Fritz John Optimality Conditions for Interval-Valued Multi-Objective Functions Using gH-Symmetrical Derivative

Abstract

In this paper, we introduce the concept and applications of gH-symmetrical derivative for interval-valued multi-objective functions, which is the generalization of generalized Hukuhara derivative (gH-derivative). By a suitable example it has been shown that gH-symmetrically derivative is an extension of gH-derivative. Furthermore, we apply this new derivative to investigate the Fritz John type optimality conditions for interval-valued multiobjective programming problems. We use LR type of order relation in this context.