Addition-Max合成模糊关系不等式系统的极大解  

Resolutions of Fuzzy Relational Inequalities with Addition-Max Composition

作　　者：黄柯 熊清泉[1] HUANG Ke;XIONG Qing-quan(Department of Mathematics,Sichuan Normal University,Chengdu 610066,China)

机构地区：[1]四川师范大学数学与软件科学学院,成都四川610066

出　　处：《模糊系统与数学》2018年第6期106-116,共11页Fuzzy Systems and Mathematics

基　　金：四川省科技厅应用基础项目(2016JY0235);四川省教育厅重点项目(16ZA0053)

摘　　要：本文基于产品工艺设计策略这一背景讨论Addition-Max合成模糊关系不等式系统,得出该系统解集的基本形式,并得出其极大解满足的一个充要条件,相应地提出求解一个极大解的算法,并通过数值实例验证。We discuss fuzzy relational inequalities with Addition-Max composition,which extract from design of product process.Based on this system,we obtain a representation of its solutions and some results.And then,we meet a necessity and sufficient condition for a maximal solution and we propose an algorithm to obtain a maximal solution.At last,a numerical example is presented.

关 键 词：模糊关系不等式 Addition-Max合成算子 极大解 

分 类 号：O172[理学—数学]