On Weakly Fuzzy Semi-I-open Sets and a Decomposition of Fuzzy Continuity

Bin, Chen; Li, Jinjin

doi:10.1109/isme.2010.53

2010 International Conference of Information Science and Management Engineering 2010

DOI: 10.1109/isme.2010.53

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On Weakly Fuzzy Semi-I-open Sets and a Decomposition of Fuzzy Continuity

Chen Bin

Jinjin Li

Abstract: In this paper, we introduce and study the notion of weakly fuzzy semi-I-open sets and weakly fuzzy semi-I-continuous functions to obtain a decomposition of fuzzy continuity. We also investigate the fundamental properties of such functions.

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2011

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Topological Approaches to the Second Type of Covering-Based Rough Sets

Chen

2011

AMR

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Rough sets, a tool for data mining, deal with the vagueness and granularity in information systems. This paper studies covering-based rough sets from the topological view. We explore the relationship between the relative closure and the second type of covering upper approximation. The major contributions of this paper are that we use the definition of the relative closure and the relative interior to discuss the conditions under which the relative operators satisfy certain classical properties. The theorems we get generalize some of the results in Zhu’s paper.

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Topological Approaches to the Second Type of Covering-Based Rough Sets

Chen

2011

AMR

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scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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On Weakly Fuzzy Semi-I-open Sets and a Decomposition of Fuzzy Continuity

Abstract: In this paper, we introduce and study the notion of weakly fuzzy semi-I-open sets and weakly fuzzy semi-I-continuous functions to obtain a decomposition of fuzzy continuity. We also investigate the fundamental properties of such functions.

Cited by 1 publication

References 21 publications

Topological Approaches to the Second Type of Covering-Based Rough Sets

Topological Approaches to the Second Type of Covering-Based Rough Sets

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