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Meaning of the Rational Solution Obtained by Game Theory in a Multi-Objective Electromagnetic Apparatus Design Problem

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Title: Meaning of the Rational Solution Obtained by Game Theory in a Multi-Objective Electromagnetic Apparatus Design Problem
Authors: Noguchi, So Browse this author →KAKEN DB
Miyamoto, Tomoyuki Browse this author
Matsutomo, Shinya Browse this author
Keywords: Game theory
multi-objective optimization
optimal design
Pareto optimum
Issue Date: Feb-2014
Publisher: IEEE
Journal Title: IEEE Transactions on Magnetics
Volume: 50
Issue: 2
Start Page: 7016004
Publisher DOI: 10.1109/TMAG.2013.2281848
Abstract: The optimization method is often used for designing the configuration of electromagnetic apparatuses in order to enhance performance. Many optimal design methods have been developed and popularized. However, most of the optimal design methods can only take into account a single objective function. Therefore, when the problem has a few purposes, a weighted summed objective function is usually employed. Recently, we have proposed a new method, taking into account the multiple purposes simultaneously and individually. The proposed method can select one rational solution from among the Pareto optima, based on the game theory. However, the meaning of the selected rational solution is unclear. Therefore, the meaning is investigated by calculating the weight parameters of the weighted summed objective function so that the optimal solution of the weighted summed objective function is identical to the rational solution of the game theory. We can intuit the meaning of the rational solution by comparing the weight parameters.
Rights: © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Type: article (author version)
URI: http://hdl.handle.net/2115/56402
Appears in Collections:情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 野口 聡

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