Karush-Kuhn-Tucker conditions for fuzzy optimization problems based on constrained interval arithmetic
The fuzzy optimization problem with inequality constraints was studied,and an interval val-ue optimization problem equivalent to the original problem was constructed by using the cut-set.The obtained interval value optimization problem was transformed into an equivalent nonlinear optimiza-tion problem based on constrained interval arithmetic(CIA),so as to achieve the purpose of defuzzi-fication.Firstly,the derivative with the cut-set of the fuzzy coefficient function was defined,and the derivative of the fuzzy function was given using Zadeh's decomposition theorem.Secondly,under the positive linear independent constraint qualification,the Karush-Kuhn-Tucker(KKT)condition for the fuzzy optimization problem was established.Finally,the KKT condition is used to solve a fuzzy optimization problem.
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维普
