Applied Mathematics and Mechanics

, Volume 15, Issue 11, pp 1081–1085 | Cite as

A new pansystems research about binary relation’s transitivity

  • Wu Shou-zhi


Because of the great needs both for the research of pansystem mathematics and for the analysis of general things’ mechanism, this paper discusses the binary relation’s transitivity confined to multirelation. The so-called “g-transitivity” a completely new concept about transitivity—is introduced and its basic properties are investigated. The study shows that it is not only g-transitivity a generalization of traditional transitivity, quasi-transitivity, semi-order, quasi-order and other panorder, but also includes many important concepts such as closenss, convexity, topology, duality as its special cases.

Key words

pansystems theory relation panorder order transitivity quasi-transitivity g-transitivity 


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Copyright information

© SUT 1994

Authors and Affiliations

  • Wu Shou-zhi
    • 1
  1. 1.Suzhou Institute of Urban Construction and Environmental ProtectionSuzhou

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