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arxiv: math/0605714 · v1 · submitted 2006-05-28 · 🧮 math.GM

Interval valued intuitionistic (S,T)-fuzzy H_v-submodules

classification 🧮 math.GM
keywords fuzzyintervalintuitionisticvaluedsubmodulesimagenormatanassov
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On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K.Atanassov, the notion of interval valued intuitionistic fuzzy $H_v$-submodules of an $H_v$-module with respect to $t$-norm $T$ and $s$-norm $S$ is given and the characteristic properties are described. The homomorphic image and the inverse image are investigated.In particular, the connections between interval valued intuitionistic $(S,T)$-fuzzy $H_v$-submodules and interval valued intuitionistic $(S,T)$-fuzzy submodules are discussed.

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