模糊关系不等式给定解的灵敏度分析  

Sensitivity Analysis of a Given Solution in the Fuzzy Relation Inequalities

作　　者：杨晓鹏 吴嘉奇 王枝宁 YANG Xiaopeng;WU Jiaqi;WANG Zhining(School of Mathematics and Statistics,Hanshan Normal University,Chaozhou 521041,Guangdong,China)

机构地区：[1]韩山师范学院数学与统计学院,广东潮州521041

出　　处：《昆明理工大学学报(自然科学版)》2025年第1期222-230,共9页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：国家自然科学基金面上项目(12271132);广东省自然科学基金项目(2024A1515010532);广东省教育厅科研项目(2023KQNCX041,2024ZDZX1027).

摘　　要：点对点网络系统中的流量控制恰好可以由一组含max-min合成算子的模糊关系不等式刻画.点对点网络系统中某一可行的流量控制方案,对应着相应的max-min模糊关系不等式的给定解.为了探讨可行流量控制方案的稳定性,作者定义了相应的解的灵敏度,并给出可行的求解方法,分别设计正灵敏度和负灵敏度的求解步骤,然后通过正、负灵敏度得到灵敏度.The flow control in a Peer-to-Peer(P2P)network system can be characterized by a set of fuzzy relation inequalities with max-min composition.Any feasible flow control scheme in the P2P network system is indeed a given solution of the corresponding max-min fuzzy relation inequalities.In order to investigate the stability of the feasible flow control scheme,this paper defines the sensitivity of the corresponding solution and provides feasible resolution methods.We design the solution procedures for both the positive sensitivity and negative sensitivity respectively,and then obtains the sensitivity through the positive and negative sensitivities.

关 键 词：模糊关系不等式 max-min合成算子 给定解 灵敏度 

分 类 号：O159[理学—数学] O178[理学—基础数学]