M-FUZZIFYING MATROIDS INDUCED BY M-FUZZIFYING CLOSURE OPERATORS

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 $...

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Bibliographic Details
Published in:Iranian journal of fuzzy systems (Online) 2017-06, Vol.14 (3), p.139
Main Authors: Xin, Xiu, Yang, Shao-Jun
Format: Article
Language:English
Subjects:
Fuzzy sets
Online Access:Get full text
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Summary: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.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2017.3260