• 제목/요약/키워드: open map closed map

검색결과 21건 처리시간 0.036초

CATEGORICAL PROPERTIES OF INTUITIONISTIC FUZZY TOPOLIGICAL SPACES

  • Lee, Seok-Jong;Lee, Eun-Pyo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.225-230
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    • 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.

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On Fuzzy M-Sets and Fuzzy M-Continuity

  • Min, Won-Keun;Park, Chun-Kee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권1호
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    • pp.59-63
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    • 2005
  • In this paper, we introduce the concept of fuzzy m-sets induced by a given fuzzy supratopology and investigate general properties of the new class consisted of fuzzy m-sets. We also introduce notions of fuzzy m-continuity, fuzzy m-open(closed) maps and study some properties of them.

NEW KINDS OF OPEN MAPPINGS VIA FUZZY NANO M-OPEN SETS

  • V. KALAIYARASAN;S. TAMILSELVAN;A. PRABHU;C. JOHN SUNDAR
    • Journal of applied mathematics & informatics
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    • 제41권3호
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    • pp.525-540
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    • 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.

A CLASS OF MAPPINGS BETWEEN Rz-SUPERCONTINUOUS FUNCTIONS AND Rδ-SUPERCONTINUOUS FUNCTIONS

  • Prasannan, A.R.;Aggarwal, Jeetendra;Das, A.K.;Biswas, Jayanta
    • 호남수학학술지
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    • 제39권4호
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    • pp.575-590
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    • 2017
  • A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_z$-supercontinuous functions [39] which in turn properly contains the class of $R_{cl}$-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of $R_{\delta}$-supercontinuous functions [24].

S-closed 공간(空間)과 RC 수렴(收斂)에 관하여 (A Note on S-closed Space and RC-convergence.)

  • 한천호
    • 산업기술연구
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    • 제5권
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    • pp.47-49
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    • 1985
  • Semi-open을 기초로 하여 만들어진 S-closed 공간의 일반적인 성질을 살펴보고 S-closed 공간과 (maximum) filterbase와의 관계를 조사하였다. 이를 바탕으로 regular closed된 cover C, regular open set인 족(族) C, rc-accumulation, (maximum) filterbase에서의 관계(關係)를 살펴 보았다. Mapping theory에서 almost-open almost-continuous map f가 almost continuous되는 것을 보였다.

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ON L-FUZZY ALMOST PRECONTINUOUS FUNCTIONS

  • Min, Won-Keun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제3권1호
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    • pp.53-58
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    • 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)

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Co-Pilot Agent for Vehicle/Driver Cooperative and Autonomous Driving

  • Noh, Samyeul;Park, Byungjae;An, Kyounghwan;Koo, Yongbon;Han, Wooyong
    • ETRI Journal
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    • 제37권5호
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    • pp.1032-1043
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    • 2015
  • ETRI's Co-Pilot project is aimed at the development of an automated vehicle that cooperates with a driver and interacts with other vehicles on the road while obeying traffic rules without collisions. This paper presents a core block within the Co-Pilot system; the block is named "Co-Pilot agent" and consists of several main modules, such as road map generation, decision-making, and trajectory generation. The road map generation builds road map data to provide enhanced and detailed map data. The decision-making, designed to serve situation assessment and behavior planning, evaluates a collision risk of traffic situations and determines maneuvers to follow a global path as well as to avoid collisions. The trajectory generation generates a trajectory to achieve the given maneuver by the decision-making module. The system is implemented in an open-source robot operating system to provide a reusable, hardware-independent software platform; it is then tested on a closed road with other vehicles in several scenarios similar to real road environments to verify that it works properly for cooperative driving with a driver and automated driving.

Multichannel Quantum Defect Study of the Perturber's Effect on the Overlapping Resonances in Rydberg Series for the Systems Involving 2 Closed and Many Open Channels

  • Lee, Chun-Woo
    • Bulletin of the Korean Chemical Society
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    • 제31권6호
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    • pp.1669-1680
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    • 2010
  • The phase-shifted version of the multichannel quantum-defect theory (MQDT) was reformulated by disentangling the interloper spectrum from the perturbed dense Rydberg series for a systems involving 2 closed and more than 1 open channel. The theory was applied successfully to Martins and Zimmermann's photoionization spectra of the Rydberg series Cu I $3d^9\;4s(^1D_2)\;nd^2G_{9/2}$ perturbed by the interloper, $3d^9\;4p^2\;^4F_{9/2}$, for which Cohen's 4 channel QDT had failed. The zero surface graphic of the perturbed Fano's asymmetry parameter q of the autoionization spectrum of dense Rydberg series by the interloper was determined by only two parameters for this system. It was used as a map to trace the transformation route of the 3 channel autoionization spectra to the 4 channel spectra when the channel coupling of the closed channels with a newly added open channel was turned on progressively.