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From the Fuzzy Statistics to the Falling Random Subsets

In: Advances in Fuzzy Sets, Possibility Theory, and Applications

Author

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  • Wang Pei-zhuang

    (Beijing Normal University, Department of Mathematics)

Abstract

In this paper we shall discuss some problems concerning the fuzzy statistics and the random subsets. The Rain space, a framework treating the fuzzy subsets as random subsets will be introduced. In this space, the measurability of random subsets is equivalent to the strong measurability. Applying the graph of random subsets we will give a correspondence theorem which combines the falling random subsets and the measurable fuzzy subsets. Finally, we will discuss the operations of fuzzy subsets, some interesting results will be found.

Suggested Citation

  • Wang Pei-zhuang, 1983. "From the Fuzzy Statistics to the Falling Random Subsets," Springer Books, in: Paul P. Wang (ed.), Advances in Fuzzy Sets, Possibility Theory, and Applications, pages 81-96, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-3754-6_8
    DOI: 10.1007/978-1-4613-3754-6_8
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