• 한국지능시스템학회논문지
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• 제12권3호
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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.

• 충청수학회지
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• 제27권4호
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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.

• 대한수학회보
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• 제39권4호
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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.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
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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.

• 충청수학회지
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• 제26권4호
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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.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제14권1호
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• pp.49-56
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• 2014

In this paper, we introduce intuitionistic smooth bitopological spaces and the notions of intuitionistic fuzzy semiinterior and semiclosure. Based on these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous mappings are obtained.

• 충청수학회지
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• 제30권4호
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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.