M-FUZZIFYING MATROIDS INDUCED BY M-FUZZIFYING CLOSURE OPERATORS

نویسندگان
Xin, Xiu ID 1
Yang, Shao-Jun ID 2

1 Department of Mathematics, Tianjin University of Technology, Tianjin 300384, P.R.China

2 School of Mathematics and Statistics, Beijing Institute of Tech- nology, Beijing 100081, P.R.China and Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 100081, P.R.China

doi
10.22111/ijfs.2017.3260
چکیده

In this paper, the notion of closure operators of matroids  is generalized to fuzzy setting  which is called $M$-fuzzifying closure operators, and some properties of $M$-fuzzifying closure operators are discussed. The $M$-fuzzifying matroid induced by an $M$-fuzzifying closure operator can induce an $M$-fuzzifying closure operator. Finally, the characterizations of $M$-fuzzifying acyclic matroids are given.

کلیدواژه‌ها
M$-fuzzifying matroids, $M$-fuzzifying closure operators, $M$-fuzzifying exchange law