Some properties of L-fuzzy approximation spaces based on bounded integral residuated lattices

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• 作者：Zhudeng Wang^a ; ^{zhudengwang2004@163.com" class="auth_mail} ; Yuan Wang^b ; Keming Tang^b
• 关键词：Residuated lattice ; L-fuzzy topology ; L-fuzzy approximation space ; Left (right) lower L-fuzzy approximation operator ; Left (right) upper L-fuzzy approximation operator
• 刊名：Information Sciences
• 出版年：10 September 2014
• 年：2014
• 卷：278
• 期：Complete
• 页码：110-126
• 全文大小：561 K

文摘

In this paper, we present a general framework for the study of L-fuzzy rough sets based on bounded integral residuated lattices. We introduce and discuss the notions of L-fuzzy topological spaces, left (right) lower and left (right) upper L-fuzzy approximation operators based on a complete bounded integral residuated lattice, investigate union, intersection, and composition operations of L-fuzzy approximation spaces, and study some properties of the L-fuzzy topologies generated by these L-fuzzy rough approximation operators and the L-relations induced by an L-fuzzy topology.