Wu Shou-zhi. A New Pansystems Research About Binary Relation’s Transitivity[J]. Applied Mathematics and Mechanics, 1994, 15(11): 1025-1029.
Citation: Wu Shou-zhi. A New Pansystems Research About Binary Relation’s Transitivity[J]. Applied Mathematics and Mechanics, 1994, 15(11): 1025-1029.

A New Pansystems Research About Binary Relation’s Transitivity

  • Received Date: 1994-04-01
  • Publish Date: 1994-11-15
  • Beca use of the great needs for both the rcsoarch of pansystems mathematics and the analysis of general things' mechanism,this paper discusses the binary relations transitivity confincd to multirelation.The so-called "g-transitivity"-a completoly new concept about transitivity-is introduced and its basic properties are investigated.The study sfiows that it is not only g-transitivity a generalization of traditional transitivity,quasi-transitivity,semorder,quasi-order and other panorder,but also includes many basic concepts such as closeness,convexity,topology,duality as its special cases.
  • loading
  • [1]
    吴学谋,《遇近转化论与数学中的泛系概念》,湖南科学技术出版社(1984).
    [2]
    吴学谋,《从泛系观看世界》,中国人民大学出版社(1990).
    [3]
    吴学谋,《泛系理论与数学方法》,江苏教育出版社(1990).
    [4]
    吴守志、吴学谋,Generalized fundamental equation in pansystems network analysis,Kybernetes,15(1986).
    [5]
    吴守志,Fuzzy传递性的泛系研究,模糊数学,(1)(1984).
    [6]
    吴守志、陈北方,Quasi-transitivity and the problem of social choice,科学探索,(2)(1984).
    [7]
    Avriel,M,,Nonlinear Programming-Analgsis and Methods,Prentics-Hall Inc,(1976).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1912) PDF downloads(517) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return