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Fuzzy Optimization and Decision Making

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08-05-2019

Multiple objective optimization for systems with addition–min fuzzy relational inequalities

Authors: Sy-Ming Guu, Yan-Kuen Wu

Published in: Fuzzy Optimization and Decision Making | Issue 4/2019

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Abstract

Fuzzy relational inequalities with addition–min composition have been proposed to model the data transmission mechanism in a BitTorrent-like peer-to-peer file-sharing system. In this paper, we consider a multiple objective optimization problem which allows system manager to consider three objectives (system congestion, cost, and penalty) simultaneously. A quadratic program is then proposed for finding its efficient solutions. Numerical examples are given to illustrate the procedures of the quadratic programming approach.

previous article A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations

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In general, the leecher \(A_i\) may send various qualities for different requests \(A_j\)s. But this really depends on the software/protocal which handles the file-sharing among peers. In this paper, we follow the settings from previous papers (see Guu and Wu 2017; Guu et al. 2018; Li and Yang 2012; Yang 2014; Yang et al. 2016) which obviously considered a simplified scenario that the leecher \(A_i\) only sends the same \(x_i\) to different \(A_j\)s.

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Title: Multiple objective optimization for systems with addition–min fuzzy relational inequalities
Authors: Sy-Ming Guu
Yan-Kuen Wu
Publication date: 08-05-2019
Publisher: Springer US
Published in: Fuzzy Optimization and Decision Making / Issue 4/2019
Print ISSN: 1568-4539
Electronic ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-019-09306-8

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