Because of. the great needs both for the research of pansystem mathematics andfor the analysis of general things' mechanism, this paper discusses the binary relation,stransitivity confined to multirelation. The so...Because of. the great needs both for the research of pansystem mathematics andfor the analysis of general things' mechanism, this paper discusses the binary relation,stransitivity confined to multirelation. The so-called g-transitvity- a completelynew concept about transitivity- is introduced and its basic properties are investigated.The study shows that it is not only g-transitivity a generalization of traditionaltransitivity, quasi-transitivity, seml-order, quasi-order and other panorder, but alsoincludes many important concepts such as closeness, convexity, topology, duality as itsspecial cases.展开更多
文摘Because of. the great needs both for the research of pansystem mathematics andfor the analysis of general things' mechanism, this paper discusses the binary relation,stransitivity confined to multirelation. The so-called g-transitvity- a completelynew concept about transitivity- is introduced and its basic properties are investigated.The study shows that it is not only g-transitivity a generalization of traditionaltransitivity, quasi-transitivity, seml-order, quasi-order and other panorder, but alsoincludes many important concepts such as closeness, convexity, topology, duality as itsspecial cases.
