• Journal of the Chungcheong Mathematical Society
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• v.32 no.3
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• pp.309-318
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• 2019

We introduce the concepts of double pairwise strongly (r, s)(u, v)-semiopen mappings and double pairwise strongly (r, s)(u, v)-semiclosed mappings, and investigate some of their characteristic properties.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.2
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• pp.367-374
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• 2016

In this paper, we introduce intuitionistic fuzzy pairwise semiopen and semiclosed mappings in intuitionistic smooth bitopological spaces, and obtain the characterizations for the mappings.

• Bulletin of the Korean Mathematical Society
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• v.39 no.4
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• pp.653-663
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• 2002

We introduce and investigate the concepts of ($(T_i,T_j)$-fuzzy $\alpha-(r.s)$-semiopen $\alpha-(r.s)$-semiclosed) sets and fuzzy pairwise $\alpha-(r.s)$-semicontinuous mappings in smooth bitopological spaces.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.4
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• pp.691-702
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• 2013

We introduce the concepts of double bitopological spaces as a generalization of intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense and Kandil's fuzzy bitopological spaces. Also we introduce the concept of (${\tau}^{{\mu}{\gamma}}$, $U^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiopen sets and double pairwise (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.

• Journal of the Chungcheong Mathematical Society
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• v.30 no.4
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• pp.423-433
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• 2017

We introduce the concepts of double strongly (r, s)(u, v)-semiopen sets, double strongly (r, s)(u, v)-semiclosed sets and double pairwise strongly (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.

• Journal of the Korean Institute of Intelligent Systems
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• v.12 no.3
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• pp.269-274
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• 2002

We introduce (${\tau}_i$, ${\tau}_j$) fuzzy (r,s)-semiclosures and (${\tau}_i$, ${\tau}_j$)-fuzzy (r,s)-semiinteriors. Using the notions, we investigate some of characteristic properties of fuzzy pairwise (r,s)-semicontinuous, fuzzy pairwise (r,s)-semiopen and fuzzy pairwise (r,s)-semiclosed mappings.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.603-614
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• 2014

We introduce the concepts of ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s) (u, v)-semiclosures and ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiinteriors. Using the notions, we investigate some of characteristic properties of double pairwise (r, s)(u, v)-semicontinuous, double pairwise (r, s)(u, v)-semiopen and double pairwise (r, s)(u, v)-semiclosed mappings.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.2
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• pp.105-109
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• 2009

In this paper, we introduce the concepts of fuzzy pairwise (r, s)-irresolute, fuzzy pairwise (r, s)-presemiopen and fuzzy pairwise (r, s)-presemiclosed mappings in smooth bitopological spaces and then we investigate some of their characteristic properties.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1995.10b
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• pp.378-383
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• 1995

Kandil[5] introduced and studied the notion of fuzzy bitopological spaces as a natural generalization of fuzzy topological In [10], Sampath Kumar introduced and studied the concepts of ( i, j)-fuzzy semiopen sets, fuzzy pairwise semicontinuous mappings in the fuzzy bitopological spaces. Also, he defined the concepts of ( i, j)-fuzzy -open sets, ( i, j)-fuzzy preopen sets, fuzzy pairwise -continuous mappings and fuzzy pairwise precontinuous mappings in the fuzzy bitopological spaces and studied some of their basic properties. In this paper, we generalize the concepts of fuzzy -open sets, fuzzy -continous mappings ？ 새 Mashhour, Ghanim and Fata Alla[6] into fuzzy bitopological spaces, We first define the concepts of ( i, j)-fuzzy -open sets and then consider the generalizations of fuzzy pairwise -continuous mappings is obtained Besides many basic results, results related to products and graph of mapping are obtained in the fuzzy bitopological spaces.