• Journal of Applied and Pure Mathematics
• /
• 제4권3_4호
• /
• pp.141-150
• /
• 2022

The aim of this article is to introduce hesitant fuzzy paraopen and hesitant fuzzy mean open sets in hesitant fuzzy topological spaces. Moreover we investigate and extend some properties of hesitant fuzzy mean open with hesitant fuzzy paraopen, hesitant fuzzy minmimal open and maximal open sets in hesitant fuzzy topological spaces.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
• /
• pp.378-383
• /
• 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.

• Journal of applied mathematics & informatics
• /
• 제41권3호
• /
• pp.525-540
• /
• 2023

In this paper, we introduce the concept of fuzzy nano M open and fuzzy nano M closed mappings in fuzzy nano topological spaces. Also, we study about fuzzy nano M Homeomorphism, almost fuzzy nano M totally mappings, almost fuzzy nano M totally continuous mappings and super fuzzy nano M clopen continuous functions and their properties in fuzzy nano topological spaces. By using these mappings, we can able to extended the relation between normal spaces and regular spaces in fuzzy nano topological spaces.

• 교육녹색환경연구
• /
• 제9권1호
• /
• pp.11-22
• /
• 2010

Recently, the necessity of open spaces is increased greatly in the city. But in many reasons, open spaces are diminishing gradually in the existing cities. It is more difficult to keep that space because of expensive land price, and the interests between the neighbors. To solve this problem, the local governments tries to change the street system more convenient to the pedestrian by adapting no vechile street system during some specific time. In this point of view, the street which include fence of school, house, and apartment can be the open space. Especially, removal of the school fence can be a useful solution providing open spaces to small cities suffering from lack of open spaces. In this researching background, several schools in Wonju were selected in this research, some has already been opened, and others yet. Opinions of students, presidents of these schools, and citizens are surveyed about removal of fence. In the basis of this result, we deduce problems followed by removing the fence, and reflect it in the plan of opening the fence to present the guidance to cross over the functional limitation of the fence and use it as a open space.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
• /
• pp.225-230
• /
• 1998

In this paper, we introduce the concepts of intuitionistic fuzzy points and intuitionistic fuzzy neighborhoods. We investigate properties of continuous, open and closed maps in the intuitionistic fuzzy topological spaces, and show that the category of Chang's fuzzy topological spaces is a bireflective full subcategory of that of intuitionistic fuzzy topogical spaces.

• 대한수학회보
• /
• 제53권5호
• /
• pp.1363-1371
• /
• 2016

This paper is concerned with best proximity points for multimaps in normed spaces and in hyperconvex metric spaces. Using the generalized KKM theorem, we deduce new best proximity pair theorems for a family of multimaps with unionly open fibers in normed spaces. And we prove a new best proximity point theorem for quasi-lower semicontinuous multimaps in hyperconvex metric spaces.

• 한국지능시스템학회논문지
• /
• 제19권5호
• /
• pp.725-729
• /
• 2009

intuitionistic fuzzy generalized topological space와 intuitionistic gradation of generalized openness의 개념을 소개한다. 한편 IFG-mapping, weak IFG-mapping과 IFG-open mapping의 개념을 소개하며 특성을 조사한다.

• 대한수학회논문집
• /
• 제32권1호
• /
• pp.175-181
• /
• 2017

In this paper, we introduce a notion of cleanly covered topological spaces along with two strong separation axioms. Some properties of cleanly covered topological spaces are obtained in term of maximal open sets including some similar properties of a topological space in term of maximal closed sets. Two strong separation axioms are also investigated in terms of minimal open and maximal closed sets.

• 한국조경학회지
• /
• 제37권5호
• /
• pp.53-63
• /
• 2009

본 연구는 공원녹지체계를 광의의 개념으로서 오픈스페이스적으로 접근하는 것이라고 설정하고, 그 방법론을 모색하고 실증적으로 대전광역시 도심지역에 적용하였으며, 그 적용 결과에 기초하여 대전광역시 오픈스페이스 네트워크 구축방안을 제시하였다. 연구방법으로 첫째, 대전광역시 구도심을 대상으로 오픈스페이스 네트워크의 적용 가능성을 검토하며, 둘째, 사례지역의 결과를 토대로 대전광역시의 오픈스페이스 유형별 네트워크를 분석하고, 이를 종합함으로써 대전광역시 오픈스페이스네트워크를 구상토록 하였다. 연구결과로서, 활동오픈스페이스 요소인 관공서 및 업무시설들은 자체적으로 또는 건물 전면부에 공개공지가 조성되어 있고, 이들 전면부 공개공지는 보행로(그레이 오픈스페이스)와 연결되어 있으며, 이들 보행로는 결과적으로 대규모 공원이나 하천(그린 및 블루 오픈스페이스)으로 연결되어, 통합하여 하나의 공간체계를 형성한다고 할 수 있다. 따라서 도시 중심부에는 그동안 공원녹지체계의 기본적 요소라고 할 수 있는 공원과 녹지가 상대적으로 적기 때문에, 공원녹지의 추가적 확보가 이루어져야 공원녹지체계의 개선이 진행된다고 볼 수 있다. 도심부에 새로운 공원녹지의 신규조성은 매우 어렵다는 전제하에 도심부에 마치 실핏줄처럼 분포하고 있는 오픈스페이스 네트워크체계로 접근할 경우, 도심부에 보다 건강한 휴식공간체계가 형성될 것이다.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제10권4호
• /
• pp.296-302
• /
• 2010

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies) introduced by Ying [16, (I)]. It investigates topological notions defined by means of regular open sets when these are planted into the frame-work of Ying's fuzzifying topological spaces (in ${\L}$ukasiewwicz fuzzy logic). The concept of fuzzifying nearly compact spaces is introduced and some of its properties are obtained. We use the finite intersection property to give a characterization of fuzzifying nearly compact spaces. Furthermore, we study the image of fuzzifying nearly compact spaces under fuzzifying completely continuous functions, fuzzifying almost continuity and fuzzifying R-map.