Scalar and fuzzy cardinalities of crisp and fuzzy multisets
نویسندگان
چکیده
We define in an axiomatic way scalar and fuzzy cardinalities of finite multisetsover ]0, 1], and we obtain explicit descriptions for them. We show that, for multisetsover ]0, 1] associated to finite fuzzy sets, the cardinalities defined in this paper areequivalent to the cardinalities of the corresponding fuzzy sets previously introducedin the literature. Finally, we also define in an axiomatic way scalar and fuzzycardinalities of finite fuzzy multisets over any set X, and we use the descriptionsof the cardinalities of finite multisets over ]0, 1] to obtain explicit characterizationsof the former.
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عنوان ژورنال:
- Int. J. Intell. Syst.
دوره 24 شماره
صفحات -
تاریخ انتشار 2009