极小解法求解最大-最小型关系方程的系统研究  

Systematically Study on Solving Max-min Fuzzy Relation Equation by Minimal Solution

作　　者：柴中林[1] 

机构地区：[1]中国计量学院理学院,浙江杭州310018

出　　处：《模糊系统与数学》2012年第1期79-83,共5页Fuzzy Systems and Mathematics

摘　　要：最大-最小型关系方程已有许多学者进行过研究并给出一些解法,这些解法在应用中仍显得过于复杂。本文在文献[1]的基础上对最大-最小型关系方程的极小解的性质和特点进行了系统的研究,并对文献[1]提出的求解这类方程的图法和分枝法在理论上进行了补充和完善。研究表明,图法和分枝法是求解最大-最小型关系方程的有效方法。Max-min fuzzy relation equation has been investigated by many scholars, and many solving methods have been presented, but these methods are still too complicated in applications. Based on reference [1], this paper studies the properties and characteristic of minimal solution of max-rnin relation equation systematically, complements and perfects the graph and branch method presented in it in theory to find the minimal solution set of the equation. The results show that the graph and branch method are two effective methods to solve max-min fuzzy relation equation.

关 键 词：最大-最小型关系方程 极小解 Fuzzy图 分枝法 

分 类 号：O159[理学—数学]