Fuzzy bases of fuzzy independent set systems

被引：14
|
作者：
Li, Xiaonan [1 ]
Yi, Huangjian [2 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
[2] Northwest Univ Xian, Sch Informat & Technol, Xian 710069, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2017年 / 311卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy independent set system; G-V fuzzy matroid; H fuzzy matroid; Fuzzy base; Polymatroid; MATROIDS; AXIOMS;
D O I：
10.1016/j.fss.2016.04.008
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Compactness, closeness and SC are conditions to ensure the existence of fuzzy bases for polymatroids, G-V fuzzy matroids and H fuzzy matroids respectively. In this work, relations of these three conditions with different fuzzy independent systems are studied. Furthermore, the equivalence of compactness, closeness and SC for G-V fuzzy matroids is proved arid the existence of fuzzy bases of H fuzzy matroids is verified. Finally, it has been pointed out that H fuzzy matroids and E fuzzy matroids induced from polymatroids are the same and the question whether an H fuzzy matroid is a fuzzy pre-matroid is solved. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：99 / 111
页数：13
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