Homomorphism ff Intuitionistic \((\alpha, \beta)\)-fuzzy \(H_v\)- Submodule


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.


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