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Type-2 Fuzzy Entropy Sets

delete2017-08-01
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L
Laura De Miguel *
H
Hélida Santos
M
Mikel Sesma‐Sara
B
Benjamín Bedregal
A
Aránzazu Jurío
H
Humberto Bustince
H
Hani Hagras
DOI:10.1109/TFUZZ.2016.2593497delete
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Abstract

Abstract

En 中文
The final goal of this study is to adapt the concept of fuzzy entropy of De Luca and Termini to deal with type-2 fuzzy sets. We denote this concept type-2 fuzzy entropy set. However, the construction of the notion of entropy measure on an infinite set, such us [0, 1], is not effortless. For this reason, we first introduce the concept of quasi-entropy of a fuzzy set on the universe [0, 1]. Furthermore, whenever the membership function of the considered fuzzy set in the universe [0, 1] is continuous, we prove that the quasi-entropy of that set is a fuzzy entropy in the sense of De Luca and Termini. Finally, we present an illustrative example, where we use type-2 fuzzy entropy sets instead of fuzzy entropies in a classical fuzzy algorithm.
Keywords:
Entropy measure
quasi-entropy measure
type-2 fuzzy sets (T2FSs)
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IEEE Transactions on Fuzzy Systems cover
IEEE Transactions on Fuzzy Systems
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