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	\| abstract = In this paper we ~~studie~~ 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.		\| 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		\| keywords = Fuzzy partition, [[intuitionistic fuzzy sets]], measures of contradiction, intuitionistic fuzzy logic, many valued logic
	\| references =		\| references =

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	\| title = Semi linear equation with fuzzy parameters		\| title = Semi linear equation with fuzzy parameters
	\| shortcut = nifs/05/4/42-47		\| shortcut = nifs/5/4/42-47
	}}		}}
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Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Semi linear equation with fuzzy parameters | shortcut = nifs/05/4/42-47 }} {{issue/author | author = Said Melliani | institution = Department of Applied Mathematics and Informatics, Facu..."

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[[Category:Publications in 1999 year|{{PAGENAME}}]]
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{{issue/title
| title = Semi linear equation with fuzzy parameters
| shortcut = nifs/05/4/42-47
}}
{{issue/author
| author = Said Melliani
| institution = Department of Applied Mathematics and Informatics, Faculty of Sciences and Technics
| address = B.P 523 Béni Mellal Morocco
| email-before-at = melliani
| email-after-at = fstbm.ac.ma
}}
{{issue/data
| conference = Third [[ICIFS|International Conference on IFSs]], Sofia, 16-17 October 1999
| issue = [[Notes on Intuitionistic Fuzzy Sets/05/4|"Notes on Intuitionistic Fuzzy Sets", Volume 5 (1999) Number 4]], pages 42—47
| file = NIFS-05-4-42-47.pdf
| format = PDF
| size = 3925
| abstract = In this paper we studie 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 =
| see-also =
}}

Issue:Semi linear equation with fuzzy parameters - Revision history

Vassia Atanassova at 17:23, 16 August 2024

Vassia Atanassova at 17:23, 16 August 2024