• 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.

• 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.

• 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.

• 충청수학회지
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• 제35권3호
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• pp.243-254
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• 2022

In this paper, we introduce three different concepts of closed sets on the intuitionistic fuzzy topological spaces, i.e., the generalized fuzzy (r, s)-closed, semi-generalized fuzzy (r, s)-closed, and generalized fuzzy (r, s)-semiclosed sets on intuitionistic fuzzy topological spaces in Šostak's sense. Also we investigate their properties and the relationships among these generalized fuzzy closed sets.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제7권2호
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• pp.120-126
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• 2007

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

• 한국지능시스템학회:학술대회논문집
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• 한국지능시스템학회 2007년도 추계학술대회 학술발표 논문집
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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.

• 한국지능시스템학회논문지
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• 제18권3호
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• pp.406-411
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• 2008

In this paper, we introduce the concept of fuzzy (r, s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The concepts of fuzzy (r, s)-pre-semineighborhood and fuzzy (r, s)-quasi-pre-semineighborhood are given. The characterizations for the fuzzy (r, s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r, s)-pre-semiopen and fuzzy (r, s)-pre-semiclosed mappings, and then we investigate some of their characteristic properties.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제14권3호
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• pp.216-221
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• 2014

In this paper, we introduce the concept of generalized double fuzzy semi-basically disconnected space and related notions such as (r, s)-generalized fuzzy semiopen-$F_{\sigma}$ sets, (r, s)-generalized fuzzy semiclosed-$G_{\delta}$ sets, generalized double fuzzy $semi^*$-open function, generalized double fuzzy $semi^*$-continuous function and generalized double fuzzy $semi^*$-irresolute function. Some interesting properties and characterizations of the concepts introduced are studied.

• 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.

• 한국지능시스템학회논문지
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• 제19권2호
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• pp.254-258
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• 2009

fuzzy stromgly (r,s)-irresolute 함수, fuzzy strongly (r,s)-irresolute 반열린 함수의 개념을 소개하며 특성들을 조사한다.