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OPTIMALITY CONDITIONS AND DUALITY THEOREMS IN NONCONICAL MULTIOBJECTIVE PROGRAMMING
Multiobjective programming nonconical o
2007/12/17
摘要 This paper is concerned with the nonconical multiobjective programming proly fern. By virtue of the derivate of a binary relation, the sufficient and necessary optimality conditions are presented, ...
NECESSARY CONDITIONS FOR MAJOR OPTIMAL SOLUTIONS AND MAJOR EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING
Multiobjective programming major optima
2007/12/10
摘要 In this papers the Fritz John conditions and Kuhn-Tucker conditions for majoroptimal solutions and major efficient solutions of multiobjective programming are givenand proved.
Major efficiency is an efficiency theory of multiobjective programming, whichis based on the law of majority. For the case that the feasible region is a finite set, paper [3] gave a comparison-number ...
NONCONICAL N0NSMOOTH MULTIOBJECTIVE PROGRAMMING-OPTIMALITY CONDITIONS AND DUALITY THEOREMS
Binary relation generalized directional
2007/8/7
This paper deals with Nonconical Nonsmooth Multiobjective Programming Problem. The generalized directional derivate of a mapping w.r.t a binary relation and the derivate of a binary relation are intro...
THE COMPARISON-NUMBER METHOD FOR FINDING MAJOR OPTIMAL SOLUTIONS AND MAJOR EFFICIENT SOLUTIONS OF THE DISCRETE MULTIOBJECTIVE PROGRAMMING
Multiobjective programming Pareto effici
2007/8/7
In this paper, we introduce the comparison number for one feasible solutioncompared with another. With the help of it the comparison-number method for finding the major optimal solutions aud major eff...
OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING
multiobjective programming generalized
2007/8/7
In this paper, a separation theorem is established firstly. Applying this theorem the relationships between the solutions of a series of inequality systems are discussed. Then a necessary optimality c...
In this paper we discuss necessary conditions in multiobjective differentiable programming. We first give a counterexample to [1,Theorem 2.1] and then present its correct form with which we can easily...