Fuzzy regular and inverse subsemigroups
โ Scribed by Pratyayananda Das
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 465 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
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 interrelationship between fuzzy analogues of unitary subsemigroup, inverse subsemigroup and closed subsemigroup of an inverse semigroup are obtained.
๐ 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