Some studies on properties of hesitant fuzzy sets

Due to the advantages in dealing with fuzziness and uncertainty, hesitant fuzzy sets have attracted many attentions of researchers. To enlarge the range of their application, it is necessary to give an intensive study about the basic operations and properties of hesitant fuzzy sets. Based on Archimedean t-norm and t-conorm, some operations about hesitant fuzzy sets are introduced, and the properties and correlations of them are also investigated. The developed operations can be considered as the extension of the existing ones and can lay a foundation for further research and application of hesitant fuzzy theory.

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