Regular and inverse (a, b; e., ~a V q(a,b)) -fuzzy subsemigroups are defined. The concept of fuzzy analogue of normal subsemigroup is introduced. Using a type of fuzzy congruence relation, a fuzzy quotient subgroup of a fuzzy inverse subsemigroup is constructed. Some results concerning the interrela
Code theory and fuzzy subsemigroups
β Scribed by Giangiacomo Gerla
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 449 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper, we introduce the concepts of the fuzzy complete inner-unitary subsemigroups and the fuzzy group congruences on a semigroup. Some of their properties are investigated. Also, we show that there is a one to one correspondence between the fuzzy complete inner-unitary subsemigroups and the
## Abstract The main theorem in this paper is a farβreaching generalization of Gleason's theorem on the weight enumerators of codes which applies to arbitraryβgenus weight enumerators of selfβdual codes defined over a large class of finite rings and modules. The proof of the theorem uses a categori