直觉模糊关系方程  

EQUATION FOR INTUITIONISTIC FUZZY RELATION

作　　者：杨振国[1] 王加银[1] 

机构地区：[1]北京师范大学数学科学院复杂系统智能控制实验室,北京100875

出　　处：《北京师范大学学报（自然科学版）》2012年第1期1-5,共5页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(60775032)

摘　　要：介绍了直觉模糊集、直觉模糊关系及其合成;合理的建立直觉模糊关系方程,并对其解进行讨论研究.给出了直觉模糊关系方程相容的充要条件及求最大解的方法;进一步还讨论了在有限论域上基于拟极小解的直觉模糊关系方程的全体解集.Intuitionistic fuzzy sets, relations and composition were introduced to establish and to solve equation for intuitionistic fuzzy relation （IFRE）. Sufficient and necessary conditions of IFRE were proposed, solution at maximal resolution was given. Sets for all the solution of the IFRE based on the finite sets were discussed.

关 键 词：直觉模糊关系 直觉模糊关系方程 相容 最大解 

分 类 号：O159[理学—数学]