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We consider an interval-valued multiobjective problem. Some necessary and sufficient optimality conditions for weak efficient solutions are established under new generalized convexities with the tool-right upper-Dini-derivative, which is an extension of directional derivative. Also some duality results are proved for Wolfe and Mond-Weir duals.

the scientific world journal/thescientificworldjournal

Interval-Valued Optimization Problems Involving<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mfenced separators="|"><mml:mrow><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math>-Right Upper-Dini-Derivative Functions

Interval-Valued Optimization Problems Involvingα,ρ-Right Upper-Dini-Derivative Functions