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

• Published in: Fuzzy optimization and decision making Vol. 18; no. 4; pp. 529 - 544
• Main Authors: Guu, Sy-Ming, Wu, Yan-Kuen
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2019; Springer Nature B.V
• Subjects: Artificial Intelligence; Calculus of Variations and Optimal Control; Optimization; Data transmission; Fuzzy systems; Inequalities; Mathematical Logic and Foundations; Mathematical models; Mathematics; Mathematics and Statistics; Multiple objective analysis; Nonlinear programming; Operations Research/Decision Theory; Optimization; Peer to peer computing; Probability Theory and Stochastic Processes; Quadratic programming; Fuzzy relational inequalities; Cost of transmission; Network congestion; Quadratic programming approach; Penalty cost; Addition–min composition
• ISSN: 1568-4539; 1573-2908
• DOI: 10.1007/s10700-019-09306-8

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.