A Hesitant Fuzzy Multiple Attribute Decision Making Method Based on Complementary Judgment Matrix

DOI

10.2991/mmsa-18.2018.82How to use a DOI?

Keywords

hesitant fuzzy set;fuzzy complementary judgment matrix; additive consistency;multiple attribute decision making

Abstract

Hesitant fuzzy set allow an element in the domain with a set of membership degree between 0 and 1, which is a powerful tool to express the uncertainty alternative assessment value of decision makers. A hesitant fuzzy multiple attribute decision making method is proposed based on additive consistency theory of fuzzy complementary judgment matrix. First, we define mean residual between two hesitant fuzzy elements and a new fuzzy complementary judgment matrix and then prove it has additive consistency; on this basis, we gain a new weighted fuzzy complementary judgment matrix. Then, the fuzzy complementary judgment matrix is implemented to rank and select alternatives. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.

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  - Jibin Lan
AU  - Wenqian Kang
AU  - Mingming Hu
PY  - 2018/03
DA  - 2018/03
TI  - A Hesitant Fuzzy Multiple Attribute Decision Making Method Based on Complementary Judgment Matrix
BT  - Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
PB  - Atlantis Press
SP  - 368
EP  - 374
SN  - 1951-6851
UR  - https://doi.org/10.2991/mmsa-18.2018.82
DO  - 10.2991/mmsa-18.2018.82
ID  - Lan2018/03
ER  -