• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.05a
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• pp.265-268
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• 2002

In this paper we introduce the concepts of type-2 fuzzy set-valued mappings and quasi-convex fuzzy mappings on L-L fuzzy numbers and discuss some properties of these mappings.

• Journal of applied mathematics & informatics
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• v.41 no.3
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• pp.525-540
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• 2023

In this paper, we introduce the concept of fuzzy nano M open and fuzzy nano M closed mappings in fuzzy nano topological spaces. Also, we study about fuzzy nano M Homeomorphism, almost fuzzy nano M totally mappings, almost fuzzy nano M totally continuous mappings and super fuzzy nano M clopen continuous functions and their properties in fuzzy nano topological spaces. By using these mappings, we can able to extended the relation between normal spaces and regular spaces in fuzzy nano topological spaces.

• Journal of the Korean Institute of Intelligent Systems
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• v.21 no.2
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• pp.244-249
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• 2011

We introduce the concepts of fuzzy pairwise ${\beta}$-(r, s)-continuous mappings and fuzzy pairwise ${\beta}$-(r, s)-open mappings in smooth bitopological spaces and then we investigate some of their characteristic properties.

• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.3
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• pp.421-424
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• 2009

In this paper, we introduce the concept of fuzzy semi-weakly r-semicontinuous mappings on a fuzzy topological space and study characterizations for such mappings. And we investigate the relationships among fuzzy r-semicontinuity, fuzzy semi-weakly r-semicontinuity and fuzzy weakly r-semicontinuity.

• Korean Journal of Mathematics
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• v.17 no.3
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• pp.249-255
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• 2009

In [5], we introduced the concepts of IVF m-preopen sets and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we introduce the concept of IVF m-preopen mapping and investigate characterizations for IVF mprecontinuous mappings and IVF m-preopen mappings.

• Journal of the Korean Institute of Intelligent Systems
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• v.21 no.1
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• pp.128-131
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• 2011

In this paper, we introduce and study the concept of fuzzy r-$M^*$ preopen mappings between fuzzy r-minimal spaces. We also investigate the relationships among fuzzy r-M precontinuous mappings, fuzzy r-$M^*$-preopen mappings and several types of fuzzy r-minimal compactness.

• Journal of applied mathematics & informatics
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• v.34 no.5_6
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• pp.519-526
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• 2016

The concept of somewhat pairwise fuzzy pre-irresolute continuous mapping and somewhat pairwise fuzzy irresolute preopen mappings have been introduced and studied. Besides, some interesting properties of those mappings are given.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2007.11a
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• pp.191-194
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• 2007

In this paper, we introduce the concepts of fuzzy (r,s)-pre-semiopen sets and fuzzy (r,s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in ${\v{S}}ostak's$ sense. The concepts of fuzzy (r,s)-pre-semiinterior, fuzzy (r,s)-pre-semiclosure, fuzzy (r,s)-pre-semineighborhood, and fuzzy (r,s)-quasi-pre-semineighborhood are given, and several properties of these concepts are discussed. Using these concepts, the characterizations for the fuzzy (r,s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r,s)-presemiopen and fuzzy (r,s)-pre-semiclosed mappings on intuitionistic fuzzy topologica spaces in ${\v{S}}ostak's$ sense, and then we investigate some of their characteristic properties.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.467-474
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• 2005

Using the notion of intuitionistic fuzzy sets, the concept of intuitionis tic fuzzy semi-preopen sets and intuitionistic fuzzy semi-pre-continuous mappings are introduced. The relation between an intuitionistic fuzzy precontinuous ma pping and an intuitionistic semi-precontinuous mapping is given. Characterizations of intuitionistic fuzzy semi-preopen sets and intuitionist ic fuzzy semi-precontinuous mappings are given.

• East Asian mathematical journal
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• v.32 no.5
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• pp.685-700
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• 2016

The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings ${\alpha},{\alpha}^{\prime}:{\Omega}{\rightarrow}(0,1)$, an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value $x_0(t)$ and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.