As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.

Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:Semi linear equation with fuzzy parameters

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/5/4/42-47
Title of paper: Semi linear equation with fuzzy parameters
Author(s):
Said Melliani
Department of Applied Mathematics and Informatics, Faculty of Sciences and Technics, B.P 523 Béni Mellal Morocco
melliani@fstbm.ac.ma
Presented at: Third International Conference on IFSs, Sofia, 16-17 October 1999
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 5 (1999) Number 4, pages 42—47
Download:  PDF (3925  Kb, File info)
Abstract: In this paper we studied the solution concept for a semi linear equation with fuzzy parameters. The extension principle described by L. A. Zadeh [11] provides a natural way for obtaining the notion of fuzzy solution. The fuzzy extension of the solution operator is shown to provide the unique solution in the former case.
Keywords: Fuzzy partition, intuitionistic fuzzy sets, measures of contradiction, intuitionistic fuzzy logic, many valued logic
References:
  1. Atanassov K., Intuitionistic fuzzy sets, Fuzzy sets and Systems Vol. 20 (1986), No. 1, 87-96.
  2. Burillo, P., H. Bustince, and V. Mohedano, Some definitions of intuitionistic fuzzy number. First properties, Proc. of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, Sept. 28-30, 1994, 53-55.
  3. Dubois D. and Prade H., Fuzzy sets and systems, Academic Press, New York, (1980).
  4. Kaufmann A. and Gupta M., Introduction to fuzzy arithmetic : theory and applications, Van Nostran d Rehinold, New York, NY, (1985).
  5. Lessmann H., Mihlogger, Oberguggenberger M., Netzplantechnik mit unscharfen methoden, Bauingenieur, Spring Verlag, 69 (1994), 469-478.
  6. Nguyen H. T., A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 64 (1978), 369-380.
  7. Puri M. L., Differentials of fuzzy functions, J. Math. Anal. Appl., 91 (1983), 552-558.
  8. Ralescu D. and Adams G., The fuzzy integral, J. Math. Anal. Appl., 75 (1980), 562-570.
  9. Sanchez E., Solution of fuzzy equations with extended operations, Fuzzy Sets and Systems, North-Holland, 12 (1984), 237-248.
  10. Stoeva, M., Intuitionistic fuzzy numbers, M.Sc. thesis, Section of Mathematical Analysis, Department of Mathematics and Computer Science, Sofia University, 1999.
  11. Zadeh L. A., Fuzzy sets, Information and Control, 8, (1965), 338-353.
  12. Zimmermann, H.-J, Fuzzy sets theory and its applications, Kluwer, Dordrecht, 1993.
  13. Zimmermann, H.-J, Fuzzy sets, decision marketing and expert systems, Kluwer, Dardrecht, 1993.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.