• Title/Summary/Keyword: Fuzzy Sets

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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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    • v.25 no.1
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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.

On fuzzy preinvex mappings associated with interval-valued Choquet integrals

  • Lee, Chae-Jang;Kim, Hyun-Mee
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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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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On some properties of distance measures and fuzzy entropy

  • Lee, Sang-Hyuk;Kim, Sungshin
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.9-12
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    • 2002
  • Representation and quantification of fuzziness are required for the uncertain system modelling and controller design. Conventional results show that entropy of fuzzy sets represent the fuzziness of fuzzy sets. In this literature, the relations of fuzzy enropy, distance measure and similarity measure are discussed, and distance measure is proposed. With the help of relations of fuzzy enropy, distance measure and similarity measure, fuzzy entropy is represented by the newly proposed distance measure. With simple fuzzy set, example is illustrated.

Fuzzy Sets and Decision Marking in Nuclear Science

  • Ruan, D.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1058-1061
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    • 1993
  • Fuzzy set theory has been extensively researched in various fields of engineering. In nuclear science, a significant influence of fuzzy sets can be noticed. However, applications of fuzzy set theory to nuclear engineering is novel. In this paper, we start with a basic statement of the decision-making process based on fuzzy set theory, and then apply it to nuclear science with some practical applications (a fuzzy decision making in an accidental release to the atmosphere as well as in a problem of land suitability classification). We believe that the use of fuzzy set theory in nuclear science has potential advantages.

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AN EXTENSION OF SOFT ROUGH FUZZY SETS

  • Beg, Ismat;Rashid, Tabasam
    • Korean Journal of Mathematics
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    • v.25 no.1
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    • pp.71-85
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    • 2017
  • This paper introduces a novel extension of soft rough fuzzy set so-called modified soft rough fuzzy set model in which new lower and upper approximation operators are presented together their related properties that are also investigated. Eventually it is shown that these new models of approximations are finer than previous ones developed by using soft rough fuzzy sets.

The set-theoretic operations of L-R fuzzy numbers and cardinalities of type-two fuzzy sets. (L-R 퍼지수의 집합-이론적 연산과 제2형 퍼지집합의 기수)

  • 장이채;전종득
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.2
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    • pp.115-118
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    • 2001
  • 본 논문에서는 L-R 퍼지수의 집합-이론적 연산의 개념을 정의하고, 이들 개념의 성질들을 조사한다. 이들 연산들의 결과들을 이용하여 제2형 퍼지집합의 기수개념에 관하여 연구한다.

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A Note on Linear Regression Model Using Non-Symmetric Triangular Fuzzy Number Coefficients

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.445-449
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    • 2005
  • Yen et al. [Fuzzy Sets and Systems 106 (1999) 167-177] calculated the fuzzy membership function for the output to find the non-symmetric triangular fuzzy number coefficients of a linear regression model for all given input-output data sets. In this note, we show that the result they obtained in their paper is invalid.

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Self-Tuning Method for Fuzzy Controller (퍼지제어기의 자기동조 방법에 관한 연구)

  • Choi, Han-Soo;Kim, Sung-Joong
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.218-220
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    • 1993
  • This paper deals with a self-tuning fuzzy controller. The fuzzy controller is constructed with linguistic rules which consist of the fuzzy variables and fuzzy sets. Each of fuzzy sets is characterized by a membership function. The tuning fussy controller has paramemters to effect control output. In this paper we propose tuning method for the scaling factor. Computer simulations carried out on a second-order process will show how the present tuning approach improves the transient and steady-state characteristics of the overall system.

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INTUITIONISTIC FUZZY PMS-SUBALGEBRA OF A PMS-ALGEBRA

  • Derseh, Beza Lamesgin;Alaba, Berhanu Assaye;Wondifraw, Yohannes Gedamu
    • Korean Journal of Mathematics
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    • v.29 no.3
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    • pp.563-576
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    • 2021
  • In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebra of a PMS-algebra. The idea of level subsets of an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra is introduced. The relation between intuitionistic fuzzy sets and their level sets in a PMS-algebra is examined, and some interesting results are obtained.

Fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous maps (퍼지 (r, s)-semi-preopen 집합과 퍼지 (r, s)-semi-precontinuous 함수)

  • Lee, Seok-Jong;Kim, Jin-Tae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.179-182
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    • 2007
  • In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous maps on intuitionistic fuzzy topological spaces in Sostak's sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous maps are discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous map is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed maps on intuitionistic fuzzy topological spaces in Sostak's sense, and then we investigate some of their characteristic properties.

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