• International Journal of Fuzzy Logic and Intelligent Systems
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• v.7 no.1
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• pp.49-57
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• 2007

Using the idea of degree of openness and degree of nonopenness, Coker and Demirci [5] defined intuitionistic fuzzy topological spaces in Sostak's sense as a generalization of smooth topological spaces and intuitionistic fuzzy topological spaces. M. N. Mukherjee and S. P. Sinha [10] introduced the concept of fuzzy irresolute maps on Chang's fuzzy topological spaces. In this paper, we introduce the concepts of fuzzy (r,s)-irresolute, fuzzy (r,s)-presemiopen, fuzzy almost (r,s)-open, and fuzzy weakly (r,s)-continuous maps on intuitionistic fuzzy topological spaces in Sostak's sense. Using the notions of fuzzy (r,s)-neighborhoods and fuzzy (r,s)-semineighborhoods of a given intuitionistic fuzzy points, characterizations of fuzzy (r,s)-irresolute maps are displayed. The relations among fuzzy (r,s)-irresolute maps, fuzzy (r,s)-continuous maps, fuzzy almost (r,s)-continuous maps, and fuzzy weakly (r,s)-cotinuous maps are discussed.

• Korean Journal of Mathematics
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• v.18 no.2
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• pp.141-148
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• 2010

We introduce the concept of fuzzy almost r-M continuous function on fuzzy r-minimal structures and investigate characterizations and properties for such a function.

• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.1
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• pp.128-132
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• 2009

In this paper, we introduce the concept of fuzzy S-weakly (r,s)-continuous mapping on an intuitionistic fuzzy topological space in Sostak's sense and investigate some properties of such mappings.

• Journal of applied mathematics & informatics
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• v.28 no.5_6
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• pp.1553-1560
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• 2010

We introduce the concept of fuzzy almost r-M continuous function on fuzzy r-minimal structures, and investigate characterizations and properties for such a function.

• Journal of applied mathematics & informatics
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• v.28 no.3_4
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• pp.993-1001
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• 2010

In this paper, we introduce the concept of fuzzy weakly r-M continuous function on r-minimal structures and investigate characterizations and properties for such functions.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.3
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• pp.228-231
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• 2009

In this paper, we introduce the concept of fuzzy $\alpha$-weakly r-continuous mapping on a fuzzy topological space and investigate some properties of such a mapping and the relationships among fuzzy $\alpha$-weakly r-continuity, fuzzy r-continuity and fuzzy weakly r-continuity.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.1
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• pp.44-48
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• 2011

The purpose of this paper is to introduce and investigate the concept of fuzzy almost r-minimal continuous function between fuzzy minimal spaces and fuzzy topological spaces. Particularly, we investigate characterizations for the fuzzy almost r-minimal continuity by using generalized fuzzy r-open sets.

• Journal of applied mathematics & informatics
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• v.29 no.3_4
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• pp.1059-1066
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• 2011

We introduce the concept of fuzzy S-weakly r-M-continuous functions on fuzzy r-minimal spaces, and investigate some characterizations of such functions and the relations between the continuity and fuzzy r-minimal compactness on fuzzy r-minimal spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.10 no.2
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• pp.124-127
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• 2010

In this paper, we introduce the concepts of fuzzy r-minimal continuous function and fuzzy r-minimal open function between a fuzzy r-minimal space and a fuzzy topological space. We also investigate characterizations and properties for such functions.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.8 no.4
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• pp.312-315
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• 2008

In this paper, we investigate some characterizations for fuzzy weakly (r, s)-continuous mapping on an intuitionistic fuzzy topological space in ${\check{S}}ostak's$ sense.