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- W2016236227 abstract "In this paper, we introduce an axiomatic definition of an interval-valued fuzzy sets’ inclusion measure which is different from Bustince’s [H. Bustince, Indicator of inclusion grade for interval-valued fuzzy sets, Applications to approximate reasoning based on interval-valued fuzzy sets, International Journal of Approximate Reasoning, 23 (2000) 137–209]. The relationship among the normalized distance, the similarity measure, the inclusion measure, and the entropy of interval-valued fuzzy sets is investigated in detail. Furthermore, six theorems are proposed showing how the similarity measure, the inclusion measure, and the entropy of interval-valued fuzzy sets can be deduced by the interval-valued fuzzy sets’ normalized distance based on their axiomatic definitions. Some formulas have also been put forward to calculate the similarity measure, the inclusion measure, and the entropy of interval-valued fuzzy sets." @default.
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- W2016236227 date "2008-03-01" @default.
- W2016236227 modified "2023-10-15" @default.
- W2016236227 title "Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship" @default.
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- W2016236227 doi "https://doi.org/10.1016/j.ins.2007.10.007" @default.
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