• Title/Summary/Keyword: H*H-fuzzy set

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ON QUASI-FUZZY H-CLOSED SPACE AND CONVERGENCE

  • Yoon, Kyo-Chil;Myung, Jae-Duek
    • Korean Journal of Mathematics
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    • v.4 no.2
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    • pp.173-178
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    • 1996
  • In this paper, we discuss quasi-fuzzy H-closed space and introduce ${\theta}$-convergence of prefilter in fuzzy topological space. And we define ${\theta}$-closed fuzzy set using by ${\theta}$-convergence.

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Fuzzy Continuous Mappings and Fuzzy Set-Valued Mappings (퍼지연속함수와 퍼지 집합값 함수)

  • J.H. Ryou;K. Hur
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.319-323
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    • 2001
  • First, we study some properties of F-continuities. Second, we introduce the concept of fuzzy set-valued mappings and study some properties of fuzzy set-valued mappings and fuzzy set-valued continuous mappings. Finally, we Introduce the concept of fuzzy semi-continuous of fuzzy set-valued mappings and investigate their some properties.

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The Category VSet(H)

  • Lim, Pyung-Ki;Kim, So-Ra;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.1
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    • pp.73-81
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    • 2010
  • We introduce the new category VSet(H) consisting of H-fuzzy spaces and H-fuzzy mappings between them satisfying a certain condition, and investigate VSet(H) in the sense of a topological universe. Moreover, we show that VSet(H) is Cartesian closed over Set.

HESITANT FUZZY BI-IDEALS IN SEMIGROUPS

  • JUN, YOUNG BAE;LEE, KYOUNG JA;SONG, SEOK-ZUN
    • Communications of the Korean Mathematical Society
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    • v.30 no.3
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    • pp.143-154
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    • 2015
  • Characterizations of hesitant fuzzy left (right) ideals are considered. The notion of hesitant fuzzy (generalized) bi-ideals is introduced, and related properties are investigated. Relations between hesitant fuzzy generalized bi-ideals and hesitant fuzzy semigroups are discussed, and characterizations of (hesitant fuzzy) generalized bi-ideals and hesitant fuzzy bi-ideals are considered. Given a hesitant fuzzy set $\mathcal{H}$ on a semigroup S, hesitant fuzzy (generalized) bi-ideals generated by $\mathcal{H}$ are established.

A NOTE ON FUZZY HV-SUBMODULES

  • Davvaz, B.
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.265-271
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    • 2003
  • The purpose of this paper is to present certain results arising from product between fuzzy $H_{v}$-submodules. In particular, we consider the fundamental relation $\varepsilon$* defined on an $H_{v}$-module and give a property of the fundamental relations and fundamental modules with respect to the fuzzy product of $H_{v}$-modules.

Some Fuzzy Closed Sets and Fuzzy Approximately Continuous Mappings

  • Ahn, Y.S.;Hur, K.;Ryou, J.H.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.2
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    • pp.184-189
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    • 2001
  • First, we find the characterization of fg-closure of a fuzzy set. Second, we study some properties of frg-closeds and fg-continuous mappings. Finaly, we introduce the concept of a fuzzy approximately continuous mapping and study its properties.

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Intuitionistic H-Fuzzy Reflexive Relations (직관적 H-퍼지 반사관계)

  • K. Hur;H. W. Kang;J. H. Ryou;H. K. Song
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.33-36
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    • 2003
  • We introduce the subcategory IRel$\_$R/ (H) of IRel (H) consisting of intuitionistic H-fuzzy reflexive relational spaces on sets and we study structures of IRel$\_$R/ (H) in a viewpoint of the topological universe introduce by L.D.Nel. We show that IRel$\_$R/ (H) is a topological universe over Set. Moreover, we show that exponential objects in IRel$\_$R/ (H) are quite different from those in IRel (H) constructed in [7].

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Design of Rule-Based Controller for DC Motor using Fuzzy Reasoning (퍼지추론을 이용한 DC모터의 규칙기반 제어기 설계)

  • Kim, S.J.;Choi, H.S.;Choi, J.S.;Kim, Y.C.;Cho, H.
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.703-707
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    • 1991
  • During the past several years, fuzzy control has emerged as one of the most active and fruitful areas for reaserch in the applications of fuzzy set theory. A key component of the fuzzy controller is a rule-based system which provides a linguistic description of control strategy. This strategy has the form of a collection of fuzzy conditional statements which are implemented and manipulated using fuzzy set theory. In this paper, we propose the rule-based controller for DC motor speed control. The result of performance compare with PID controller to verify the validity of proposed algorithm.

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On type-2 fuzzy set-valued mappings

  • Kim, H.M.;L.C. Jang;J.D. Jeon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.311-313
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    • 2001
  • In this paper, we define type-2 fuzzy mappings on L-L fuzzy numbers and discuss some properties of these mappings.

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