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Fuzzy Measures and the Entropy of Fuzzy Partitions

✍ Scribed by D. Dumitrescu

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 390 KB
Volume: 176
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1220

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✦ Synopsis

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, in "Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, 1985," pp. 71-74]. This notion contains as a particular case a well-known concept of entropy [M. A. Gil et al., Fuzzy Sets and Systems 15 (1985), 65-78; H. Tanaka et al.. Kybernetes 5 (1976), 25-30; I. J. Taneja, Bivariate entropies of finite partitions of fuzzy sets, in "Preprints of Second IFSA Congress, Tokyo, 1987," Vol. 2, pp. (696-699]). The aim of this paper is to review some basic properties of the considered entropy. 1993 Academic Press. Inc.

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