多变量Fuzzy关系方程组及其不等式组的解  

SOLUTION OF SYSTEMS OF MULTIVARIABLE FUZZY RELATIONAL EQUATIONS AND INEQUALITIES

作　　者：孙永忠[1] 李中夫[2] 

机构地区：[1]山西吕梁高等专科学校数学系,离石033000 [2]四川联合大学数学研究所,成都610064

出　　处：《系统科学与数学》1998年第3期279-283,共5页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金

摘　　要：G．M．Trojan等（1987年）讨论了多变量Fuzzy关系方程组与Fuzzy关系不等式组的解．本文首先指出文[1]中有一个关键结果是错误的，然后在文[1]的基础上对多变量Fuzzy关系方程组与Fuzzy关系不等式组的解作进一步讨论，我们把这类方程组的求解问题完全转化成了相应的单变量方程的求解问题，最后讨论了解之间的一些关系．G.M.Trojan et al. studied the solution of systems of multivariable fuzzyrelational equations (or inequalities) in [1]. In this paper, after pointing out a crucial mistakein [1], we have made a further investigation on them and obtained a complete transformationwhich only asks us to solve a single fuzzy equation (or inequality). Lastly some relations betweenthese solutions have been discussed.

关 键 词：多变量 模糊关系不等式 解 模糊关系方程 

分 类 号：O159[理学—数学]