• 제목/요약/키워드: Fuzzy Division

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퍼지 유사-반연속성과 퍼지 유사-반연결성 (FUZZY QUASI-SEMICONTINUITY AND FUZZY QUASI-SEMICONNECTEDNESS)

  • Park, Jin-Han;Park, Jin-Keun;Park, Seong-Jun
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
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    • pp.98-101
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    • 2000
  • The aim of this paper is to study and find characterizations of fuzzy quasi-semicontinuous and fuzzy quasi-semiopen mappings between fuzzy bitopological spaces. The notion of fuzzy quasi-semiopen sets is used to define fuzzy quasi-semicontinuous and fuzzy quasi-semiopen mappings. Finally, fuzzy quasi-semiconnectedness is introduced and studied to some extent.

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FUZZY IDEALS AND FUZZY SUBRINGS UNDER TRIANGULAR NORMS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • 제10권2호
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    • pp.149-155
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    • 2002
  • We develop some basic properties of $t$-fuzzy ideals in a monoid or a group and find the sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy subring and the necessary and sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy ideal.

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Fuzzy Mappings and Fuzzy Equivalence Relations

  • Lim, Pyung-Ki;Choi, Ga-Hee;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제11권3호
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    • pp.153-164
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    • 2011
  • Equivalence relations and mappings for crisp sets are very well known. This paper attempts an investigation of equivalence relations and mappings for fuzzy sets. We list some concepts and results related to fuzzy relations. We give some examples corresponding to the concept of fuzzy equality and fuzzy mapping introduced by Demirci [1]. In addition, we introduce the notion of preimage and quotient of fuzzy equivalence relations. Finally, we investigate relations between a fuzzy equivalence relation and a fuzzy mapping.

Vague Continuous Mappings

  • Lim, Pyung-Ki;Kim, So-Ra;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권2호
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    • pp.157-164
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    • 2010
  • Up to now, in the area of fuzzy topology, almost all the researchers have investigated fuzzy continuities by using ordinary mappings. However, in this paper, we study continuities by using fuzzy mappings introduced by Demirci [2].

Fuzzy Separability and Axioms of Countability in Fuzzy Hyperspaces

  • Kul-Hur;Ryu, Jang-Hyun;Baek, B.S
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 추계학술대회 및 정기총회
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    • pp.67-70
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    • 2002
  • We study some relations between separability in fuzzy topological spaces and one in fuzzy hyperspaces. And we investigate some properties of axiom of countability in fuzzy hyperspaces.

Intuitionistic Fuzzy Subgroups and Subrings

  • Hur, Kul;Kang, Hee Won;Song, Hyeong Kee
    • 호남수학학술지
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    • 제25권1호
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    • pp.19-41
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    • 2003
  • In this paper, we introduce the concepts of intuitionistic fuzzy subgroups and intuitionistic fuzzy subrings and investigated some of their properties.

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INTUITIONISTIC FUZZY WEAK CONGRUENCES ON A SEMIRING

  • Hur, Kul;Jang, Su-Youn;Lee, Keon-Chang
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권4호
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    • pp.321-330
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    • 2006
  • We introduce the concept of intuitionistic fuzzy weak congruence on a semiring and obtain the relation between intuitionistic fuzzy weak congruence and intuitionistic fuzzy ideal of a semiring. Also we define and investigate intuitionistic fuzzy quotient semiring of a semiring over an intuitionistic fuzzy ideal or over an intuitionistic fuzzy weak congruence.