International Journal of Fuzzy Logic and Intelligent Systems

  • 제7권1호
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  • Pages.34-40
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  • 2007
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory

  • 발행 : 2007.03.01
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초록

Balasubramaniam and Muralisankar (2004) proved the existence and uniqueness of fuzzy solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial condition. Park et al. (2006) found the sufficient condition of this system. Recently, Kwun et al. (2006) proved the existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial conditions and forcing term with memory in $E_N$. In this paper, we study the controllability for this system by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

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참고문헌

  1. P. Balasubramaniam and S. Muralisankar, Existence and uniqueness of fuzzy solution for semilinear fuzzy integrodifferential equations with nonlocal conditions, International J. Computer & Mathematics with applications 47 (2004), 1115-1122 https://doi.org/10.1016/S0898-1221(04)90091-0
  2. P. Diamand and P.E. Kloeden, Metric space of Fuzzy sets, World Scientific (1994)
  3. O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems 24 (1987), 301-317 https://doi.org/10.1016/0165-0114(87)90029-7
  4. Y.C. Kwun and D.G. Park, Optimal control problem for fuzzy differential equations, Proceedings of the Korea-Vietnam Joint Seminar (1998), 103-114
  5. Y.C. Kwun, J.S. Park, S.Y. Kim and J.H. Park, Existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal conditions and forcing term with memory, International J. of Fuzzy Logic and Intelligent Systems 6 (2006), 288-292 https://doi.org/10.5391/IJFIS.2006.6.4.288
  6. M. Mizmoto and K. Tanaka, Some properties offuzzy numbers, Advances in Fuzzy Sets Theory and applications, North-Holland Publishing Company (1979), 153-164
  7. J.H. Park, J.S. Park and Y.C. Kwun, Controllability for the semilinear fuzzy integrodifferential equations with nonlocal conditions, Lecture Notes in Artificial Intelligence 4223 (2006), 221-230 https://doi.org/10.1007/11881599_25
  8. S. Seikkala, On the fuzzy initial value problem, Fuzzy Sets and Systems 24 (1987), 319-330 https://doi.org/10.1016/0165-0114(87)90030-3