• 제목/요약/키워드: fuzzy regular space

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FUZZY D-CONTINUOUS FUNCTIONS

  • Akdag, Metin
    • 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.

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FUZZY COMPACTNESS, FUZZY REGULARITY VIA FUZZY MAXIMAL OPEN AND FUZZY MINIMAL CLOSED SETS

  • SWAMINATHAN, A.;SIVARAJA, S.
    • Journal of applied mathematics & informatics
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    • 제40권1_2호
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    • pp.185-190
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    • 2022
  • The aim of this article is to define fuzzy maximal open cover and discuss its few properties. we also defined and study fuzzy m-compact space and discussed its properties. Also we obtain few more results on fuzzy minimal c-regular and fuzzy minimal c-normal spaces. We have proved that a fuzzy Haussdorff m-compact space is fuzzy minimal c-normal.

ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK'S SENSE (II)

  • Ramadan, Ahmed Abd El-Kader;Abbas, Salah El-Deen;El-Latif, Ahmed Aref Abd
    • 대한수학회논문집
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    • 제25권3호
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    • pp.457-475
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    • 2010
  • In this paper, we have use a fuzzy bitopological space (X, $\tau_1$, $\tau_2$) to create a family $\tau_{ij}^s$ which is a supra fuzzy topology on X. Also, we introduce and study the concepts of r-($\tau_i$, $\tau_j$)-generalized fuzzy regular closed, r-($\tau_i$, $\tau_j$)-generalized fuzzy strongly semi-closed and r-($\tau_i$, $\tau_j$)-generalized fuzzy regular strongly semi-closed sets in fuzzy bitopological space in the sense of $\check{S}$ostak. Also, these classes of fuzzy subsets are applied for constructing several type of fuzzy closed mapping and some type of fuzzy separation axioms called fuzzy binormal, fuzzy mildly binormal and fuzzy almost pairwise normal.

퍼지 일반화된 위상 공간에서 FUZZY r-GENERALIZED ALMOST CONTINUITY에 관한 연구 (Fuzzy r-Generalized Almost Continuity on Fuzzy Generalized Topological Spaces)

  • 민원근
    • 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.

FIXED POINT THEOREMS FOR ASYMPTOTICALLY REGULAR MAPPINGS IN FUZZY METRIC SPACES

  • Goswami, Nilakshi;Patir, Bijoy
    • Korean Journal of Mathematics
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    • 제27권4호
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    • pp.861-877
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    • 2019
  • The aim of this paper is to extend some existing fixed point results for asymptotically regular mappings to fuzzy metric spaces. For this purpose some contractive type conditions with respect to an altering distance function are used. Some new common fixed point results have been derived for such mappings. We provide suitable examples to justify our study.

네트워크 분석 기법을 이용한 운동처방 관리시스템 설계 및 구현 (A Design of Prescription management System using Network Analysis Technique)

  • 김경훈;송영재
    • 한국콘텐츠학회논문지
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    • 제11권12호
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    • pp.112-121
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    • 2011
  • 운동이 신체적, 정신적 건강에 긍정적인 영향을 미친다는 것은 수많은 연구를 통해 일반적인 상식이 되었다. 그리고 규칙적인 운동은 체지방 감소와 혈중지질을 감소시켜 비만을 조절하며, 궁극적으로 인간의 삶의 질을 향상시킨다고 보고되어 있다. 본 연구에서는 선행연구를 통해 수영운동치료 관리를 위한 지표들을 도출하였으며, Fuzzy ANP(Analytic Network Process) 기법을 이용하여 지표들간의 상관관계를 모델링하여 가중치를 측정하였다. 측정된 결과를 가지고, 공간 제약 없이 개인별 맞춤 운동처방을 실시간으로 알려주도록 설계 하였다. 그리고 휴대폰, 스마트폰, 노트북 등 모바일 장치를 통해 실시간으로 질환자별 맞춤 관리가 이루어질 수 있도록 환자관리시스템을 구현하고자 한다.

On triple sequence space of Bernstein-Stancu operator of rough Iλ-statistical convergence of weighted g (A)

  • Esi, A.;Subramanian, N.;Esi, Ayten
    • Annals of Fuzzy Mathematics and Informatics
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    • 제16권3호
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    • pp.337-361
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    • 2018
  • We introduce and study some basic properties of rough $I_{\lambda}$-statistical convergent of weight g (A), where $g:{\mathbb{N}}^3{\rightarrow}[0,\;{\infty})$ is a function statisying $g(m,\;n,\;k){\rightarrow}{\infty}$ and $g(m,\;n,\;k){\not{\rightarrow}}0$ as $m,\;n,\;k{\rightarrow}{\infty}$ and A represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight g (A) limits of a triple sequence of Bernstein-Stancu polynomials.