Return
Type-2 Fuzzy Entropy Sets
DOI:10.1109/TFUZZ.2016.2593497.png)
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)
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
11.9
Papers:
5.0K
Citations:
2.9W


