Pareto efficient solution and the class of \(\alpha\)-major efficient solutions
type: Item
instance of: scholarly article
title: Pareto efficient solution and the class of \(\alpha\)-major efficient solutions
zbMATH Open document ID: 0812.90131
published in: Chinese Science Bulletin
publication date: 1995-05-14T00:00:00Z
review text: With the help of a special class of orders induced by a nonconvex cone, we introduce a class of \(\alpha\)-major efficient solutions with the parameter \(\alpha\). This is a class of solutions with respect to making various more objectives noninferior. Because of this, these solutions are better than Pareto efficient solutions. In fact, we have proved that our solutions are Pareto efficient solutions of the same problem, but the converse is not true. In addition, an important sufficient and necessary condition about the solution is given in the paper and the characteristics of the solution set are discussed. Particularly we get: when \(\alpha\leq 1\), \(\alpha\)-major efficient solutions of multiobjective convex programming are unique provided they exist.
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 646693
zbMATH Keywords: orders induced by a nonconvex cone
zbMATH Keywords: \(\alpha\)-major efficient solutions
zbMATH Keywords: Pareto efficient solutions
author: Yuda Hu
MaRDI profile type: Publication
Recommended article: Approximation of a set of Pareto-optimal solutions
Recommended article: A polynomial-time algorithm for computing a Pareto optimal and almost proportional allocation
Recommended article: \(\alpha \)-maxmin solutions to fair division problems and the structure of the set of Pareto utility profiles
Recommended article: Convergence of the relative Pareto efficient sets
Recommended article: Q4712442
Recommended article: Pareto optimality and a class of set covering heuristics
Recommended article: On the generic uniqueness of Pareto-efficient solutions of vector optimization problems
Recommended article: Pareto optimality conditions for a class of multicriteria optimization problems
Recommended article: On the existence of Pareto efficient and envy-free allocations
Recommended article: Q5705717
description: scientific article; zbMATH DE number 646693