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

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Interval-Valued Fuzzy Soft sets 관한 연구 (A Note on Interval-Valued Fuzzy Soft Sets)

  • 민원근
    • 한국지능시스템학회논문지
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    • 제18권3호
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    • pp.412-415
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    • 2008
  • 본 논문은 부정확한 null interval-valued fuzzy soft sets 와 absolute interval-valued fuzzy soft sets 개념의 오류를 지적하였으며 interval-valued fuzzy soft sets를 위해 새롭게 정의된 개념을 소개하며 이를 이용한 기본적인 성질을 조사한다.

Intuitionistic Interval-Valued Fuzzy Sets

  • 정민석;허걸
    • 한국지능시스템학회논문지
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    • 제20권6호
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    • pp.864-874
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    • 2010
  • We introduce the notion of intuitionistic interval-valued fuzzy sets as the another generalization of interval-valued fuzzy sets and intuitionistic fuzzy sets and hence fuzzy sets. Also we introduce some operations over intuitionistic interval-valued fuzzy sets. And we study some fundamental properties of intuitionistic interval-valued fuzzy sets and operations.

구간값 퍼지집합, Intuitionistic 퍼지집합, Bipolar-valued 퍼지집합의 비교 (Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets)

  • 이건명
    • 한국지능시스템학회논문지
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    • 제14권2호
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    • pp.125-129
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    • 2004
  • There are several kinds of fuzzy set extensions in the fuzzy set theory. Among them, this paper is concerned with interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets. In interval-valued fuzzy sets, membership degrees are represented by an interval value that reflects the uncertainty in assigning membership degrees. In intuitionistic fuzzy sets, membership degrees are described with a pair of a membership degree and a nonmembership degree. In bipolar-valued fuzzy sets, membership degrees are specified by the satisfaction degrees to a constraint and its counter-constraint. This paper investigates the similarities and differences among these fuzzy set representations.

INTERVAL-VALUED FUZZY SEMI-PREOPEN SETS AND INTERVAL-VALUED FUZZY SEMI-PRECONTINUOUS MAPPINGS

  • Jun, Young-Bae;Kim, Sung-Sook;Kim, Chang-Su
    • 호남수학학술지
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    • 제29권2호
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    • pp.223-244
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    • 2007
  • We introduce the notions of interval-valued fuzzy semipreopen sets (mappings), interval-valued fuzzy semi-pre interior and interval-valued fuzzy semi-pre-continuous mappings by using the notion of interval-valued fuzzy sets. We also investigate related properties and characterize interval-valued fuzzy semi-preopen sets (mappings) and interval-valued fuzzy semi-precontinuous mappings.

구간값 퍼지집합, Intuitionistic 퍼지집합, Bipolar-valued 퍼지집합의 비교 (Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets)

  • 이건명
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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    • pp.12-15
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    • 2001
  • There are several kinds of fuzzy set extensions in the fuzzy set theory. Among them, this paper is concerned with interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets. In interval-valued fuzzy sets, membership degrees are represented by an interval value that reflects the uncertainty in assigning membership degrees. In intuitionistic sets, membership degrees are described with a pair of a membership degree and a nonmembership degree. In bipolar-valued fuzzy sets, membership degrees are specified by the satisfaction degrees to a constraint and its counter-constraint. This paper investigates the similarities and differences among these fuzzy set representations.

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

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제25권1호
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    • pp.1-18
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    • 2017
  • In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preclosed sets and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized preopen sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy generalized pre-continuous mappings and then investigate some of their properties.

Interval- Valued Fuzzy Minimal Structures and Interval-Valued Fuzzy Minimal Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권3호
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    • pp.202-206
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    • 2008
  • We introduce the concept of interval-valued minimal structure which is an extension of the interval-valued fuzzy topology. And we introduce and study the concepts of IVF m-continuous and several types of compactness on the interval-valued fuzzy m-spaces.