Definition and construction of fuzzy DI-subsethood measures
Information SciencesPublished 11 August 2005
Humberto Bustince, V. Mohedano, Edurne Barrenechea, Miguel Pagola
Citations124
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SJR score1.80
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TL;DR
This paper establishes the conditions under which the constructions of Young's subsethood measures satisfy the axioms of Sinha and Dougherty's inclusion measures and presents different methods for obtaining fuzzy entropies from said measures.
Abstract
In this paper we study a method of construction of the fuzzy subsethood measures of V.R. Young [V.R. Young, Fuzzy subsethood, Fuzzy Sets and Systems 77 (1996) 371–384] and the fuzzy subsethood measures of J. Fan, X. Xie, and J. Pei [J. Fan, X. Xie, J. Pei, Subsethood measures: new definitions, Fuzzy Sets and Systems 106 (1999) 201–209]. We establish the conditions under which our constructions satisfy the axioms of Sinha and Dougherty's inclusion measures and we present different methods for obtaining fuzzy entropies from said measures. Next we present a particular case of Young's subsethood measures, DI-subsethood measures. For these we also analyze their construction and the conditions under which they satisfy different axioms.
Keywords
MathematicsDecision Sciences
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