• Title/Summary/Keyword: Choquet Integral

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Some properties of Choquet distance measures for interval-valued fuzzy numbers (구간치 퍼지수 상의 쇼케이 거리측도에 관한 성질)

  • Jang, Lee-Chae;Kim, Won-Joo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.7
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    • pp.789-793
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    • 2005
  • Interval-valued fuzzy sets were suggested for the first time by Gorzalczang(1983) and Turken(19a6). Based on this, Wang and Li offended their operations on interval-valued fuzzy numbers. Recently, Hong(2002) generalized results of Wang and Li and extended to interval-valued fuzzy sets with Riemann integral. In this paper, using Choquet integrals with respect to a fuzzy measure instead of Riemann integrals with respect to a classical measure, we define a Choquet distance measure for interval-valued fuzzy numbers and investigate its properties.

Some algebraic properties and a distance measure for interval-valued fuzzy numbers (쇼케이적분을 이용한 구간치 퍼지수 상의 거리측도에 관한 성질)

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.11a
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    • pp.121-124
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    • 2005
  • Interval-valued fuzzy sets were suggested for the first time by Gorzalczang(1983) and Turken(1986). Based on this, Wang and Li extended their operations on interval-valued fuzzy numbers. Recently, Hong(2002) generalized results of Wang and Li and extended to interval-valued fuzzy sets with Riemann integral. In this paper, we define a distance measure on interval-valued fuzzy numbers using Choquet integral with respect to a classical measure and investigate their properties.

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An integral based fuzzy approach to evaluate waste materials for concrete

  • Onat, Onur;Celik, Erkan
    • Smart Structures and Systems
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    • v.19 no.3
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    • pp.323-333
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    • 2017
  • Waste materials in concrete have been considered as one of the most important issues by the authorities, policy makers and researchers to maintain engineering serviceability in terms of economy, durability and sustainability. Therefore, evaluation and selection of waste materials with respect to multi criteria decision making (MCDM) for the construction industry has been gained importance for recovery and reuse. In this paper, Choquet integral based fuzzy approach is proposed for evaluating the most suitable waste materials with respect to compressive strength, tensile strength, flexural strength, compactness, toughness (resistivity for dynamic loads), water absorption and accessibility. On conclusion, waste tyre and silica fume were determined as the most suitable waste materials for concrete production. The obtained results are recommended to assist the authorities on configuring well designed strategies for construction industry with disposal materials.

On Lebesgue-type theorems for interval-valued Choquet integrals with respect to a monotone set function. (단조집합함수에 의해 정의된 구간치 쇼케이적분에 대한 르베그형태 정리에 관한 연구)

  • Jang, Lee-Chae;Kim, Tae-Kyun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.195-198
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    • 2007
  • In this paper, we consider Lebesgue-type theorems in non-additive measure theory and then investigate interval-valued Choquet integrals and interval-valued fuzzy integral with respect to a additive monotone set function. Furthermore, we discuss the equivalence among the Lebesgue's theorems, the monotone convergence theorems of interval-valued fuzzy integrals with respect to a monotone set function and find some sufficient condition that the monotone convergence theorem of interval-valued Choquet integrals with respect to a monotone set function holds.

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On Lebesgue-type theorems for interval-valued Choquet integrals with respect to a monotone set function (단조집합함수에 의해 정의된 구간치 쇼케이적분에 대한 르베그형태 정리에 관한 연구)

  • Jang, Lee-Chae;Kim, Tae-Kyun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.6
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    • pp.749-753
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    • 2007
  • In this paper, we consider Lebesgue-type theorems in non-additive measure theory and then investigate interval valued Choquet integrals and interval-valued fuzzy integral with respect to a additive monotone set function. Furthermore, we discuss the equivalence among the Lebesgue's theorems, the monotone convergence theorems of interval-valued fuzzy integrals with respect to a monotone set function and find some sufficient condition that the monotone convergence theorem of interval-valued Choquet integrals with respect to a monotone set function holds.

Evaluation of the Navigational Safety Level in Korean Coastal Waterway from the Viewpoint of Ship Operator′s Stress (조선자의 조선부담감을 고려한 연안해역의 항행 안전성 평가에 관한 연구)

  • 금종수;장운재
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.9 no.1
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    • pp.65-72
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    • 2003
  • The prevention of marine accidents has been a major topic in marine society and various policies and countermeasures have been developed, applied to the industries. In order to improve the navigational safety level in the coastal waterways, the navigational safety level must be evaluated from the mariner's perception of safety. So far as human beings are concerned, there are many types of fuzziness in the evaluation of navigational safety level. In order to reflect these fuzziness on this evaluation, this paper introduces the fuzzy integral suggested by Choquet to represent the fuzziness in the evaluation process. This paper aims to develop the method for this evaluation from the viewpoint of mariner's operational stress using the fuzzy measure and Choquet integral. In this paper, Korean coastal area is divided into 8 sectors and evaluated the priority for the needs of coastal VTS and navigational aids. The results are found in the order named Mokpo, Yosu, Pohang, Inchon, Busan, Geoje, Gunsan, Donghae coastal area.

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A Note on Set-Valued Choquet Integrals

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.1041-1044
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    • 2005
  • Recently, Zhang et al.(Fuzzy Sets and Systems 147(2004) 475-485) proved Fatou's lemma and Lebesgue dominated convergence theorem under some conditions of fuzzy measure. In this note, we show that these conditions of fuzzy measure is essential to prove Fatou's lemma and Lebesgue dominated convergence theorem by examples

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Relevance Feedback for Content Based Retrieval Using Fuzzy Integral (퍼지적분을 이용한 내용기반 검색 사용자 의견 반영시스템)

  • Young Sik Choi
    • Journal of Internet Computing and Services
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    • v.1 no.2
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    • pp.89-96
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    • 2000
  • Relevance feedback is a technique to learn the user's subjective perception of similarity between images, and has recently gained attention in Content Based Image Retrieval. Most relevance feedback methods assume that the individual features that are used in similarity judgments do not interact with each other. However, this assumption severely limits the types of similarity judgments that can be modeled In this paper, we explore a more sophisticated model for similarity judgments based on fuzzy measures and the Choquet Integral, and propose a suitable algorithm for relevance feedback, Experimental results show that the proposed method is preferable to traditional weighted- average techniques.

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모바일 게임 파트너 선정을 위한 보안 프로토콜 검증

  • Sin, Seung-Jung
    • 한국게임학회지
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    • v.2 no.1
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    • pp.23-30
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    • 2002
  • The objective of this paper was to cope with the verification of the message transfer protocol that integrates the electronic signature and the distribution and authentication of Public key in Mobile Game using m-Commerce Choquet fuzzy integral compared with fuzzy integral. They were classified into the security technology, the security policy, the electronic document processing, the electronic document transportation and the encryption and decryption keys in its function. The measures of items of the message security protocol were produced for the verification of the implemented document in every function.

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