In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets ~IFSs!. We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bust
Entropy of fuzzy events
β Scribed by F. Criado; T. Gachechiladze
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 451 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In order to elaborate a theory of communication which could be useful for designing a great variety of real communication systems it is necessary to consider the superposition of two kinds of uncertainties: probabilistic and possibilistic. For example Zadeh's general formula for the entropy of fuzzy random events takes into account these two basic uncertainties.
In this paper we consider Zadeh's entropy, structurally related with this quantity a weighted entropy of De Luca and Termini and also the genetic connection of these entropies with Shannon's entropy function. @1997 Elsevier Science B.V.
π SIMILAR VOLUMES
Using an additive fuzzy measure a notion of the entropy of a finite fuzzy partition has been defined [D. Dumitrescu, On fuzzy partitions, in "Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, 1983;" pp. 57-60; D. Dumitrescu and M. Barbu, Fuzzy entropy and processes