Fuzzy measures and measures of fuzziness
โ Scribed by Wang Zi-Xiao
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 485 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three important measures in fuzzy set theory. In this article, we investigate the relations among inclusion measures, similarity measures, and the fuzziness of fuzzy sets, prove eight theorems that inclusion measures,
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
A hesitant fuzzy set, allowing the membership of an element to be a set of several possible values, is very useful to express people's hesitancy in daily life. In this paper, we define the distance and correlation measures for hesitant fuzzy information and then discuss their properties in detail. T