M-FUZZIFYING MATROIDS INDUCED BY M-FUZZIFYING CLOSURE OPERATORS

Authors

  • Shao-Jun Yang 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
  • Xiu Xin Department of Mathematics, Tianjin University of Technology, Tianjin 300384, 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.

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Journal title

volume 14  issue 3

pages  139- 149

publication date 2017-06-29

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