• Journal of applied mathematics & informatics
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• v.30 no.5_6
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• pp.1077-1084
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• 2012

We define and characterize a somewhat fuzzy pre-irresolute continuous mapping and a somewhat fuzzy irresolute preopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.12 no.4
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• pp.319-323
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• 2012

We define and characterize a somewhat fuzzy irresolute continuous mapping and a somewhat fuzzy irresolute semiopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.

• East Asian mathematical journal
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• v.26 no.1
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• pp.1-8
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• 2010

In this paper the concepts of somewhat fuzzy almost $\alpha$-irresolute functions and strongly somewhat fuzzy $\beta$-open functions are introduced and studied. Besides giving characterizations of these functions, some interesting properties of these functions are also given.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1995.10b
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• pp.356-359
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• 1995

In this paper, we introduce fuzzy completely pre-irresolute and fuzzy weakly completely preirresolute mappings between fuzzy topological spaces, and study these mappings in relation to some other types of already known mappings.

• Communications of the Korean Mathematical Society
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• v.18 no.2
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• pp.355-366
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• 2003

In this paper, we have some characterizations of fuzzy semi-irresolute and strongly irresolute functions.

• 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.

• 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.

• Journal of applied mathematics & informatics
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• v.9 no.2
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• pp.817-823
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• 2002

This paper gives some characterizations of quasi irresolute functions.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.139-143
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• 2015

In this paper, we prove that (r, s)-semi-irresolute image of the (r, s)-semi-${\theta}$-connected set is also (r, s)-semi-${\theta}$-connected. Moreover, we prove that an (r, s)-semi-irresolute mapping preserves (r; s)-$S^*$-closedness.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.5 no.2
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• pp.164-168
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• 2005

As a generalization of the notions of fuzzy $\alpha-irresolute$, fuzzy preirresolute, fuzzy irresolute and fuzzy $\beta-irresolute$ functions, we introduce the notion of fuzzy $\beta\alpha-continuous$ functions and investigate the relationships between fuzzy $\beta\alpha-continuous$ functions and fuzzy separation axioms.