DocumentCode
2756744
Title
Linear differential equations with fuzzy boundary values
Author
Gasilov, Nizami ; Amrahov, Sahin Emrah ; Fatullayev, Afet Golayoglu
Author_Institution
Baskent Univ., Ankara, Turkey
fYear
2011
fDate
12-14 Oct. 2011
Firstpage
1
Lastpage
5
Abstract
In this study, we consider a linear differential equation with fuzzy boundary values. We express the solution of the problem in terms of a fuzzy set of crisp real functions. Each real function from the solution set satisfies differential equation, and its boundary values belong to intervals, determined by the corresponding fuzzy numbers. The least possibility among possibilities of boundary values in corresponding fuzzy sets is defined as the possibility of the real function in the fuzzy solution.
Keywords
boundary-value problems; fuzzy set theory; linear differential equations; number theory; crisp real functions; fuzzy boundary values; fuzzy set theory; linear differential equations; linear transformations; triangular fuzzy numbers; Boundary value problems; Differential equations; Equations; Fuzzy sets; Linear systems; Mathematical model; Vectors; fuzzy boundary value problem; fuzzy set; linear transformation;
fLanguage
English
Publisher
ieee
Conference_Titel
Application of Information and Communication Technologies (AICT), 2011 5th International Conference on
Conference_Location
Baku
Print_ISBN
978-1-61284-831-0
Type
conf
DOI
10.1109/ICAICT.2011.6111018
Filename
6111018
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