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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© 2006 Springer-Verlag Berlin Heidelberg
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Liu, YK., Liu, B., Chen, Y. (2006). The Infinite Dimensional Product Possibility Space and Its Applications. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence. ICIC 2006. Lecture Notes in Computer Science(), vol 4114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37275-2_124
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DOI: https://doi.org/10.1007/978-3-540-37275-2_124
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37274-5
Online ISBN: 978-3-540-37275-2
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