The purpose of the present paper is to introduce and study the concept of conditional entropy of fuzzy sub cr-algebras having finitely many atoms.
Conditional Fuzzy Entropy of Maps in Fuzzy Systems
โ Scribed by Wen-Chiao Cheng
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 430 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1433-0490
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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