• 제목/요약/키워드: Fuzzy mapping

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Fuzzy Inverse Kinematics Mapping을 이용한 로봇의 지능제어에 관한 연구 (The study on the Intelligent Control of Robot using Fuzzy Inverse Kinematics Mapping)

  • 김관형;이상배
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
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    • pp.166-171
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    • 1996
  • Generally, when we control the robot, we should calculate exactly Inverse Kinematics. However, Inverse Kinematics calculation is complex and it takes much time for the manipulator to control in real-time. Therefore, the calculation of Inverse Kinematics can result in significant control delay in real time. In this paper, we will present that Inverse Kinematics can be calculated through Fuzzy Logic Mapping, Based on an exact solution through fuzzy reasoning instead of Inverse Kinematics calculation Also, the result provides sufficient precision and transient tracking error can be controlled based on a fuzzy adaptive scheme proposed in this paper. Based on the Denavit-Hartenberg parameters specification, after the Jacobian matrix of arbitrary manipulator is calculated, we will construct Fuzzy Inverse Kinematics Mapping(FIKM) using fuzzy logic and represent a good control efficiency through simulation of 2-DOF manipulator.

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INTUITIONISTIC FUZZY SEMI-PREOPEN SETS AND INTUITIONISTIC FUZZY SEMI-PRECONTINUOUS MAPPINGS

  • JUN YOUNG BAE;SONG SEOK-ZUN
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.467-474
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    • 2005
  • Using the notion of intuitionistic fuzzy sets, the concept of intuitionis tic fuzzy semi-preopen sets and intuitionistic fuzzy semi-pre-continuous mappings are introduced. The relation between an intuitionistic fuzzy precontinuous ma pping and an intuitionistic semi-precontinuous mapping is given. Characterizations of intuitionistic fuzzy semi-preopen sets and intuitionist ic fuzzy semi-precontinuous mappings are given.

On Fuzzy α-Weakly r-Continuous Mappings

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권3호
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    • pp.228-231
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    • 2009
  • In this paper, we introduce the concept of fuzzy $\alpha$-weakly r-continuous mapping on a fuzzy topological space and investigate some properties of such a mapping and the relationships among fuzzy $\alpha$-weakly r-continuity, fuzzy r-continuity and fuzzy weakly r-continuity.

Fuzzy (r, s)-pre-semicontinuous mappings

  • Lee, Seok-Jong;Kim, Jin-Tae;Eoum, Youn-Suk
    • 한국지능시스템학회논문지
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    • 제18권3호
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    • pp.406-411
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    • 2008
  • In this paper, we introduce the concept of fuzzy (r, s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The concepts of fuzzy (r, s)-pre-semineighborhood and fuzzy (r, s)-quasi-pre-semineighborhood are given. The characterizations for the fuzzy (r, s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r, s)-pre-semiopen and fuzzy (r, s)-pre-semiclosed mappings, and then we investigate some of their characteristic properties.

CONVERGENCE THEOREMS FOR DENJOY-PETTIS INTEGRABLE FUZZY MAPPINGS

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제18권3호
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    • pp.229-241
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    • 2010
  • In this paper, we introduce the Denjoy-Pettis integral of fuzzy mappings in Banach spaces and obtain some properties of the Denjoy-Pettis integral of fuzzy mappings and the convergence theorems for Denjoy-Pettis integrable fuzzy mappings.

FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE FUZZY MAPPINGS

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • 제9권1호
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    • pp.433-440
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    • 2002
  • In this paper, we first prove the existence of fixed points for fuzzy mappings that satisfy a certain contractive condition. Also, we give a fixed point theorem for generalized contractive fuzzy mapping by using Caristi's by fixed point theorem.

ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES

  • Park, Chun-Kee
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권3호
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    • pp.315-326
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    • 2009
  • In this paper, we introduce Debreu integral of fuzzy mappings in Banach spaces in terms of the Debreu integral of set-valued mappings, investigate properties of Debreu integral of fuzzy mappings in Banach spaces and obtain the convergence theorem for Debreu integral of fuzzy mappings in Banach spaces.

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