Fuzzy bases of fuzzy independent set systems

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• 作者：Xiaonan Li^a ; ^{lxn2007@163.com} ; Huangjian Yi^b
• 关键词：Fuzzy independent set system ; G&ndash ; V fuzzy matroid ; H fuzzy matroid ; Fuzzy base ; Polymatroid
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：99-111
• 全文大小：376 K
• 卷排序：311

文摘

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 and 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.