodor and Yager's conjecture fails in general when the universe of discourse in which fuzzy sets are defined is infinite.
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