Issue:Semi linear equation with fuzzy parameters

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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: Atanassov K., Intuitionistic fuzzy sets, Fuzzy sets and Systems Vol. 20 (1986), No. 1, 87-96. 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. Dubois D. and Prade H., Fuzzy sets and systems, Academic Press, New York, (1980). Kaufmann A. and Gupta M., Introduction to fuzzy arithmetic : theory and applications, Van Nostran d Rehinold, New York, NY, (1985). Lessmann H., Mihlogger, Oberguggenberger M., Netzplantechnik mit unscharfen methoden, Bauingenieur, Spring Verlag, 69 (1994), 469-478. Nguyen H. T., A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 64 (1978), 369-380. Puri M. L., Differentials of fuzzy functions, J. Math. Anal. Appl., 91 (1983), 552-558. Ralescu D. and Adams G., The fuzzy integral, J. Math. Anal. Appl., 75 (1980), 562-570. Sanchez E., Solution of fuzzy equations with extended operations, Fuzzy Sets and Systems, North-Holland, 12 (1984), 237-248. Stoeva, M., Intuitionistic fuzzy numbers, M.Sc. thesis, Section of Mathematical Analysis, Department of Mathematics and Computer Science, Sofia University, 1999. Zadeh L. A., Fuzzy sets, Information and Control, 8, (1965), 338-353. Zimmermann, H.-J, Fuzzy sets theory and its applications, Kluwer, Dordrecht, 1993. Zimmermann, H.-J, Fuzzy sets, decision marketing and expert systems, Kluwer, Dardrecht, 1993. Citations: Issue:Introduction to intuitionistic fuzzy partial differential equations ‎ (← links) Issue:Intuitionistic fuzzy differential equation. Part 1 ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.