Abstract
In this paper, the concept of ( L , M ) -fuzzy weak mappings is introduced as a generalization of weak mappings. Matroids and weak mappings form a category which is denoted by M . Fuzzifying matroids and fuzzifying weak mappings form a category which is denoted by FYM . [ 0 , 1 ] -pre-matroids and [ 0 , 1 ] -weak mappings form a category which is denoted by IM . Bi-fuzzy pre-matroids and bi-fuzzy weak mappings form a category which is denoted by IIFM . We study the relations among M , FYM , IM and IIFM .
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