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Entropy of fuzzy partitions: A general model

✍ Scribed by Radko Mesiar; Ján Rybárik

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
385 KB
Volume
99
Category
Article
ISSN
0165-0114

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✦ Synopsis

The entropy of fuzzy partitions with regard to a fuzzy measure is analyzed. A general model based on pseudoarithmetical operations and g-functions will be created. The entropy of fuzzy partitions introduced by Ruspini [Inform. and Control 15 (1969) 22] and Dumitrescu I-J. Math. Anal. Appl. 176 (1993) 359] is shown to be reasonable only up to an isomorphism.

📜 SIMILAR VOLUMES

Fuzzy Measures and the Entropy of Fuzzy
Fuzzy Measures and the Entropy of Fuzzy Partitions
✍ D. Dumitrescu 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 390 KB

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

The entropy of fuzzy dynamical systems,
The entropy of fuzzy dynamical systems, general scheme and generators
✍ B. Riečan; D. Markechová 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 516 KB

In this paper, some fuzzy modifications of the Kolmogorov-Sinaj entropy are studied. We introduce the general scheme which includes the mentioned entropies. Finally, the Kolmogorov-Sinaj theorem on generators is proved for special cases.