• 제목/요약/키워드: fuzzy topology

검색결과 115건 처리시간 0.02초

INTUITIONISTIC FUZZY RETRACTS

  • Hanafy, I.M.;Mahmoud, F.S.;Khalaf, M.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권1호
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    • pp.40-45
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    • 2005
  • The concept of a intuitionistic fuzzy topology (IFT) was introduced by Coker 1997. The concept of a fuzzy retract was introduced by Rodabaugh in 1981. The aim of this paper is to introduce a new concepts of fuzzy continuity and fuzzy retracts in an intuitionistic fuzzy topological spaces and establish some of their properties. Also, the relations between these new concepts are discussed.

R-fuzzy F-closed Spaces

  • Zahran A. M.;Abd-Allah M. Azab;El-Rahman A. G. Abd
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권3호
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    • pp.255-263
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    • 2006
  • In this paper, we introduce the concepts of ${\gamma}$-fuzzy feebly open and ${\gamma}$-fuzzy feebly closed sets in Sostak's fuzzy topological spaces and by using them, we explain the notions of ${\gamma}$-fuzzy F-closed spaces. Also, we give some characterization of ${\gamma}$-fuzzy F-closedness in terms of fuzzy filterbasis and ${\gamma}$-fuzzy feebly-${\theta}$-cluster points.

Fuzzy Almost Strongly (r, s)-Semicontinuous Mappings

  • Lee, Seok-Jong;Kim, Jin-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제12권2호
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    • pp.149-153
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    • 2012
  • In this paper, we introduce the concept of fuzzy almost strongly (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense. The relationships among fuzzy strongly (r, s)-semicontinuous, fuzzy almost (r, s)-continuous, fuzzy almost (r, s)-semicontinuous, and fuzzy almost strongly (r, s)-semicontinuous mappings are discussed. The characterization for the fuzzy almost strongly (r, s)-semicontinuous mappings is obtained.

HESITANT FUZZY PARAOPEN AND HESITANT FUZZY MEAN OPEN SETS

  • SWAMINATHAN, A.;SIVARAJA, S.
    • Journal of Applied and Pure Mathematics
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    • 제4권3_4호
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    • pp.141-150
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    • 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.

INTUITIONISTIC FUZZY SEMI-PREOPEN SETS AND INTUITIONISTIC FUZZY SEMI-PRECONTINUOUS MAPPINGS

  • JUN YOUNG BAE;SONG SEOK-ZUN
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.467-474
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    • 2005
  • Using the notion of intuitionistic fuzzy sets, the concept of intuitionis tic fuzzy semi-preopen sets and intuitionistic fuzzy semi-pre-continuous mappings are introduced. The relation between an intuitionistic fuzzy precontinuous ma pping and an intuitionistic semi-precontinuous mapping is given. Characterizations of intuitionistic fuzzy semi-preopen sets and intuitionist ic fuzzy semi-precontinuous mappings are given.

FUZZY NEARLY C-COMPACTNESS IN GENERALIZED FUZZY TOPOLOGY

  • Palanichetty, G.;Balasubramanian, G.
    • East Asian mathematical journal
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    • 제23권2호
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    • pp.213-227
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    • 2007
  • In this paper the concept of fuzzy nearly C-compactness is introduced in Generalized fuzzy topological spaces. Several characterizations and some interesting properties of these spaces in Generalized fuzzy topological spaces are discussed. The properties of fuzzy almost continuous and fuzzy almost open functions in Generalized fuzzy topological spaces are also studied.

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CONTINUITY OF FUZZY PROPER FUNCTIONS ON SOSTAK'S I-FUZZY TOPOLOGICAL SPACES

  • Roopkumar, Rajakumar;Kalaivani, Chandran
    • 대한수학회논문집
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    • 제26권2호
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    • pp.305-320
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    • 2011
  • The relations among various types of continuity of fuzzy proper function on a fuzzy set and at fuzzy point belonging to the fuzzy set in the context of $\v{S}$ostak's I-fuzzy topological spaces are discussed. The projection maps are defined as fuzzy proper functions and their properties are proved.

FUZZY INTERIOR SPACES

  • Ramadan, A.A.;Abdel-Sattar, M.A.;Kim, Yong-Chan
    • 대한수학회보
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    • 제39권4호
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    • pp.617-633
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    • 2002
  • In this paper, we study some properties of fuzzy interior spaces. Also, we investigate the relations between fuzzy interior spaces and fuzzy topological spaces. In particular, we prove the existence of product fuzzy topological spaces and product fuzzy interior spaces. We investigate the relations between them.

퍼지규칙을 이용한 신경회로망의 자동 구성 (The Automatic Topology Construction of The Neural Network using the Fuzzy Rule)

  • 이현관;이정훈;엄기환
    • 한국정보통신학회논문지
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    • 제5권4호
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    • pp.766-776
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    • 2001
  • 다층 신경회로망의 모델의 구성은 적용분야에 따라서 임의로 선택되어지고, 최적의 모델 구 성은 긴 시간에 걸친 시행착오를 통하여 결정된다. 본 논문에서는 다층 신경회로망 모델의 은닉층 뉴런 수를 학습 과정에서 퍼지 규칙을 이용하여 최적화하는 방식을 제안하였다. 임의의 패턴 문제와 도립진자의 멥핑에 적용하여 제안한 알고리즘의 유용성을 비교 검토하였다.

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