• Title/Summary/Keyword: Fuzzy Sets and Systems

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QUASI FUZZY CONNECTEDNESS BETWEEN FUZZY SETS

  • Park, Jin-Han;Park, Jin-Keun;Son, Mi-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.9
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    • pp.855-858
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    • 2001
  • In this paper the concept of fuzzy connectedness between fuzzy sets [8] is generalized to fuzzy bitopological spaces and some of its properties are studied.

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Generalized Intuitionistic Fuzzy Soft Sets

  • Park, Jin-Han;Kwun, Young-Chel;Hwang, Jin-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.3
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    • pp.389-394
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    • 2011
  • The notion of generalized intuitionistic fuzzy soft set theory is proposed. Our generalized intuitionistic fuzzy soft set theory is a combination of the generalized intuitionistic fuzzy set theory and the soft set theory. In other words, our generalized intuitionistic fuzzy soft set theory is an extension of the intuitionistic fuzzy soft set theory. The complement, "and" and "or" operations are defined on the generalized intuitionistic fuzzy soft sets. Their basic properties for the generalized intuitionistic fuzzy soft sets are also presented and discussed.

Fuzzy r-derived Sets in Fuzzy Topological Spaces

  • Kim, Young-Sun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.6
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    • pp.644-649
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    • 1999
  • in this paper we introduce the notions of fuzzy r-adherent points fuzzy r-accumulation points and fuzzy r-derived sets in fuzzy topological spaces and investigate some of their properties.

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Hausdorff Intuitionistic Fuzzy Filters

  • Park, Jin-Han;Park, Jin-Keun;Park, Jong-Seo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.05a
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    • pp.114-118
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    • 2002
  • As a generalization of fuzzy sets, the concept of intuitionistic fuzzy sets was introduced by Atanassov [1]. By using intuitionistic fuzzy sets, we introduce and study the concept of intuitionistic fuzzy filters and define the concept of Hausdorffness on intuitionistic fuzzy filters, which can not be defined in crisp theory of filters, and study their properties for some extent.

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Interval-valued Fuzzy Soft Sets

  • Son, Mi-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.4
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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.

Automatically Constructed Fuzzy Rule-Based Pattern Classification Systems for Fault Diagnosis (자동 구축 퍼지 규칙기반 패턴 인식 시스템에 의한 고장진단 시스템의 구현)

  • Hong, Yoon-Kwang;Cho, Seong-Won
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.956-958
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    • 1995
  • This paper presents the automatic construction of fuzzy rule-based systems for diagnosing the faults of complex systems. Generally, fuzzy systems work well when we can use expert's experience to articulate fuzzy IF-THEN rules and memberships for fuzzy sets. When we cannot do this, we should generate the fuzzy rules and membership functions for fuzzy sets directly from experimental data. In this paper, we propose a new method on how to extract fuzzy sets and fuzzy rules. We also introduce an efficient fine-tunning algorithm of the parameters of membership functions.

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A Ranking Method for Type-2 Fuzzy Values (타입-2 퍼지값의 순위결정)

  • Lee, Seung-Soo;Lee, Kwang-H.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.4
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    • pp.341-346
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    • 2002
  • Type-1 fuzzy set is used to show the uncertainty in a given value. But there are many situations where it needs to be extended to type-2 fuzzy set because it can be also difficult to determine the crisp membership function itself. Type-2 fuzzy systems have the advantage that they are more expressive and powerful than type-1 fuzzy systems, but they require many operations defined for type-1 fuzzy sets need to be extended in the domain of type-2 fuzzy sets. In this paper, comparison and ranking methods for type-2 fuzzy sets are proposed. It is based on the satisfaction function that produces the comparison results considering the actual values of the given type-2 fuzzy sets with their possibilities. Some properties of the proposed method are also analyzed.

INTUITIONISTIC FUZZY FUNCTIONS

  • Hanafy, I.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.200-205
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    • 2003
  • In this paper, we generally introduce some of the terminology of Yalvac [10] and Azad [4] in intuitionistic fuzzy topological spaces. In addition to the fundamental concepts of intuitionistic fuzzy sets, we emphasize the usefulness of the concepts of intuitionistic fuzzy points intuitionistic fuzzy elementhood. Mainly, this paper is devoted to the study of intuitionistic fuzzy topological spaces with specific attention to the weaker forms of fuzzy continuity.