Lattice-valued fuzzy measure and lattice-valued fuzzy integral
β Scribed by Liu Xuecheng; Zhang Guangquan
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 688 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
The concept of lattice valued double fuzzy preproximity is introduced. The relationships among the double fuzzy preproximity, double fuzzy topology and double fuzzy interior (closure) operators are studied.
In this paper, the concept of fuzzy-valued fuzzy measures is introduced at first and then, based on the generalized fuzzy integral given by Wu et al. [Fuzzy Sets and Systems 57 (1993) 219], the generalized fuzzy integral of fuzzy-valued functions with respect to fuzzy-valued fuzzy measures is define
The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0; 1]; the inclusion measure proposed here takes values in a Boolean lattice. In other words, an inclusion is viewed as an