Homomorphism ff Intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)- Submodule
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Authors
M. Asghari-Larimi
- Department of Mathematics, Golestan University, Gorgan, Iran
Abstract
The notion of intuitionistic fuzzy sets was introduced by Atanassov as a
generalization of the notion of fuzzy sets. Using the notion of ”belongingness (\(\in\)) ”
and ”quasi-coincidence (q) ” of fuzzy points with fuzzy sets, we introduce the
concept of an intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)-submodule of an \(H_v\)-modules,
where \(\alpha\in \{\in , q\},\beta\in\{\in,q,\in\vee q,\in\wedge q\}\) . The concept of a homomorphism of
intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)-submodule is considered, and some interesting
properties are investigated.
Share and Cite
ISRP Style
M. Asghari-Larimi, Homomorphism ff Intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)- Submodule, Journal of Mathematics and Computer Science, 3 (2011), no. 3, 287--300
AMA Style
Asghari-Larimi M., Homomorphism ff Intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)- Submodule. J Math Comput SCI-JM. (2011); 3(3):287--300
Chicago/Turabian Style
Asghari-Larimi, M.. "Homomorphism ff Intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)- Submodule." Journal of Mathematics and Computer Science, 3, no. 3 (2011): 287--300
Keywords
- Hyperstructure
- Fuzzy set
- Intuitionistic fuzzy set
- \(H_v\)-Module
- Intuitionistic \((\alphaĜ\beta )\)-fuzzy \(H_v\) -submodule
- Sup property.
MSC
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