• East Asian mathematical journal
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• 제17권1호
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• pp.1-17
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• 2001

In this paper, fuzzy D-continuous function is defined. Some basic properties of this continuity are summarized; and sufficient conditions on domain and/or ranges implying fuzzy D-continuity of fuzzy D-continuous functions are given. Also fuzzy D-regular space is defined and by using fuzzy D-continuity, the condition which is equivalent to fuzzy D-regular space, is given.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제1권1호
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• pp.69-74
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• 2001

We introduce fuzzy semi-regular spaces. Furthermore, we investigate the relations among fuzzy super continuity, fuzzy $\delta$-continuity and fuzzy almost continuity in fuzzy topological spaces in view of the definition of Sostak. We study some properties between them.

• 대한수학회보
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• 제22권1호
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• pp.17-22
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• 1985

B.M. Munshi and D.S. Bassan defined and developed the concept of super continuity in [5]. The concept has been investigated further by I. L. Reilly and M. K. Vamanamurthy in [6] where super continuity is characterized in terms of the semi-regularization topology. Super continuity is related to the concepts of .delta.-continuity and strong .theta.-continuity developed by T. Noiri in [7]. The purpose of this note is to derive relationships between super continuity and other strong continuity conditions and to develop additional properties of super continuous functions. Super continuity implies continuity, but the converse implication is false [5]. Super continuity is strictly between strong .theta.-continuity and .delta.-continuity and strictly between complete continuity and .delta.-continuity. The symbols X and Y will denote topological spaces with no separation axioms assumed unless explicity stated. The closure and interior of a subset U of a space X will be denoted by Cl(U) and Int(U) respectively and U is said to be regular open (resp. regular closed) if U=Int[Cl(U) (resp. U=Cl(Int(U)]. If necessary, a subscript will be added to denote the space in which the closure or interior is taken.

• 한국지능시스템학회논문지
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• 제20권2호
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• pp.257-261
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• 2010

본 논문에서는 fuzzy r-generalized almost continuity의 개념과 특성을 연구한다. 특히 fuzzy r-generalized regular open sets를 이용하여 fuzzy r-generalized almost continuity의 특성을 밝힌다.

• 충청수학회지
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• 제25권3호
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• pp.401-413
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• 2012

In the present paper we construct and introduce a new topology from an old one which are independent each of the other. The members of this topology are called ${\omega}_{\delta}$-open sets. We investigate some basic properties and their relationships with some other types of sets. Furthermore, a new characterization of regular and semi-regular spaces are obtained. Also, we introduce and study some new types of continuity, and we obtain decompositions of some types of continuity.

• 아동학회지
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• 제34권6호
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• pp.159-175
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• 2013

The purpose of this study was to explore how the number of network organizations, network continuity and service continuity of community child centers were affected by the charge factors, organizational factors and environmental factors of community child centers. To better understand this, we researched 107 community child centers in Chonbuk Province. The key results are as follows. The interpersonal connections of the charge factors had a strong effect on the number of network organizations, but organizational factors and environmental factors appeared to have no effect on the number of network organizations. The operational type(religious group), organizational support level of the organizational factors and public-private cooperation, regular consultative group operation(no) of the environmental factors appeared to have an effect on the level of network continuity. The region(local), regular consultative group operation(yes) and public-private cooperation of the environmental factors appeared to have an effect on the level of service continuity. It was hoped that the results would enable us to explore how factors related to a network had an effect on the service continuity, the number of network organizations and clients referral network continuity, and they appeared to have an effect on the service continuity.

• 호남수학학술지
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• 제33권1호
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• pp.85-91
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• 2011

We introduce and investigate the notions of super (g,g')-continuous functions and strongly $\theta$(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (${\delta},{\delta}'$)-continuity.

• 대한수학회보
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• 제39권3호
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• pp.441-453
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• 2002

We introduce the concepts of fuzzy r-regular open sets and fuzzy almost r-continuous maps in the fuzzy topology of Chat-topadhyay. Also we investigate the equivalent conditions of the fuzzy almost r-continuity.

• 대한수학회논문집
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• 제27권4호
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• pp.809-813
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• 2012

We introduce the notion of R($g$, $g^{\prime}$)-continuity on generalized topological spaces, which is a strong form of ($g$, $g^{\prime}$)-continuity. We investigate some properties and relationships among R($g$, $g^{\prime}$)-continuity, ($g$, $g^{\prime}$)-continuity and some strong forms of ($g$, $g^{\prime}$)-continuity.

• East Asian mathematical journal
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• 제16권1호
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• pp.125-133
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• 2000

Weak forms of regular continuity and regular closure are introduced and used to strengthen some results concerning the preservation of rg-closed sets.