• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 2007년도 춘계학술대회 학술발표 논문집 제17권 제1호
• /
• pp.179-182
• /
• 2007

In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous maps on intuitionistic fuzzy topological spaces in Sostak's sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous maps are discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous map is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed maps on intuitionistic fuzzy topological spaces in Sostak's sense, and then we investigate some of their characteristic properties.

• 한국지능시스템학회논문지
• /
• 제17권4호
• /
• pp.550-556
• /
• 2007

In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous mappings we discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous mapping is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense, and then we investigate some of their characteristic properties.

• 한국지능시스템학회논문지
• /
• 제20권4호
• /
• pp.569-573
• /
• 2010

fuzzy r-minimal preopen set, fuzzy r-M precontinuous와 fuzzy r-M preopen 함수의 개념을 소개하며 특성들을 조사한다.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제5권2호
• /
• pp.136-139
• /
• 2005

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

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제3권1호
• /
• pp.53-58
• /
• 1996

In 1981, R . Badard introduced the notion of fuzzy pretopological spaces and their representation[1]. And in 1992, R. Badard, et al. introduced the L-fuzzy pretopological spaces and studied properties of continuity, open map, closed map, and homeomorphism in L-fuzzy pretopological spaces. In this paper we introduce and study the concepts of almost continuous functions and weakly pre-continuous functions on L-fpts's.(omitted)

• Korean Journal of Mathematics
• /
• 제25권1호
• /
• pp.1-18
• /
• 2017

In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preclosed sets and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preopen sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized pre-continuous mappings and then investigate some of their properties.

• 한국지능시스템학회논문지
• /
• 제21권1호
• /
• pp.128-131
• /
• 2011

fuzzy r-minimal 공간에서 fuzzy r-$M^*$ preopen 함수의 개념을 소개하며 fuzzy r-M pre-연속 함수, fuzzy r-$M^*$ preopen 함수와 여러 종류의 fuzzy r-minimal 컴팩트성과의 관계에 대하여 조사한다.

• 대한수학회보
• /
• 제36권1호
• /
• pp.91-108
• /
• 1999

In this paper, we introduce the notions of fuzzy ${\gamma}$-peropen (${\gamma}$-perclosed) sets and fuzzy ${\gamma}$-percontinuous (${\gamma}$-peropen, ${\gamma}$-perclosed) maps, and investigate some of their properties.

• 대한수학회논문집
• /
• 제18권3호
• /
• pp.521-532
• /
• 2003

In this paper, we introduce the notions of ($T_{i},\;T_{j}$)-fuzzy (r, s)-preopen sets and fuzzy pairwise (r, s)-precontinuous mappings in smooth bitopological spaces and then we investigate some of their characteristic properties.