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Multiple Criteria Optimization: Theory, Computation, and Application

R. S. Laundy
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TLDR
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.

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Journal ArticleDOI

Integrating Approximation and Interactive Decision Making in Multicriteria Optimization

TL;DR: A new interactive hybrid approach for solving multicriteria optimization problems where features of approximation methods and interactive approaches are incorporated and the decision maker iteratively directs the search toward the best nondominated solution.
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Renewable energy systems: A societal and technological platform

TL;DR: In this paper, the issue of decomposition analysis is clarified, and a new agenda for the societal and technological decomposition of renewable energy systems is developed, with the simultaneous inclusion of decision analysis and social acceptance methods and tools in concert with related public participation techniques.
Proceedings ArticleDOI

Fuzzy sets and approximate reasoning in decision and control

TL;DR: It is shown that, by providing an ordering over the criteria, a fair procedure can be obtained for aggregation of linear orders for fuzzy MCDM, the basic methodology for representing multicriterion decision-making functions with fuzzy sets.
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Design and operation of intermodal transportation network in the Marmara region of Turkey

TL;DR: In this paper, a multi-objective optimization model for integrating different transportation modes in the design and operation of an intermodal transportation network in a geographical region is presented, where the problem is formulated as a mixed-integer optimization problem that accounts for time and congestion dependent vehicle speeds.
Proceedings ArticleDOI

Searching for knee regions in multi-objective optimization using mobile reference points

TL;DR: A new updating strategy for a reference points based multi-objective evolutionary algorithm which forces this latter to focus on knee regions is proposed which uses a set of mobile reference points guiding the search towards knee regions.