%0 Journal Article
%T The Properties of Bases of Quasi-Fuzzy Graph Matriods
%A XIA Jun
%A WU De-yin
%A CHEN Juan-juan
%J Journal of Chongqing Normal University
%D 2013
%I Chongqing Normal University
%X In the paper,we mainly study the some important properties of fuzzy bases of quasi-fuzzy graph matriod. With the help of methods of element fuzzy sets,induced matroid sequences,and bases-exchang,we found that if there is the same number of bases among indeced matroids, quasi-fuzzy graph matroids is closed regular matroids.we have also obtained the structure-theorm of bases of quasi-fuzzy graph matroids,there is a set *,that is,for arbitrary base of quasi-fuzzy graph matroids,we can use elementary fuzzy sets to describe it.and the one to one correspondence between bases of quasi-fuzzy graph matroids and bases of indeced matroids sequences; Bases on the paper [3] of References, we have gained the symmetrical exchange-theorem of bases of quasi-fuzzy graph matroid. If -¦¨ is fuzzy bases set of quasi-fuzzy graph matroids,-u1,u2¡Ê¦¨£¬then for arbitrary e¡Êsupp u1£¬there is e¡ä¡Êsupp u2£¬so that u1£Üe¡¬u2e¡ä¡Ê¦¨,u2£Üe¡ä¡¬u1e¡Ê¦¨.This conclusion is better than the exchange-theorem of bases of quasi-fuzzy graph matroid in the Third Referrence.(* Indicates a formula, please see the full text)
%K matroids
%K fuzzy matroids
%K fuzzy bases
%K quasi-fuzzy graph matroid
%K the exchange-theorem of bases
%K the symmetrical exchange-theorem of bases
%U http://journal.cqnu.edu.cn/1302/pdf/130214.pdf