• 제목/요약/키워드: Fuzzy measure

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

  • 정택수;정규련
    • 한국지능시스템학회논문지
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    • 제4권2호
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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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Hierarchical Fuzzy Process법 및 퍼지관계방정식을 이용한 철도물류서비스의 경쟁우위 전략에 관한 연구 (A Study on Competition Strategy of Korail's Logistics Services Using Hierarchical Fuzzy Process and Fuzzy Relation Equation)

  • 유승열;이재원;권용장
    • 한국철도학회논문집
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    • 제9권4호
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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
    • 한국융합학회논문지
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    • 제4권2호
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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.

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

  • Park, Wook-Je;Park, Hyun-Jeong;Lee, Sang-H
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2007년도 추계학술대회 학술발표 논문집
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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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    • 제10권3호
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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
    • 한국지능시스템학회논문지
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    • 제14권5호
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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.

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

  • 박인규;이완범
    • 디지털콘텐츠학회 논문지
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    • 제9권1호
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    • pp.53-60
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    • 2008
  • 퍼지집합이론과 수학적 형태학간의 유사도를 기반으로 Grabish는 수게노(Sugeno)퍼지적분을 이용한 퍼지 수학적 형태학을 제안하였다. 본 논문에서는 퍼지적분에 해당하는 퍼지측도의 비퍼지화를 통한 퍼지 수학적 형태학을 제안하였다. 각각의 부분집합에 대한 각각의 퍼지측도의 포함정도를 측정하는 퍼지집합에 대하여 비퍼지화 과정을 적용한다. 또한 모든 부분집합에 대하여 $\lambda$-퍼지 측도를 정의하여 이에 대한 마스크내의 영상에 대한 비퍼지화를 수행하여 퍼지적분의 결과로 대치하였다. 결국 퍼지 측도를 기반으로 하여 융기와 침식에 대한 퍼지 형태학적 연산자를 정의한다. 이러한 연산자들을 이용하여 2차원의 물체에 대한 골격화에 적용하여 보았다. 임펄스 잡음을 가지는 나선형 영상과 퍼즐영상에 대하여 위의 방법을 적용한 결과 기존의 방법보다 대부분의 경우에 우수함을 확인할 수 있었다.

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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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    • 제4권1호
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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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준 노름 퍼지 적분에 의해 정의된 퍼지 측도 (Fuzzy Measures Defined by the Semi-Normed Fuzzy Integrals)

  • Kim, Mi-Hye;Lee, Soon-Seok
    • 한국콘텐츠학회논문지
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    • 제2권4호
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    • pp.99-103
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    • 2002
  • 본 논문에서는 t 준노름이 연속인 경우 이미 주어진 퍼지 측도에 관한 측정 가능한 함수의 준 노름 퍼지 적분을 이용하여 퍼지 측도를 정의하는 방법에 대해서 조사했다. 즉 (X, F, g)이 퍼지 측도 공간이라고 하고 h$\in$L$^\circ$(X), 이며 $\top$는 연속 t 준노름이라 하자. 그러면 임의의 $A\in$F에 대해 $\nu$(A)=$\int _A$h$\top$g에 의하여 정의된 집합치 함수 $\nu$는 (X, F)상에서 퍼지 측도이다.

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