Journal
INFORMATION SCIENCES
Volume 181, Issue 11, Pages 2128-2138Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.01.028
Keywords
Hesitant fuzzy set; Distance measure; Similarity measure; Decision making
Categories
Funding
- National Science Fund for Distinguished Young Scholars of China [70625005]
- National Natural Science Foundation of China [71071161]
- Program Sponsored for Scientific Innovation Research of College Graduate in Jiangsu Province [CX10B_059Z]
- Scientific Research Foundation of Graduate School of Southeast University
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In this paper, 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. (C) 2011 Elsevier Inc. All rights reserved.
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