• International Journal of Fuzzy Logic and Intelligent Systems
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• v.10 no.4
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• pp.296-302
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• 2010

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies) introduced by Ying [16, (I)]. It investigates topological notions defined by means of regular open sets when these are planted into the frame-work of Ying's fuzzifying topological spaces (in ${\L}$ukasiewwicz fuzzy logic). The concept of fuzzifying nearly compact spaces is introduced and some of its properties are obtained. We use the finite intersection property to give a characterization of fuzzifying nearly compact spaces. Furthermore, we study the image of fuzzifying nearly compact spaces under fuzzifying completely continuous functions, fuzzifying almost continuity and fuzzifying R-map.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.4
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• pp.281-284
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• 2009

In [8], we introduced the concept of fuzzy r-minimal structure which is an extension of smooth fuzzy topological spaces and fuzzy topological spaces in Chang's sense. And we also introduced and studied the fuzzy r-M continuity. In this paper, we introduce the concepts of fuzzy r-minimal compactness on fuzzy r-minimal compactness and nearly fuzzy r-minimal compactness, almost fuzzy r-minimal spaces and investigate the relationships between fuzzy r-M continuous mappings and such types of fuzzy r-minimal compactness.

• Kyungpook Mathematical Journal
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• v.53 no.1
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• pp.125-133
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• 2013

In this paper, we introduce the notion of near pairwise compactness which generalizes the notion of pairwise compactness.

• Journal of the Korean Mathematical Society
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• v.15 no.1
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• pp.25-27
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• 1978

• Kyungpook Mathematical Journal
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• v.17 no.1
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• pp.37-41
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• 1977

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.2
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• pp.133-136
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• 2009

In this paper, we introduce the concept of IVF weakly $m^*$-continuous mappings on between IVF minimal spaces and investigate some characterizations for such mappings. Also we study the relationships IVF weakly $m^*$-continuous mappings and IVF M-compactness.

• The Mathematical Education
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• v.14 no.1
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• pp.6-8
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• 1975

• Honam Mathematical Journal
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• v.31 no.4
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• pp.497-504
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• 2009

We introduce the concepts of M-preclosed graph and M$^*$-preopen mapping on spaces with minimal structures and investigate some properties of M$^*$-preopen mapping. We also investigate the relationships between M-precontinuous mappings and several types of m-compactness.

• Kyungpook Mathematical Journal
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• v.27 no.2
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• pp.127-134
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• 1987

The purpose of this paper is to introduce a topological space named an F-closed space. This space is properly contained between an S-closed space [17] and a quasi H-closed space [14], and between a nearly compact space [15] and a quasi H-closed space. We will investigate properties of F-closed spaces, and improve some results in [2], [7] and [17].

• Honam Mathematical Journal
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• v.30 no.3
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• pp.557-566
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• 2008

In this paper, we introduce the concept of IVF weakly continuity and investigate some characterizations for IVF weakly continuous mappings on the interval-valued fuzzy topological spaces. We introduce and study the concepts of almost IVF compactness and nearly IVF compactness.