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The Infinite Dimensional Product Possibility Space and Its Applications

  • Yan-Kui Liu
  • Baoding Liu
  • Yanju Chen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4114)

Abstract

This paper is devoted to the construction of infinite dimensional product possibility space as well as its applications in theory of fuzzy processes. First, the countably infinite dimensional product ample field, and the extension of countably many product possibility measures based on a continuous triangular norm are discussed. Then the results are generalized to the case of uncountably many factors. Finally, the obtained results about the product possibility space is applied to the construction of a fuzzy vector, a sequence of fuzzy variables and a fuzzy process.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yan-Kui Liu
    • 1
  • Baoding Liu
    • 2
  • Yanju Chen
    • 1
  1. 1.College of Mathematics and Computer Science, Hebei University, Baoding 071002, HebeiChina
  2. 2.Department of Mathematical Sciences, Tsinghua University, Beijing 100084China

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