Title of article :
M-FUZZIFYING MATROIDS INDUCED BY M-FUZZIFYING CLOSURE OPERATORS
Author/Authors :
Xin, Xiu Department of Mathematics - Tianjin University of Technology, Tianjin, P.R.China , Yang, Shao-Jun School of Mathematics and Statistics - Beijing Institute of Tech - nology , Beijing , P.R.China and Beijing Key Laboratory on MCAACI - Beijing Institute of Technology - Beijing , P.R.China
Abstract :
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.
Keywords :
M$-fuzzifying matroids , $M$-fuzzifying closure operators , $M$-fuzzifying exchange law
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
