Master'sOpen Access

About the numerical solutions of fuzzy differential equations

2008
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Advisor: Prof. Dr. Necdet Bildik

Abstract (EN)

In this study firstly general information about terms such as Fuzzy Concept, Alfa -Cuts,Equalities and Discrete Fuzzy Sets, Fuzzy Arithmetic , Extension Principle, Interval Arithmetic,Fuzzy Functions ,Fuzzy Differences and Possibility Theory was given.In the findings of this study Fuzzy Linear Equations, Fuzzy Kuadratic Equations and FuzzyLinear Equation System applications were proved. Also this study introduce three solutionconcept for fuzzy equations : (1) the classical solutions (2)extension principle solution and (3)the -cut and interval arithmetic solution . In addition two solutions the classical and theextension principle to elemantary fuzzy partial differential equations were considered.We areable to to fuzzify both the boundary conditions and non-homogeneous part of the equation.We showed, if all the constants in the partial differential operator are positive that theClassical solution is more general than the extension principle solution

Author

Demet Özgür

How to Cite

Demet Özgür (Master Thesis). About the numerical solutions of fuzzy differential equations, 2008, Manisa Celal Bayar University.

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