Entropy-based Constant and Variable Weight Determination for Decision Makers in Multi-Criteria Group Decision Making
Keywords:
Entropy Method, Decision makers’ weights, objective weights, Multi Criteria Decision MakingAbstract
Properly assigning weights to decision makers in a group decision making environment is one of the essential processes of utmost importance as it can have a direct effect on the final outcome. This paper, basing on the entropy method, proposes a correct and efficient way to objectively assign weights to decision makers in a multi-criteria group decision making environment. Two approaches namely, constant and variable weighting, have been put forward whilst providing necessary proofs and numerical examples in order to show one of the existing ways in literature is erroneous as it is not resulting in weights that reflects entropy method’s basic intuition.
Downloads
References
S. Liu, W. Yu, L. Liu, and Y. Hu, Variable weights theory and its application to multi-attribute group decision making with intuitionistic fuzzy numbers on determining decision maker’s weights, PLOS One 14(3) (2019).
A. Janković and M. Popovic, Methods for assigning weights to decision makers in group AHP decision-making, Decision Making: Applications in Management and Engineering 2, 147–165 (2019).
B. Liu, Y. Shen, Y. Chen, X. Chen, and Y. Wang, A two-layer weight determination method for complex multi-attribute large-group decision-making experts in a linguistic environment, Information Fusion 23, 156–165 (2015).
L. D. D. R. Calache, V. C. B. Camargo, L. Osiro, and L. C. R. Carpinetti, A genetic algorithm based on dual hesitant fuzzy preference relations for consensus group decision making, Applied Soft Computing 121, 108778 (2022).
Z. Xu and X. Cai, Minimizing Group Discordance Optimization Model for Deriving Expert Weights, Group Decision and Negotiation 21(6), 863–875 (2012).
S. Abootalebi, A. Hadi-Vencheh, and A. Jamshidi, An Improvement to Determining Expert Weights in Group Multiple Attribute Decision Making Problem, Group Decision and Negotiation 27(2), 215–221 (2018).
S. Zeng, N. Zhang, C. Zhang, W. Su, and L.-A. Carlos, Social network multiple-criteria decision-making approach for evaluating unmanned ground delivery vehicles under the Pythagorean fuzzy environment, Technological Forecasting and Social Change 175, 121414 (2022).
Z. Chen, P. Zhong, M. Liu, Q. Ma, and G. Si, An integrated expert weight determination method for design concept evaluation, Scientific Reports 12(1), 6358 (2022).
H. Liao, Z. Ren, and R. Fang, A Deng-Entropy-Based Evidential Reasoning Approach for Multi-expert Multi-criterion Decision-Making with Uncertainty, International Journal of Computational Intelligence Systems 13(1), 1281–1294 (2020).
Z. Yue, A method for group decision-making based on determining weights of decision makers using TOPSIS, Applied Mathematical Modelling 35(4), 1926–1936 (2011).
Z. Yue, Approach to group decision making based on determining the weights of experts by using projection method, Applied Mathematical Modelling 36(7), 2900–2910 (2012).
Q. Mao, M. Guo, J. Lv, J. Chen, P. Xie, and M. Li, A Risk Assessment Framework of Hybrid Offshore Wind-Solar PV Power Plants under a Probabilistic Linguistic Environment, Sustainability 14(7), 4197 (2022).
C. E. Shannon, A Mathematical Theory of Communication, The Bell System Technical Journal 27(3), 379–423 (1948).
C. Yue, Entropy-based weights on decision makers in group decision-making setting with hybrid preference representations, Applied Soft Computing 60, 737–749 (2017).
I. K. Vlachos and G. D. Sergiadis, Subsethood, entropy, and cardinality for interval-valued fuzzy sets—An algebraic derivation, Fuzzy Sets and Systems 158(12), 1384–1396 (2007).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Journal of Aeronautics and Space Technologies

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
The manuscript with title and authors is being submitted for publication in Journal of Aeronautics and Space Technologies. This article or a major portion of it was not published, not accepted and not submitted for publication elsewhere. If accepted for publication, I hereby grant the unlimited and all copyright privileges to Journal of Aeronautics and Space Technologies.
I declare that I am the responsible writer on behalf of all authors.