• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.4
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• pp.254-258
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• 2011

In this paper, we introduce the notion of fuzzy (r, s)-S1-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense, which is a generalization of $S_1$-pre-semicontinuous mappings by Shi-Zhong Bai. The relationship between fuzzy (r, s)-pre-semicontinuous mapping and fuzzy (r, s)-$S_1$-pre-semicontinuous mapping is discussed. The characterizations for the fuzzy (r, s)-$S_1$-pre-semicontinuous mappings are obtained.

• Korean Journal of Mathematics
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• v.17 no.3
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• pp.257-270
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• 2009

In this paper we introduce the Henstock integral of fuzzy mappings in Banach spaces as a generalization of the Henstock integral of set-valued mappings and investigate some properties of it.

• Honam Mathematical Journal
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• v.31 no.1
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• pp.87-95
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• 2009

In this paper, we introduce the concepts of IVF ${\alpha}$-irresolute mappings and IVF ${\alpha}$-irresolute open mappings and investigate some characterizations for them on the interval-valued fuzzy topological spaces.

• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.4
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• pp.550-556
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• 2007

In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous mappings we discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous mapping is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense, and then we investigate some of their characteristic properties.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.5 no.2
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• pp.136-139
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• 2005

In this paper, we introduce the concepts of fuzzy (r,s)-preopen sets and fuzzy (r,s)-precontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.3
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• pp.224-227
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• 2009

In this paper, we introduce the concept of fuzzy S-weakly r-continuous mapping on an fuzzy topological space and investigate some properties of such mappings.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2001.12a
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• pp.361-364
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• 2001

The aim of this paper is to continue the study of fuzzy quasi-continuous mappings due to Park et at. (12) on fuzzy bitopological spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.3
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• pp.153-164
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• 2011

Equivalence relations and mappings for crisp sets are very well known. This paper attempts an investigation of equivalence relations and mappings for fuzzy sets. We list some concepts and results related to fuzzy relations. We give some examples corresponding to the concept of fuzzy equality and fuzzy mapping introduced by Demirci [1]. In addition, we introduce the notion of preimage and quotient of fuzzy equivalence relations. Finally, we investigate relations between a fuzzy equivalence relation and a fuzzy mapping.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.1
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• pp.39-48
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• 2000

In this paper we define T-fuzzy integrals of set-valued mappings, which are extensions of fuzzy integrals of the single-valued functions defined by Sugeno. And we discuss their properties.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.1 no.1
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• pp.50-55
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• 2001

We generalize mainly the concept of c-continuity of a mapping due to Gentry and Hoyle III in fuzzy setting. And we investigate some properties of fuzzy c-continuous mappings.