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Xu, Zeshui; Xia, Meimei

Distance and similarity measures for hesitant fuzzy sets. (English) Zbl 1219.03064

Inf. Sci. 181, No. 11, 2128-2138 (2011).
Summary: We propose a variety of distance measures for hesitant fuzzy sets, based on which the corresponding similarity measures can be obtained. We investigate the connections of the aforementioned distance measures and further develop a number of hesitant ordered weighted distance measures and hesitant ordered weighted similarity measures. They can alleviate the influence of unduly large (or small) deviations on the aggregation results by assigning them low (or high) weights. Several numerical examples are provided to illustrate these distance and similarity measures.

Cited in 1 Review
Cited in 173 Documents

MSC:

03E72 Theory of fuzzy sets, etc.
91B06 Decision theory

Keywords:

hesitant fuzzy set; distance measure; similarity measure; decision making
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\textit{Z. Xu} and \textit{M. Xia}, Inf. Sci. 181, No. 11, 2128--2138 (2011; Zbl 1219.03064)
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References:

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