Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (11): 1081-1085.

吴守志

- Suzhou Institule of urban Conslruction and Environmemntal Protection. Suzhou

Wu Shou-zhi

- Suzhou Institule of urban Conslruction and Environmemntal Protection. Suzhou

**摘要： **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.