Application of fuzzy sets and fuzzy soft sets in hypermodules
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A …, 2013•Springer
In this paper, we apply fuzzy soft sets and fuzzy sets to algebraic hyperstructures to define
soft hypermodules and fuzzy soft hypermodules. We will 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.
soft hypermodules and fuzzy soft hypermodules. We will 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.
Abstract
In this paper, we apply fuzzy soft sets and fuzzy sets to algebraic hyperstructures to define soft hypermodules and fuzzy soft hypermodules. We will 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.
Springer
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