• 제목/요약/키워드: nonlinear fuzzy integro-differential equation

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$E_N^{n_N}$상의 비선형 퍼지 Integro 미분방정식에 대한 제어가능성 (Controllabi1ity of the nonlinear Fuzzy Integro-Differential Equation on $E_N^{n_N}$)

  • Kwun, Young-Chel;Park, Dong-Gun;Son, Ki-Do;Jeong, Doo-Hwan
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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    • pp.345-350
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    • 2004
  • In this paper we study the controllability for the nonlinear fuzzy integro-differential equations on E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^n$. E$_{N}$$^{n}$ be the set of all fuzzy numbers in R$^n$ with edges having bases parallel to axis X$_1$, X$_2$, …, X$_{n}$ .X> .

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Existence and Uniqueness of Fuzzy Solutions for the nonlinear Fuzzy Integro-Differential Equation on EnN

  • Kwun, Young-Chel;Han, Chang-Woo;Kim, Seon-Yu;Park, Jong-Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제4권1호
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    • pp.40-44
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    • 2004
  • In this paper we study the existence and uniqueness of fuzzy solutions for the nonlinear fuzzy integro-differential equations on $E^{n}_{N}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in $E^{n}_{N}$. $E^{n}_{N}$ be the set of all fuzzy numbers in $R^{n}$ with edges having bases parallel to axis $x_1$, $x_2$, …, $x_n$.

Controllability of the nonlinear Fuzzy Integro-Differential Equations on EnN

  • Kwun Young-Chel;Park Dong-Gun;Ahn Young-Chul
    • 한국지능시스템학회논문지
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    • 제15권5호
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    • pp.621-625
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    • 2005
  • In this paper we study the controllability for the nonlinear fuzzy integro-differential equations on $E_N^n$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in $R^n$. $E_N^n$ the set of all fuzzy numbers in $R^n$ with edges having bases parallel to axis $X_1,\;X_2, ... , X_n$.