• 제목/요약/키워드: interval-valued fuzzy sets

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A Note on Distances between Interval-Valued Intuitionistic Fuzzy Sets

  • Jang, Lee-Chae;Kim, Won-Joo;Kim, T.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제11권1호
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    • pp.8-11
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    • 2011
  • Atanassov [1,2] and Szmidt and Kacprzyk[7,8] studied various methods for measuring distances between intuitionistic fuzzy sets. In this paper, we consider interval-valued intuitionistic fuzzy sets and discuss these methods for measuring distances between interval-valued intuitionistic fuzzy sets.

ON THE MODAL OPERATORS OVER THE GENERALIZED INTERVAL VALUED INTUITIONISTIC FUZZY SETS

  • JAMKHANEH, EZZATALLAH BALOUI
    • Journal of applied mathematics & informatics
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    • 제35권5_6호
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    • pp.459-476
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    • 2017
  • Interval valued intuitionistic fuzzy sets (IVIFSs) is widely used to model uncertainty, imprecise, incomplete and vague information. In this paper, newly defined modal operators over an extensional generalized interval valued intuitionistic fuzzy sets ($GIVIFS_Bs$) are proposed. Some of the basic properties of the new operators are discussed and few theorems were proved. The actual contribution in this paper is to discuss ten operators on $GIVIFS_Bs$.

([r, s], [t, u])-INTERVAL-VALUED INTUITIONISTIC FUZZY ALPHA GENERALIZED CONTINUOUS MAPPINGS

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제25권2호
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    • pp.261-278
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    • 2017
  • In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized closed and open sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized continuous mappings and then investigate some of their properties.

Interval-valued Fuzzy Soft Sets

  • Son, Mi-Jung
    • 한국지능시스템학회논문지
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    • 제17권4호
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    • pp.557-562
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    • 2007
  • This paper extends the work of Maji et al. (2001) to present the concept of interval-valued fuzzy soft sets and to present an algorithm for finding where the degree of membership are represented by interval values in [0, 1]. The proposed method is more flexible than the one presented in Maji et at. (2001) due to the fact that it allows the degrees of membership of object for parameters to be represented by interval-values rather than crisp real values between zero and one.

Interval-valued Fuzzy Ideals and Bi-ideals of a Semigroup

  • Cheong, Min-Seok;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제11권4호
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    • pp.259-266
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    • 2011
  • We apply the concept of interval-valued fuzzy sets to theory of semigroups. We give some properties of interval-valued fuzzy ideals and interval-valued fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type of semigroups in terms of interval-valued fuzzy ideals and intervalvalued fuzzy bi-ideals.

구간값 모호집합에 기반을 둔 퍼지시스템의 신뢰도 분석 (Reliability Analysis of Fuzzy Systems Based on Interval Valued Vague Sets)

  • 이세열;조상엽;김용수
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
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    • pp.362-365
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    • 2008
  • In the conventional fuzzy system reliability analysis, the reliabilities of the fuzzy systems and the components of fuzzy systems are represented by real values between zero and one, fuzzy numbers, vague sets, interval valued fuzzy sets, etc. This paper propose a method to represent and analyze the reliabilities of the fuzzy systems based on the internal valued vague sets defined in the universe of discourse [0, 1]. In the interval valued vague sets, the upper bounds and the lower bounds of the conventional vague sets are represented as the intervals, therefore it can allow the reliabilities of a fuzzy system to represent and analyze in a more flexible manner.

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INTERVAL-VALUED FUZZY m-SEMIOPEN SETS AND INTERVAL-VALUED FUZZY m-PREOPEN SETS ON INTERVAL-VALUED FUZZY MINIMAL SPACES

  • Min, Won-Keun;Kim, Myeong-Hwan;Kim, Jung-Il
    • 호남수학학술지
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    • 제31권1호
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    • pp.31-43
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    • 2009
  • We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and IVF m-preopen sets.

On fuzzy preinvex mappings associated with interval-valued Choquet integrals

  • Lee, Chae-Jang;Kim, Hyun-Mee
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
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    • pp.127-128
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    • 2008
  • In this paper, we consider define fuzzy invex sets and fuzzy preinvex functions on the class of Choquet integrable functions, and interval-valued fuzzy invex sets and interval-valued fuzzy preinvex functions on the class of interval-valued Choquet integrals. And also we prove some properties of them.

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