Min-Max Programming Problem Subject to Addition-Min Fuzzy Relation Inequalities

作     者：Yang, Xiao-Peng Zhou, Xue-Gang Cao, Bing-Yuan 

作者机构：Guangzhou Univ Sch Math & Informat Sci Guangzhou 510006 Guangdong Peoples R China Hanshan Normal Univ Dept Math & Stat Chaozhou 521041 Peoples R China Guangdong Univ Finance Dept Appl Math Guangzhou 510521 Guangdong Peoples R China Guangzhou Vocat Coll Sci & Technol Guangzhou 510550 Guangdong Peoples R China 

出 版 物：《IEEE TRANSACTIONS ON FUZZY SYSTEMS》 (IEEE Trans Fuzzy Syst)

年 卷 期：2016年第24卷第1期

页      面：111-119页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Natural Science Foundation of Guangdong Province, China [S2013040012506] China Postdoctoral Science Foundation [2014M562152] Innovation Capability of Independent Innovation to Enhance the Class of Building Strong School Projects of Colleges of Guangdong Province 

主　　题：Addition-min composition bitTorrent-like P2P file-sharing system fuzzy relation equation fuzzy relation inequalities min-max programming 

摘      要：A BitTorrent-like peer-to-peer file-sharing system can be reduced into a system of addition-min fuzzy relation inequalities. Addition-min is a new composition, and the solution set of addition-min fuzzy relation inequalities differs much from that of general max-t-norm fuzzy relation inequalities or equations. In order to avoid network congestion and improve the stability of data transmission, a min-max programming problem is proposed subject to addition-min fuzzy relation inequalities in this paper. Based on some relevant theorems on resolution, a novel algorithm is developed step by step to find an optimal solution of the proposed problem. Moreover, an application example is given to illustrate the feasibility and efficiency of the algorithm. Finally, some further discussions are made concerning the optimal solution of the proposed problem.