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A New Uniform OR Operation Model Based on Generalized S-Norm

  • Zhicheng Chen
  • Mingyi Mao
  • Weikang Yang
  • Huacan He
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4114)

Abstract

In universal logic, S-norm is the mathematical model of “OR” operation. S-norm and S-generator were defined on interval [0, 1] in previous work. In the related work, authors put forward a kind of logic based on generalized interval [a, b]. This paper studied the S-norm and S-generator on any interval [a, b], discussed the two kinds of generalized S-generators: “Automorphic increase S-generator” and “Infinite decrease S-generator”, and proved the important generating theorem of generalized S-norm. Based on the conceptions of integrated cluster of generalized S-norm and S-generator, authors put forward a new uniform “OR” operation model. The simulation shows that it is not only flexible but controllable. It enlarged the study domain of universal logic, and offered important theory for uncertainties reasoning of complex system.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Zhicheng Chen
    • 1
  • Mingyi Mao
    • 2
  • Weikang Yang
    • 1
  • Huacan He
    • 2
  1. 1.Operating System & Middleware Technology Research Center, Tsinghua University, 100084 BeijingChina
  2. 2.Department of Computer Science and Engineering, Northwestern Polytechnical University, 710072 Xi’anChina

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