二元偏序关系结构的研究  

Study on the structure of binary partial order relations

作　　者：石少俭[1] SHI Shaojian(School of Computer Science and Technology,Shandong University of Technology,Zibo 255049,China)

机构地区：[1]山东理工大学计算机科学与技术学院,山东淄博255049

出　　处：《山东理工大学学报（自然科学版）》2020年第6期57-58,64,共3页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：偏序关系是比较典型和重要的一种关系,有很多实际的应用。定义了独立元素、孤立序偶、单调传递序偶,证明了有关的性质,给出了偏序关系的结构。Partial order relation is a typical and important relation,and has many practical applications.Independent elements,isolated ordered pairs and monotone transitive ordered pairs are defined.The related properties are proved and the structure of partial ordered relations is given.

关 键 词：偏序关系 独立元素 孤立序偶 单调传递序偶 

分 类 号：O158[理学—数学]