In this paper, we introduce generalized essentially pseudoconvex function and generalized essentially quasiconvex function, and give sufficient optimality conditions of the nonsmooth generalized convex multi-objective...
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In this paper, we introduce generalized essentially pseudoconvex function and generalized essentially quasiconvex function, and give sufficient optimality conditions of the nonsmooth generalized convex multi-objective programming and its saddle point theorem about cone efficient solution. We set up Mond-Weir type duality and Craven type duality for nonsmooth multiobjective programming with generalized essentially convex functions, and prove them.
Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded un...
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Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded univex functions, a new class of functions that unifies several concepts of generalized convexity. In this paper, additional conditions are attached to the Kuhn Tucker conditions giving a set of conditions which are both necessary and sufficient for optimality in constrained optimization, under appropriate constraint qualifications.
Wolfe and Mond-Weir type duals for multiobjective variational problems are formulated. Under invexity assumptions on the functions involved weak and converse duality theorems are proved to relate efficient solutions/p...
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Wolfe and Mond-Weir type duals for multiobjective variational problems are formulated. Under invexity assumptions on the functions involved weak and converse duality theorems are proved to relate efficient solutions/properly efficient solutions of the primal and dual problems. A close relationship between these variational problems and nonlinear multiobjective programming problems is also indicated.
ABSTRACT: The surrogate worth tradeoff method is utilized for evaluation of alternative sewage sludge disposal systems for the Boston, Massachusetts, area. The two objectives incorporated into a decision‐making frame...
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Comprehensive quality evaluation is the measure of the members' comprehensive ability and the premise and foundation of improving the team's operation efficiency. How to accurately obtain the comprehensive qua...
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ISBN:
(纸本)9781728128177
Comprehensive quality evaluation is the measure of the members' comprehensive ability and the premise and foundation of improving the team's operation efficiency. How to accurately obtain the comprehensive quality of members has been a widely concerned issue in the academic and application fields. Taking cooperative performance as the main observation index, this paper proposes a comprehensive quality evaluation model based on cooperative performance, and analyzes the characteristics and shortcomings of this model. In order to solve the problem that the solution cannot be guaranteed, the method of multi objective programming is applied to give the solution strategy based on the deviation variable. Finally, the feasibility and effectiveness of the model are analyzed with a case study. Theoretical analysis and example calculation show that the model has good interpretability and operability, which not only improves the existing evaluation methods to a certain extent, but also has wide application value in the fields of resource allocation, artificial intelligence and recommendation system.
For a nonsmooth multiobjective nonlinear program which involves inequality and equality constraints. Fritz John and Kuhn-Tucker type sufficient optimality conditions are obtained. Some duality theorems are also establ...
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For a nonsmooth multiobjective nonlinear program which involves inequality and equality constraints. Fritz John and Kuhn-Tucker type sufficient optimality conditions are obtained. Some duality theorems are also established for Mond-Weir type of duals. All results are given under generalized convexity assumptions.
This paper presents a solution method for a class of multiobjective problems characterized by a hierarchical structure of decisionmaking and a large number of alternatives. The method, consisting of a multilevel probl...
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We establish the existence of Lagrange multipliers for general Pareto multiobjective mathematical programming problems in Banach spaces. Here the data are general nonsmooth strongly compactly Lipschitzian mappings. &#...
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