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Necessary optimality conditions for fuzzy variational problems
Authors:B. Farhadinia
Affiliation:Dept. Math., Quchan Institute of Engineering and Technology, Quchan, Iran
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 α-level sets.
Keywords:Fuzzy variational problems   Fuzzy Euler-Lagrange conditions     mmlsi2"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0020025510005724&  _mathId=si2.gif&  _pii=S0020025510005724&  _issn=00200255&  _acct=C000051805&  _version=1&  _userid=1154080&  md5=ba2fea1eaad1b2a2224704ba98a2f0b5')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >α-level sets
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