Necessary optimality conditions for fuzzy variational problems

Authors:
B. Farhadinia
Affiliations:
Dept. Math., Quchan Institute of Engineering and Technology, Quchan, Iran
Venue:
Information Sciences: an International Journal
Year:
2011

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IUKM'11 Proceedings of the 2011 international conference on Integrated uncertainty in knowledge modelling and decision making

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Abstract

The main aims of this study are to derive the fuzzy Euler-Lagrange conditions for both fuzzy unconstrained and constrained variational problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its @a-level sets.