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Multiple Criteria Optimization: Theory, Computation, and Application
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Mathematical Background Topics from Linear Algebra Single Objective Linear Programming Determining all Alternative Optima Comments about Objective Row Parametric Programming Utility Functions, Nondominated Criterion Vectors and Efficient Points Point Estimate Weighted-sums Approach.Abstract:
Mathematical Background Topics from Linear Algebra Single Objective Linear Programming Determining all Alternative Optima Comments about Objective Row Parametric Programming Utility Functions, Nondominated Criterion Vectors and Efficient Points Point Estimate Weighted-sums Approach Optimal Weighting Vectors, Scaling and Reduced Feasible Region Methods Vector-Maximum Algorithms Goal Programming Filtering and Set Discretization Multiple Objective Linear Fractional Programming Interactive Procedures Interactive Weighted Tchebycheff Procedure Tchebycheff/Weighted-Sums Implementation Applications Future Directions Index.read more
Citations
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Book ChapterDOI
A perfectness concept for multicriteria games
TL;DR: In this article, a refinement of Pareto equilibria based on the perfectness concept of Selten (1975) is introduced, and the existence of perfect Paretto equilibrium for games with vector payoffs is shown.
Journal ArticleDOI
Multi-objective optimization problems with Fuzzy relation equation constraints regarding max-average composition
Esmaile Khorram,H. Zarei +1 more
TL;DR: A multiple objective optimization model subject to a system of fuzzy relation equations with max-average composition and a reduction procedure in order to reduce problem dimension are presented.
Proceedings Article
A Parallel Plugin-Based Framework for Multi-objective Optimization.
TL;DR: The plugin-based architecture of the framework minimizes the final user effort required to incorporate their own problems and evolutionary algorithms, and facilitates the tool maintenance, and demonstrates the efficiency of the provided parallel implementation.
Journal ArticleDOI
Two-Step Interactive Satisfactory Method for Fuzzy Multiple Objective Optimization With Preemptive Priorities
Shaoyuan Li,Chaofang Hu +1 more
TL;DR: This paper presents a two-step interactive satisfactory optimization method for fuzzy multiple objective optimization with preemptive priorities that guarantees the order of satisfactory degrees consistent with priorities.
Journal ArticleDOI
Mining Undominated Association Rules Through Interestingness Measures
Slim Bouker,Slim Bouker,Slim Bouker,Rabie Saidi,Sadok Ben Yahia,Sadok Ben Yahia,Engelbert Mephu Nguifo,Engelbert Mephu Nguifo +7 more
TL;DR: This work proposes a novel approach to discover interesting association rules without favoring or excluding any measure by adopting the notion of dominance between association rules, which bypasses the problem of measure heterogeneity and unveils a compromise between their evaluations.