模糊关系映射的性质  

Some Properties of Fuzzy Relation Mappings

作　　者：王长忠[1] 王丽丽[1] 赵志涛[2] 

机构地区：[1]渤海大学数理学院,辽宁锦州121000 [2]黑龙江大学数学科学学院,黑龙江哈尔滨150001

出　　处：《模糊系统与数学》2013年第4期13-18,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61070242);辽宁省高等学校优秀人才支持计划项目(LR2012039);黑龙江教育厅项目(11551366)

摘　　要：文献[WangCZ，ChenDG，ZhuLK．Homomorphisms between fuzzy information systems．Applie dMathemat icsLetters，2009，22：1045-1050]给出了模糊关系映射的扩张原理，本文在其理论基础上，通过截集给出了模糊关系映射扩张原理的另一描述方法，并研究了相应性质，进一步又研究了模糊关系映射的合成以及相应的扩张原理。Based on the theories of the extension principle of fuzzy relation mapping which are proposed by this paper Wang C Z,Chen D G,Zhu L K. homomorphisms between fuzzy information systems. Applied Mathematics Letters, 2009,22. 1045 10501, another description about the extension principle of fuzzy relation mapping and their properties are studied by cut sets in this paper. Then, the composition of fuzzy relation mapping and its extension lrinciDle are oroDosed.

关 键 词：模糊关系映射 扩张原理 二元关系 

分 类 号：O159[理学—数学]