Cosine similarity measures for dual hesitant fuzzy sets
- DOI
- 10.2991/icmmct-16.2016.102How to use a DOI?
- Keywords
- similarity measures, hesitant fuzzy set.
- Abstract
The Dual Fuzzy Sets (DHFSs), originated by Zhu and Xu [1], is a useful tool to deal with vagueness and ambiguity. In this paper, we propose one new measure called Cosine similarity measure for dual 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 dual hesitant ordered weighted distance measures and dual 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.
- Copyright
- © 2016, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Wei Qiu AU - Guangchun Zhang AU - Lei Zhu PY - 2016/03 DA - 2016/03 TI - Cosine similarity measures for dual hesitant fuzzy sets BT - Proceedings of the 2016 4th International Conference on Machinery, Materials and Computing Technology PB - Atlantis Press SP - 510 EP - 513 SN - 2352-5401 UR - https://doi.org/10.2991/icmmct-16.2016.102 DO - 10.2991/icmmct-16.2016.102 ID - Qiu2016/03 ER -