Application of fuzzy sets and fuzzy soft sets in hypermodules

作者：Ameri R^*; Norouzi M; Hedayati H

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2013, 107(2): 327-338.

DOI：10.1007/s13398-012-0075-5

• Fuzzy soft set
• Fuzzy sub-hypermodule
• Soft hypermodule
• Fuzzy soft hypermodule

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.

• 出版日期2013-9