Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Asymptotic Behavior of Solutions for the Delay Semilinear Fuzzy Integrodifferential Systems

  • 권영철 (동아대학교 자연과학대학 수학과) ;
  • 박동근 (동아대학교 자연과학대학 수학과) ;
  • 이부영 (동아대학교 자연과학대학 수학과) ;
  • 황진수 (대구대학교 수학교육과)
  • Received : 2010.10.21
  • Accepted : 2010.11.27
  • Published : 2010.12.25
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Abstract

In this paper, we study the asymptotic behavior of solutions for the delay semilinear fuzzy integrodifferential systems on $E^1_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E^1_N$.

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References

  1. P. Balasubramaniam and S. Muralisankar, "Existence and uniqueness of fuzzy solution for semilinear fuzzy integrodifferential equations with nonlocal conditions," An Internatinal J. Computer & Mathematics with applications, 47, pp. 1115 - 1122, 2004. https://doi.org/10.1016/S0898-1221(04)90091-0
  2. B. Bede and S. G. Gal, "Almost periodic fuzzynumber-valued functions," Fuzzy set and Systems 147,pp. 385 -403, 2004. https://doi.org/10.1016/j.fss.2003.08.004
  3. P. Diamand and P. E. Kloeden, "Metric space of Fuzzy sets", World scientific, 1994.
  4. S. G. Gal and G. M. N'Guerekata, "Almost automorphic fuzzy-number-valued functions", Journal of Fuzzy Mathematics, Vol. 13, No.1, pp. 185 - 208, 2005.
  5. O. Kaleva, "Fuzzy differential equations", Fuzzy set and Systems, 24, pp. 301 - 317, 1987. https://doi.org/10.1016/0165-0114(87)90029-7
  6. Y. C. Kwun and D. G. Park, "Optimal control problem for fuzzy differential equations", Preceedings of the Korea-Vietnam Joint Seminar, pp.103 - 114, 1998.
  7. Y. C. Kwun, M. J. Kim, B. Y. Lee and J. H. Park,"Existence of solutions for the semilinear fuzzy inte-grodifferential equations using by succesive iteration", Journal of Korean Institute of Intelligent Systems, 18, pp.543 - 548, 2008 https://doi.org/10.5391/JKIIS.2008.18.4.543
  8. Y. C. Kwun, M. J. Kim, J. S. Park and J. H. Park,"Continuously initial observability for the semilinear fuzzy integrodifferential equations", Fuzzy Sys. Know. Dis. 1, pp. 225-229, 2008.
  9. Y. C. Kwun, J. S. Kim, M. J. Park and J. H. Park,"Nonlocal controllability for the semilinear fuzzy inte-grodifferential equations in n-dimensional fuzzyvector space", Hindawi Pub. Corp. 2009, ArticleID 734090, 2009.
  10. J. H. Park, J. S. Park and Y. C. Kwun, "Controllability for the semilinear fuzzy integrodifferential equations with nonlocal conditions", Lecture Notes in Artificial Intelligen ce 4223, pp.221- 230, 2006.
  11. J. H. Park, J. S. Park, Y. C. Almand Y. C. K wun,"Controllability for the impulsive semilinear fuzzy integrodifferential equations", Advances in Soft Computing 40, pp.704 - 713, 2007. https://doi.org/10.1007/978-3-540-71441-5_76
  12. M. Mizmoto and K. Tanaka, "Some properties of fuzzy numbers", Advances in Fuzzy Sets Theory and applications, North-Holland Publishing Company, pp. 153 - 164, 1979.
  13. S. Seikkala, "On the fuzzy initial value problem," Fuzzy Sets and Systems, 24, pp. 319 - 330, 1987 https://doi.org/10.1016/0165-0114(87)90030-3
  14. G. Wang, Y. Li and C. Wen, "On fuzzy n-cell number and n-dimension fuzzy vectors", Fuzzy Sets and Systems 158, pp. 71 - 84, 2007 https://doi.org/10.1016/j.fss.2006.09.006