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Application of fuzzy sets and fuzzy soft sets in hypermodules. (English) Zbl 1279.16039

Summary: We apply fuzzy soft sets and fuzzy sets to algebraic hyperstructures to define soft hypermodules and fuzzy soft hypermodules. We proceed to study their structural properties under operations such as union, intersection and “AND”. Also, some of results about the level soft sets of fuzzy soft hypermodules are investigated. Finally, the theorems of homomorphic image and homomorphic pre-image of fuzzy soft hypermodules are discussed.

MSC:

16Y99 Generalizations
20N20 Hypergroups
08A72 Fuzzy algebraic structures
20N25 Fuzzy groups
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