The concepts of fuzzy random variable, and the associated fuzzy expected value, have been introduced by Purl and Ralescu as an extension of measurable set-valued functions (random sets), and of the Aumann integral of these functions, respectively. On the other hand, the 2-average function has been s
The fuzzy set-valued measures generated by fuzzy random variables
β Scribed by Li Lushu; Sheng Zhaohan
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 429 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
In this paper we ΓΏrst discuss the measurable projection theorem on fuzzy measure space, and in this framework the characterization theorem with respect to measurability of a set-valued function is given. By means of the asymptotic structural characteristics of fuzzy measure, we discuss four forms of
Previously in Part 1 of the present paper and its supplement an approach was made to an interpretation of membership functions as probability and a proposal of the probabilistic operators with dependence relation of the sets. This paper is an extension to three-valued and interval-valued fuzzy sets.