M-FUZZIFYING MATROIDS INDUCED BY M-FUZZIFYING CLOSURE OPERATORS
(ندگان)پدیدآورXin, XiuYang, Shao-Jun
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.
کلید واژگانM$-fuzzifying matroids
$M$-fuzzifying closure operators
$M$-fuzzifying exchange law
ناشرUniversity of Sistan and Baluchestan
سازمان پدید آورندهDepartment of Mathematics, Tianjin University of Technology, Tianjin 300384, P.R.China
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
Showing items related by title, author, creator and subject.
Wang, Kai؛ Shi, Fu-Gui (University of Sistan and Baluchestan, 2018-12-01)The main purpose of this paper is to introduce the compatibility of $M$-fuzzifying topologies and $M$-fuzzifying convexities, define an $M$-fuzzifying topological convex space, and give a method to generate an $M$-fuzzifying ...
Xin, Xiu؛ Shi, Fu-Gui؛ Li, Sheng-Gang (University of Sistan and Baluchestan, 2010-06-01)This paper presents characterizations of M-fuzzifying matroids bymeans of two kinds of fuzzy operators, called M-fuzzifying derived operatorsand M-fuzzifying difference derived operators.
Xiu, Zhen-Yu؛ Shi, Fu-Gui (University of Sistan and Baluchestan, 2017-02-01)In this paper, we introduce the notion of $M$-fuzzifying interval spaces, and discuss the relationship between $M$-fuzzifying interval spaces and $M$-fuzzifying convex structures.It is proved that the category ...