Back to Search
Start Over
A New View on Fuzzy Hypermodules.
- Source :
-
Acta Mathematica Sinica . Aug2007, Vol. 23 Issue 8, p1345-1356. 12p. - Publication Year :
- 2007
-
Abstract
- We describe the relationship between the fuzzy sets and the algebraic hyperstructures. In fact, this paper is a continuation of the ideas presented by Davvaz in ( Fuzzy Sets Syst., 117: 477– 484, 2001) and Bhakat and Das in ( Fuzzy Sets Syst., 80: 359–368, 1996). The concept of the quasicoincidence of a fuzzy interval value with an interval-valued fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of a fuzzy point in fuzzy sets. By using this new idea, the concept of interval-valued ( α, β)-fuzzy sub-hypermodules of a hypermodule is defined. This newly defined interval-valued ( α, β)-fuzzy sub-hypermodule is a generalization of the usual fuzzy sub-hypermodule. We shall study such fuzzy sub-hypermodules and consider the implication-based interval-valued fuzzy sub-hypermodules of a hypermodule. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUZZY sets
*SET theory
*FUZZY logic
*MATHEMATICAL logic
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 23
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 25684488
- Full Text :
- https://doi.org/10.1007/s10114-007-0951-7