Categories of bi-fuzzy pre-matroids

✍ Scribed by Xiu Xin; Fu-Gui Shi

• Book ID: 104008774
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 794 KB
• Volume: 59
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2010.01.004

✦ Synopsis

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.