• Title/Summary/Keyword: semicontinuous

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The existence of a global solution for the nonlinear fuzzy differential equations in $E_N^{n_N}$ ($E_N^{n_N}$상의 비선형 퍼지 미분방정식에 대한 대역해의 존재성)

  • Kwun, Young-Chul;Kang, Jum-Ran;Park, Dong-Gun;Kim, Seon-Yu
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.1-4
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    • 2003
  • This paper we study the existence of a global solution for the nonlinear fuzzy differential equations in E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^{n}$ . .

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The exact controllability for the nonlinear fuzzy control system in $E_N^{n_N}$ ($E_N^{n_N}$ 상의 비선형 퍼지 제어시스템에 대한 제어가능성)

  • Kwun, Young-Chul;Park, Jong-Seo;Kang, Jum-Ran;Jeong, Doo-Hwan
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.5-8
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    • 2003
  • This paper we study the exact controllability for the nonlinear fuzzy control system in E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^{n}$ . fuzzy number of dimension n ; fuzzy control ; nonlinear fuzzy control system ; exact controllabilityty

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Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations (준선형 퍼지적분미분방정식에 대한 해의 존재성)

  • Gwon, Yeong-Cheol;Kim, Mi-Ju;Lee, Bu-Yeong
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.26-28
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in ${E_N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in ${E_N}$. Main tool is successive iteration method.

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ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF FUZZY RANDOM SETS

  • Joo, Sang-Yeol;Kim, Yun-Kyong;Kwon, Joong-Sung
    • Proceedings of the Korean Reliability Society Conference
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    • 2004.07a
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    • pp.177-182
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    • 2004
  • In this paper, we establish some results on almost sure convergence for sums and weighted sums of uniformly integrable fuzzy random sets taking values in the space of upper-semicontinuous fuzzy sets in $R^{p}$.

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Existence Results for the Nonlinear First Order Fuzzy Neutral Integrodifferential Equations

  • Radhakrishnan, Bheeman;Nagarajan, Murugesan;Narayanamoorthy, Samayan
    • Kyungpook Mathematical Journal
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    • v.53 no.1
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    • pp.87-98
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    • 2013
  • In this paper, we devoted to study the existence and uniqueness of nonlinear fuzzy neutral integrodifferential equations. Moreover we study the fuzzy solution for the normal, convex, upper semicontinuous, and compactly supported interval fuzzy number. The results are obtained by using the Banach fixed-point theorem. An example is provided to illustrate the theory.

The exact controllability for the nonlinear fuzzy control system in $E_N^{2_N}$ ($E_N^{2_N}$상의 비선형 퍼지 제어 시스템에 대한 완전 제어 가능성)

  • 권영철;강점란;박종서
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.39-42
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    • 2001
  • This paper we study the exact controllability for the nonlinear fuzzy control system in E$^{2}$$_{N}$ by using the concept of fuzzy number of dimension 2 whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^{2}$.>.

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On Fuzzy α-Weakly r-Continuous Mappings

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.3
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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.

The Concepts of Tightness for Fuzzy Set Valued Random Variables

  • Kim, Yun-Kyong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.2
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    • pp.147-153
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    • 2009
  • In this paper, we introduce several concepts of tightness for a sequence of random variables taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in $R^p$ and give some characterizations of their concepts. Also, counter-examples for the relationships between the concepts of tightness are given.

Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations using by Successive Iteration

  • Kwun, Young-Chel;Kim, Mi-Ju;Lee, Bu-Young;Park, Jin-Han
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.4
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    • pp.543-548
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$. Main tool is successive iteration method.