On the uniqueness of $L$-fuzzy sets in the representation of families of sets

Peng He; Xue-ping Wang

doi:10.1016/j.fss.2017.05.023

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arXiv · 1610.03532

On the uniqueness of $L$-fuzzy sets in the representation of families of sets

Peng He·Xue-ping Wang

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Abstract

This paper deals with the uniqueness of $L$-fuzzy sets in the representation of a given family of subsets of nonempty set. It first shows a formula of the number of $L$-fuzzy sets whose collection of cuts coincides with a given family of subsets of a nonempty set, and then provides a necessary and sufficient condition under which such $L$-fuzzy sets are unique.

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BibTeX RIS

Peng He, Xue-ping Wang. 2016-10-10. On the uniqueness of $L$-fuzzy sets in the representation of families of sets. https://doi.org/10.1016/j.fss.2017.05.023

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