• 제목/요약/키워드: fuzzy open set

검색결과 44건 처리시간 0.029초

FUZZY γ-MINIMAL β-OPEN SETS ON FUZZY MINIMAL SPACES

  • Min, Won-Keun;Kim, Myeong-Hwan
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권3호
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    • pp.263-271
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    • 2012
  • We introduce the concept of fuzzy $r$-minimal ${\beta}$-open set on a fuzzy minimal space and basic some properties. We also introduce the concept of fuzzy $r-M$ ${\beta}$-continuous mapping which is a generalization of fuzzy $r-M$ continuous mapping and fuzzy $r-M$ semicontinuous mapping, and investigate characterization for the continuity.

ON SOMEWHAT PAIRWISE FUZZY CONTINUOUS FUNCTIONS

  • Uma, M.K.;Roja, E.;Balasubramanian, G.
    • East Asian mathematical journal
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    • 제23권1호
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    • pp.83-101
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    • 2007
  • In this paper the concept of somewhat pairwise fuzzy continuous functions and somewhat pairwise fuzzy open functions are introduced. Some interesting properties of these functions are investigated besides giving some characterizations of these functions.

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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.

Mated Fuzzy Topological Spaces

  • Lee, Eun-Pyo;Im, Young-Bin
    • 한국지능시스템학회논문지
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    • 제11권2호
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    • pp.161-165
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    • 2001
  • We introduce the concept of mated fuzzy topological spaces and then investigate some of their properties.

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Distributivity of fuzzy numbers under t-norm based fuzzy arithmetic operations

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • 제14권1호
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    • pp.93-101
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    • 2003
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy quantities based on the extension principle suggested by Mare (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous t-norm which holds the distributivity under t-norm based fuzzy arithmetic operations.

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Distributivity of fuzzy numbers

  • Hong, Dug-Hun
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 추계학술대회 및 정기총회
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    • pp.22-24
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    • 2002
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy Quantities based on the extension principle suggested by Mares (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous f-norm which holds the distributivity under f-norm based fuzzy arithmetic operations.

INTERVAL-VALUED FUZZY SEMIOPEN, PREOPEN AND α-OPEN MAPPINGS

  • JUN, YOUNG BAE;KANG, GI CHUL;OZTURK, MEHMET ALI
    • 호남수학학술지
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    • 제28권2호
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    • pp.241-259
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    • 2006
  • Using the concept of interval-valued fuzzy (IVF) sets, the notions of IVF semiopen (semiclosed) sets, IVF preopen (preclosed) sets and IVF $\alpha$-open ($\alpha$-closed) sets are introduced, and interrelations are investigated. Also, the concepts of IVF open mappings, IVF preopen mappings, IVF semiopen mappings and IVF $\alpha$-open mappings are introduced, and interrelations are discussed.

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Fuzzy Applications in a Multi-Machine Power System Stabilizer

  • Sambariya, D.K.;Gupta, Rajeev
    • Journal of Electrical Engineering and Technology
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    • 제5권3호
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    • pp.503-510
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    • 2010
  • This paper proposes the use of fuzzy applications to a 4-machine and 10-bus system to check stability in open conditions. Fuzzy controllers and the excitation of a synchronous generator are added. Power system stabilizers (PSSs) are added to the excitation system to enhance damping during low frequency oscillations. A fuzzy logic power system stabilizer (PSS) for stability enhancement of a multi-machine power system is also presented. To attain stability enhancement, speed deviation ($\Delta\omega$) and acceleration ($\Delta\varpi$) of the Kota Thermal synchronous generator rotor are taken as inputs to the fuzzy logic controller. These variables have significant effects on the damping of generator shaft mechanical oscillations. The stabilizing signals are computed using fuzzy membership functions that are dependent on these variables. The performance of the fuzzy logic PSS is compared with the open power system, after which the simulations are tested under different operating conditions and changes in reference voltage. The simulation results are quite encouraging and satisfactory. Similarly, the system is tested for the different defuzzification methods, and based on the results, the centroid method elicits the best possible system response.

FUZZY δ-TOPOLOGY AND COMPACTNESS

  • Lee, Seok-Jong;Yun, Sang-Min
    • 대한수학회논문집
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    • 제27권2호
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    • pp.357-368
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    • 2012
  • We introduce the concepts of fuzzy ${\delta}$-interior and show that the set of all fuzzy ${\delta}$-open sets is also a fuzzy topology, which is called the fuzzy ${\delta}$-topology. We obtain equivalent forms of fuzzy ${\delta}$-continuity. More-over, the notions of fuzzy ${\delta}$-compactness and fuzzy locally ${\delta}$-compactness are defined and their basic properties under fuzzy ${\delta}$-continuous mappings are investigated.

The SPWM Fuzzy Controller for speed control of Induction Motor

  • Kamsri, T.;Riewruja, V.;Ukakimaparn, P.;Pongswatd, S.;Kummool, S.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.465-465
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    • 2000
  • The paper presents the fuzzy control technique to adjust the gain schedule in the fuzzy controller. The micro computer is designed to the fuzzy controller to execute the proportional gain with the data of the error and speed command. The gain schedule is the fuzzy set which execute based on the fuzzy rule. The gain schedule from the fuzzy controller is fed to the sinusoidal pulse width modulation (SPWM) inverter for control the response and speed of the induction motor. The induction motor coupling to the DC motor and tachogenerator which DC motor as a load. The test result of the fuzzy control technique in the open loop control, it provides a good response and in the closed loop control it can control speed in the any condition of load design

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