• 대한수학회논문집
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• 제18권2호
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• pp.341-353
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• 2003

As a generalizaton of the concepts of fuzzy strongly semiopen sets and fuzzy strongly semicontinuous maps, we introduce the concepts of fuzzy strongly r-semiopen sets and fuzzy strongly r-semicontinuous maps in fuzzy topology. Also we introduce fuzzy r-semicontinuous and fuzzy r-semiclosure. By these concept, we characterize fuzzy strongly r-semicontinuous, fuzzy strongly r-semiopen and fuzzy strongly r-semiclosed maps.

• 충청수학회지
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• 제32권3호
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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.

• 한국지능시스템학회논문지
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• 제14권2호
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• pp.234-238
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• 2004

We introduce the concepts of fuzzy (r, s)-semiopen sets and fuzzy (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

• Korean Journal of Mathematics
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• 제23권1호
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• pp.73-79
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• 2015

In this paper, we introduce the concepts of fuzzy almost strongly (r, s)-semiopen and semiclosed mappings on intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense, and investigate some of their characteristic properties.

• Korean Journal of Mathematics
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• 제6권1호
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• pp.117-125
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• 1998

In this paper, we investigate some conditions which are equivalent to fuzzy $r$-homeomorphisms and give some characterizing theorems for fuzzy $r$-semicontinuous, $r$-semiopen and $r$-semiclosed maps.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제1권1호
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• pp.62-68
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• 2001

In this paper, we introduce the concepts of fuzzy r-pre-semiopen and r-pre-semiclosed sets. With them we define fuzzy r-pre-semiinterior and r-pre-semiclosure. We also introduce and investigate the properties of a fuzzy r-pre-semicontinuous map, a fuzzy r-pre-semiopen map and a fuzzy r-pre-semiclosed map. These concepts are generalizations of the Bai Shi-Zhongs fuzzy pre-semicontinuity.

• 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.

• 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.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제6권4호
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• pp.299-303
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• 2006

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

• 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.