The Hamacher Aggregation Operators and their Application to Decision Making with Hesitant Pythagorean Fuzzy Sets

DOI

10.2991/meici-18.2018.118How to use a DOI?

Keywords

Decision-making; Pythagorean fuzzy sets; Hesitant fuzzy sets; Hamacher aggregation; score function

Abstract

As a generalization of intuitionistic fuzzy sets(IFSs), Pythagorean fuzzy sets(IPFSs) can deal with uncertain information more flexibly for its relaxing condition that the square sum of the membership and non-membership is less than 1. While in real world, the uncertainty and fuzziness universally exists, hesitant fuzzy sets(HFSs) is more efficient in expressing the hesitant situation for assigning a set of memberships and non-memberships instead of one. This article deals with the group decision-making problem based on Hesitant Pythagorean fuzzy sets(HPFSs). Firstly, with Hamacher aggregation operations, the Hamacher aggregation hesitant Pythagorean weighted averaging operator (HHPWA) is constructed. Then, we aggregate the information with the collective ones. Finally, an illustrative numerical example is presented to test the effectiveness of the proposed approach.

Copyright

© 2018, 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  - Lishi Zhang
PY  - 2018/12
DA  - 2018/12
TI  - The Hamacher Aggregation Operators and their Application to Decision Making with Hesitant Pythagorean Fuzzy Sets
BT  - Proceedings of the 2018 8th International Conference on Management, Education and Information (MEICI 2018)
PB  - Atlantis Press
SP  - 597
EP  - 601
SN  - 1951-6851
UR  - https://doi.org/10.2991/meici-18.2018.118
DO  - 10.2991/meici-18.2018.118
ID  - Zhang2018/12
ER  -