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- W2019860246 abstract "In this paper we study the number of k-level equivalence classes of fuzzy subsets of a finite set of n elements under a natural equivalence. This number is related to Stirling numbers. Viewing fuzzy subsets as functions from a set into the unit interval, we also associate a kernel partition with every equivalence class of fuzzy subsets. After some elementary properties of the equivalence, we provide a recurrence relation and a generating function concerning the number of k-level fuzzy subsets using Stirling numbers." @default.
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- W2019860246 date "2005-08-01" @default.
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- W2019860246 title "Equivalent finite fuzzy sets and Stirling numbers" @default.
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- W2019860246 doi "https://doi.org/10.1016/j.ins.2004.08.008" @default.
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