Representation of fuzzy Boolean algebras
โ Scribed by U.M. Swamy; M.K. Murthy
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 427 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0165-0114
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๐ SIMILAR VOLUMES
Several universal approximation and universal representation results are known for non-Boolean multivalued logics such as fuzzy logics. In this paper, we show that similar results can be proven for multivalued Boolean logics as well.
## Abstract Let __M__ be an MVโalgebra and ฮฉ~__M__~ be the set of all __ฯ__ โvaluations from __M__ into the MVโunit interval. This paper focuses on the characterization of MVโalgebras using __ฯ__ โvaluations of MVโalgebras and proves that a __ฯ__ โcomplete MVโalgebra is __ฯ__ โregular, which means