Abstract
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 a t–norm T and an 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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