International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Existence and Uniqueness of Fuzzy Solutions for the nonlinear Fuzzy Integro-Differential Equation on EnN

  • Kwun, Young-Chel (Department of mathematics, Dong-A University) ;
  • Han, Chang-Woo (Department of mathematics, Dong-A University) ;
  • Kim, Seon-Yu (Department of Mathematics Education, Chinju National University of Education) ;
  • Park, Jong-Seo (Department of Mathematics Education, Chinju National University of Education)
  • Published : 2004.06.01
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Abstract

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 $x_1$, $x_2$, …, $x_n$.

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