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/).

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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  -