Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

May 25, 2022


Pages

2169-2178


DOI

Article

The consistency method of linguistic information and other four preference information in group decision-making

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Authors

Zhi Zhou Affiliation:
Zibo Integrated Traditional Chinese and Western Medicine Hospital, ZiBo, Shandong 255026, China
, Fengxia Jin Affiliation:
School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang, Henan 453003, China
, Yunxia Ma Affiliation:
Zibo Integrated Traditional Chinese and Western Medicine Hospital, ZiBo, Shandong 255026, China
and Huatao Chen Affiliation:
Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, ZiBo, Shandong 255000, China


Abstract

The transformation method between the linguistic judgement matrix and other four forms of preference information is researched in this paper. The four forms of preference information are preference ordering, utility value, reciprocal judgement matrices and complementary judgement matrices. First, based on the definition of preference information, the mutual transformation methods of linguistic judgement matrix and other four forms of preference information are given. Then new transformation equations are obtained. Next, it is proved that when the linguistic judgement matrix has complete consistency, the other four forms of preference information will have complete consistency too. Finally, a numerical analysis is offered to show that these methods are feasible and effective.


Keywords

group decision-making, linguistic judgement matrix, preference information, consistency


Citation

Zhou, Z., Jin, F., Ma, Y., & Chen, H. (2021). The consistency method of linguistic information and other four preference information in group decision-making. Applied Mathematics and Nonlinear Sciences, 6(2), 2169–2178. https://doi.org/10.2478/amns.2021.2.00133

Published by: Engineering Journals

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