• Title/Summary/Keyword: Sugeno Fuzzy Integral

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A note on Linguistic quantifiers modeled by Sugeno integral with respect to an interval-valued fuzzy measures (구간치 퍼지측도와 관련된 수게노적분에 의해 모델화된 언어 정량자에 관한 연구)

  • Jang, Lee-Chae;Kim, Tae-Kyun;Kim, Hyun-Mee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.1
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    • pp.1-6
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    • 2010
  • Ying[M.S. Ying, Linguistic quantifiers modeled by Sugeno integrals, Artificial Intelligence 170(2006) 581-606] studied a framework for modeling quantifiers in natural languages in which each linguistic quantifier is represented by a family of fuzzy measures and the truth value of a quantified proposition is evaluated by using Sugeno integral. In this paper, we consider interval-valued fuzzy measures and interval quantifiers which are the generalized concepts of fuzzy measures and quantifiers, respectively. We also investigate logical properties of a first order language with interval quantifiers modeled by the Sugeno integral with respect to an interval-valued fuzzy measures.

Takagi-Sugeno Fuzzy Integral Control for Asymmetric Half-Bridge DC/DC Converter

  • Chung, Gyo-Bum
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.1
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    • pp.77-84
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    • 2007
  • In this paper, Takagi-Sugeno (TS) fuzzy integral control is investigated to regulate the output voltage of an asymmetric half-bridge (AHB) DC/DC converter; First, we model the dynamic characteristics of the AHB DC/DC converter with state-space averaging method and small perturbation at an operating point. After introducing an additional integral state of the output regulation error, we obtain the $5^{th}$-order TS fuzzy model of the AHB DC/DC converter. Second, the concept of the parallel distributed compensation is applied to design the fuzzy integral controller, in which the state feedback gains are obtained by solving the linear matrix inequalities (LMIs). Finally, simulation results are presented to show the performance of the considered design method as the output voltage regulator and compared to the results for which the conventional loop gain method is used.

A Study on the Comparison of Material Similarity Using Sugeno Fuzzy Integral in Laser Cutting Process (레이저 절단에서 Sugeno 퍼지적분을 이용한 재료 유사성 비교에 관한 연구)

  • 최은석;한국찬;나석주
    • Journal of Welding and Joining
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    • v.12 no.3
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    • pp.63-70
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    • 1994
  • Laser processing workmen should select the working condition for laser cutting of new materials by the preparatory experiments for that material or from the past experiences in cutting of other similar materials. This paper proposes a criterion to determine how much a material is similar to other materials by using the Sugeno fuzzy integral. With the proposed criterion the laser processing workman can objectify the considered material for his decision. The expert system programmer can give the system a high flexibility by experimenting with some materials in a large range of similarity and can support the laser processing workman by offering the similarity between materials.

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Application of Fuzzy Integral Control for Output Regulation of Asymmetric Half-Bridge DC/DC Converter with Current Doubler Rectifier

  • Chung, Gyo-Bum;Kwack, Sun-Geun
    • Journal of Power Electronics
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    • v.7 no.3
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    • pp.238-245
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    • 2007
  • This paper considers the problem of regulating the output voltage of a current doubler rectified asymmetric half-bridge (CDRAHB) DC/DC converter via fuzzy integral control. First, we model the dynamic characteristics of the CDRAHB converter with the state-space averaging method, and after introducing an additional integral state of the output regulation error, we obtain the Takagi-Sugeno (TS) fuzzy model for the augmented system. Second, the concept of parallel distributed compensation is applied to the design of the TS fuzzy integral controller, in which the state feedback gains are obtained by solving the linear matrix inequalities (LMIs). Finally, numerical simulations of the considered design method are compared to those of the conventional method, in which a compensated error amplifier is designed for the stability of the feedback control loop.

A Line-integral Fuzzy Lyapunov Functional Approach to Sampled-data Tracking Control of Takagi-Sugeno Fuzzy Systems

  • Kim, Han Sol;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
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    • v.13 no.6
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    • pp.2521-2529
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    • 2018
  • This paper deals with a sampled-data tracking control problem for the Takagi-Sugeno fuzzy system with external disturbances. We derive a stability condition guaranteeing both asymptotic stability and H-infinity tracking performance by employing a newly proposed time-dependent line-integral fuzzy Lyapunov-Krasovskii functional. A new integral inequality is also introduced, by which the proposed stability condition is formulated in terms of linear matrix inequalities. Finally, the effectiveness of the proposed method is demonstrated through a simulation example.

SOME GENERALIZATIONS OF SUGENOS FUZZY INTEGRAL TO SET-VALUED MAPPINGS

  • Cho, Sung-Jin;Lee, Byung-Soo;Lee, Gue-Myung;Kim, Do-Sang
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.380-386
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    • 1998
  • In this paper we introduce the concept of fuzzy integrals for set-valued mappings, which is an extension of fuzzy integrals for single-valued functions defined by Sugeno. And we give some properties including convergence theorems on fuzzy integrals for set-valued mappings.

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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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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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A Fuzzy Trust Model incorporating Dispositional Trust, General Trust, Situational Trust and Reputation (기질신뢰, 일반신뢰, 상황신뢰, 명성을 고려한 퍼지 신뢰모델)

  • Lee, Keon-Myung;Lee, Kyung-Mi
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.6
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    • pp.653-658
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    • 2006
  • Trust can be defined as the level of subjective probability with which an agent will perform a particular action. This paper proposes a comprehensive fuzzy trust model which incorporates dispositional trust, general trust, and situational trust and reputation information. In the model, the preference degrees for the interaction outcomes with respect to the evaluation criteria are expressed in a fuzzy set, and Sugeno's fuzzy integral is employed to aggregate the satisfaction degrees with respect to the importance of evaluation criteria which can be assigned in a way to preserve the properties of the ${\lambda}-fuzzy$ measure.

A Study on Measuring RIQ (Robot Intelligence Quotient) using Fuzzy Integrral-based MIQ (Machine Intelligence Quotient) (퍼지 적분 기반 기계 지능 측정법을 이용한 로봇 지능의 측정에 관한 연구)

  • Jeong Jin-U;Han Jeong-Su;Kim Dae-Jin;Do Jun-Hyeong;Lee Hyeong-Uk;Byeon Jeung-Nam
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.05a
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    • pp.41-44
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    • 2006
  • 산업용 로봇으로부터 시작된 로봇에 관한 연구는 서비스 로봇에 대한 개념이 확산되면서 최근 폭발적으로 그 영역을 넓혀가고 있다. 또한, 인간과 함께 생활하는 서비스 로봇의 경우 로봇 스스로가 인간 및 환경을 이해하고 조작할 수 있어야 하므로 매우 높은 수준의 지능이 요구되고 있다. 이에 본 논문에서는 로봇의 지능이란 무엇인가라는 근본적인 문제에 대해 공학적인 측면에서 다루고자 한다. 구체적으로 기존의 개발된 로봇들을 통해 로봇의 지능을 구성하는 요소들을 분석해내고 이를 활용해 특정 로봇의 지능 수준을 측정하거나 또는 서로 다른 두 로봇 간의 지능들을 비교할 수 있는 척도에 대해 제시하고자 한다. 기존의 퍼지 적분 기반 기계 지능 측정법에서의 방법, 즉 Choquet 퍼지 적분과 Sugeno 퍼지 적분을 함께 사용함으로써 정량적/정성적인 판단을 동시에 진행하는 방법을 응용함으로써 인간의 IQ에 해당되는 로봇의 IQ 수치를 얻어낼 수 있게 된다.

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