Categories of bi-fuzzy pre-matroids

Authors:
Xiu Xin;Fu-Gui Shi
Affiliations:
Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, PR China;Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 6
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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.