FUZZY TWO POINT BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE

FUZZY TWO POINT BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE

T. Ceylan

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Abstract

In this study, we have propose a new method for solving fuzzy two point boundary value problem (FTPBVP) with certain types of fuzzy boundary conditions commonly encountered. We have investigate linear di erential equations with boundary values expressed by fuzzy numbers and we search for a fuzzy set of real functions as the solution. We have found the fuzzy solution which is obtained from solution of crisp problem by the application of the extension principle. Then we have validated the method by solving an example.

Keywords

fuzzy boundary value problem, fuzzy eigenfunction, fuzzy coe cients, extension principle.