• Title/Summary/Keyword: Fuzzy measure

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Multicriteria Decision-Making Mehtodology Using Fuzzy Dependence Relations and Fuzzy Measure (퍼지종속관계 및 퍼지측도를 이용한 다기준평가방법)

  • 정택수;정규련
    • Journal of the Korean Institute of Intelligent Systems
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    • v.4 no.2
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    • pp.24-34
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    • 1994
  • Scientific involvement in complex decision-making system, characterized by multicriteria phenomena and fuzziness inherent in the structure of information, requires suitable methods. Especially, when powerful dependent criteria are introduced and their weighted value structure is ignorant, the systems are become more complex. This paper presents a fuzzy dependenced relation model and fuzzy measure model for this kind of multicriteria decision-making. The model we propose is based on fuzzy relation and fuzzy measure in fuzzy systems theory. For the application of the model, a numdrical example is quoted.

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A Study on Competition Strategy of Korail's Logistics Services Using Hierarchical Fuzzy Process and Fuzzy Relation Equation (Hierarchical Fuzzy Process법 및 퍼지관계방정식을 이용한 철도물류서비스의 경쟁우위 전략에 관한 연구)

  • Yoo Seung-Yeul;Lee Jae-Won;Kwan Yong-Jang
    • Journal of the Korean Society for Railway
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    • v.9 no.4 s.35
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    • pp.432-440
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    • 2006
  • Prior to the service evaluation, many kinds of its attributes must be identified on the basis of rational decision owing to complexity and ambiguity inherent in logistics service. there are so many evaluation methods but they are not applicable to logistics service the have property of non-additivity and overlapped attributes. Therefore, probability measure can not used to evaluate logistics service but Fuzzy Measure is required. And the method should be easy to calculate it Recently Fuzzy theory has been applied in Various evaluation problem. Fuzzy evaluation based on Fuzzy theory can accommodate fuzziness in judgement with people through introducing Fuzzy Measure. In this paper, Hierarchical Fuzzy Process is applied to evaluate level of logistics service in Korail and the biggest six logistics companies in the korea which is called 3PL Company. Also Fuzzy Relation Equation which is problem identifying evaluation value at these fuzzy evaluation is applied to verify relation between Input and Output data through @-operation. Therefore, we apply this Fuzzy Relation Equation to Hierarchical Fuzzy Process and verify evaluation value which objects of evaluation are able to possess.

Information Management by Data Quantification with FuzzyEntropy and Similarity Measure

  • Siang, Chua Hong;Lee, Sanghyuk
    • Journal of the Korea Convergence Society
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    • v.4 no.2
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    • pp.35-41
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    • 2013
  • Data management with fuzzy entropy and similarity measure were discussed and verified by applying reliable data selection problem. Calculation of certainty or uncertainty for data, fuzzy entropy and similarity measure are designed and proved. Proposed fuzzy entropy and similarity are considered as dissimilarity measure and similarity measure, and the relation between two measures are explained through graphical illustration.Obtained measures are useful to the application of decision theory and mutual information analysis problem. Extension of data quantification results based on the proposed measures are applicable to the decision making and fuzzy game theory.

Fuzzy Entropy Construction based on Similarity Measure (유사측도에 기반한 퍼지 엔트로피구성)

  • Park, Wook-Je;Park, Hyun-Jeong;Lee, Sang-H
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.366-369
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    • 2007
  • In this paper we derived fuzzy entropy that is based on similarity measure. Similarity measure represents the degree of similarity between two informations, those informations characteristics are not important. First we construct similarity measure between two informations, and derived entropy functions with obtained similarity measure. Obtained entropy is verified with proof. With the help of one-to-one similarity is also obtained through distance measure, this similarity measure is also proved in our paper.

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On Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure of Fuzzy Complex Valued Functions

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.224-229
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    • 2010
  • In this paper, using fuzzy complex valued functions and fuzzy complex valued fuzzy measures ([11]) and interval-valued Choquet integrals ([2-6]), we define Choquet integral with respect to a fuzzy complex valued fuzzy measure of a fuzzy complex valued function and investigate some basic properties of them.

Measure of Fuzziness with fuzzy entropy function

  • Lee, Sang-Hyuk;Kang, Keum-Boo;Kim, Sung shin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.5
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    • pp.642-647
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    • 2004
  • The relations of fuzzy entropy, distance measure, and similarity measure are discussed in this paper. For the purpose of reliable signal selection, the fuzzy entropy is proposed by a distance measure. Properness of the proposed entropy is verified by the definition of the entropy measure. Fourier and Wavelet transform are applied to the stator current signal to obtain the fault features of an induction motor. Membership functions for 3-phase currents are obtained by the Bootstrap method and Central Limit Theorem. Finally, the proposed entropy is applied to measure the fault signal of an induction machine, and the fuzzy entropy values of phase currents are illustrated.

The Skeletonization of 2-Dimensional Image for Fuzzy Mathematical Morphology using Defuzzification (비퍼지화를 이용한 퍼지 수학적 형태학의 2차원 영상의 골격화)

  • Park, In-Kue;Lee, Wan-Bum
    • Journal of Digital Contents Society
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    • v.9 no.1
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    • pp.53-60
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    • 2008
  • Based on similarities between fuzzy set theory and mathematical morphology, Grabish proposed a fuzzy morphology based on the Sugeno fuzzy integral. This paper proposes a fuzzy mathematical morphology based on the defuzzification of the fuzzy measure which corresponds to fuzzy integral. Its process makes a fuzzy set used as a measure of the inclusion of each fuzzy measure for subsets. To calculate such an integral a $\lambda$-fuzzy measure is defined which gives every subsets associated with the universe of discourse, a definite non-negative weight. Fast implementable definitions for erosion and dilation based on the fuzzy measure was given. An application for robust skeletonization of two-dimensional objects was presented. Simulation examples showed that the object reconstruction from their skeletal subsets that can be achieved by using the proposed was better than by using the binary mathematical morphology in most cases.

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T-FUZZY INTEGRALS OF SET-VALUED MAPPINGS

  • CHO, SUNG JIN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.39-48
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    • 2000
  • In this paper we define T-fuzzy integrals of set-valued mappings, which are extensions of fuzzy integrals of the single-valued functions defined by Sugeno. And we discuss their properties.

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Fuzzy Measures Defined by the Semi-Normed Fuzzy Integrals (준 노름 퍼지 적분에 의해 정의된 퍼지 측도)

  • Kim, Mi-Hye;Lee, Soon-Seok
    • The Journal of the Korea Contents Association
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    • v.2 no.4
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    • pp.99-103
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    • 2002
  • In this paper, we investigate for how to define a fuzzy measure by using the semi-normed fuzzy integral of a given measurable function with respect to another given fuzzy measure when t-seminorm is continuous. Let (X, F, g) be a fuzzy measure space, h$\in$L$^\circ$(X), and $\top$ be a continuous t-seminorm.. Then the set function $\nu$ defined by $\nu$(A)=$\int _A$h$\top$g for any $A\in$F is a fuzzy measure on (X, F).

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