A Hybrid Multi-Attribute Decision-Making Approach Considering Correlations Among Indicators
DOI:
https://doi.org/10.15837/ijccc.2024.3.6515Keywords:
hybrid multi-attribute decision making; inter-indicator correlation; generalized shapley function; VIKOR method; data literacy evaluationAbstract
Considering the fuzzy and uncertainty of the evaluation information of the evaluation object, the type of indicators are expanded into five types of mixed evaluation information, namely, exact number, interval number, triangular fuzzy number, hesitant fuzzy number, and probabilistic linguistic term sets, and different types of evaluation information are adopted according to the different characteristics and types of indicators, respectively. When the evaluation information is hybrid information, the generalized Shapley function based on fuzzy measurement is used to analyze the interaction between indicators and determine the weights of indicators, considering that the interaction between indicators is more complicated. In view of the fact that the conversion of mixed information into the same kind of information will lead to the problem of complicated calculation and missing information, the VIKOR method is used to comprehensively evaluate the evaluation objects and select the best ones. Finally, the validity and feasibility of the proposed method is verified by taking the assessment of data literacy level and competence of teachers in a university in a western province of China as an example.
References
WU C R, LIN C T,TSAI P H(2009). "Analysing alternatives in financial services for wealth management banks: The analytic network process and the balanced scorecard approach,"in IMA Journal of Management Mathematics, 20(3), 303-321, 2009.
https://doi.org/10.1093/imaman/dpp002
Jodlbauer H, Tripathi S(2023). "Analytical comparison of cross impact steady state, DEMATEL, and page rank for analyzing complex systems,"in Expert Syst. Appl., 225, 120154, 2023.
https://doi.org/10.1016/j.eswa.2023.120154
Yin L , Zhang Q , Zhao F ,et al(2022). "A new distance measure for pythagorean fuzzy sets based on earth mover's distance and its applications,"in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology, 2022.
https://doi.org/10.3233/JIFS-210800
A P K, B S R(2022). "The q q -Rung Orthopair Fuzzy Hamacher Generalized Shapley Choquet integral Operator and its Application to Multiattribute Decision Making,"in EURO Journal on Decision Processes, 2022.
Galindo H , Gallardo J M, A. Jiménez-Losada(2020). "A real Shapley value for cooperative games with fuzzy characteristic function," in Fuzzy Sets and Systems, 409, 2020.
https://doi.org/10.1016/j.fss.2020.04.019
Xu D, Dong L(2020). "Comprehensive evaluation of sustainable ammonia production systems based on fuzzy multi-attribute decision making under hybrid information," in Energy Science & Engineering, 8(6), 1902-1923, 2020.
https://doi.org/10.1002/ese3.630
Zeng X T, Yu G F, Wu J(2019). "A new approach for hybrid multiattribute variable weight decision making with decision maker's behavioral character," in Journal of Intelligent and Fuzzy Systems, 37(6), 7737-7746, 2019.
https://doi.org/10.3233/JIFS-182539
LOURENZUTTI R, KORHLING R A( 2016). "A generalized TOPSIS method for group decision making with heterogeneous information in a dynamic environment," in Information Science, 330, 1-18, 2016.
https://doi.org/10.1016/j.ins.2015.10.005
Yadav R, Singh M, Meena A, et al(2023). "Selection and ranking of dental restorative composite materials using hybrid Entropy-VIKOR method: An application of MCDM technique," in Journal of the Mechanical Behavior of Biomedical Materials, 147, 106103, 2023.
https://doi.org/10.1016/j.jmbbm.2023.106103
Tambouratzis T , "Canellidis V(2014). Reward-Penalty Assignments and Genetic Algorithms for Ordinal Interval Number Group Decision Making," in International Journal of Intelligent Systems, 29(8), 727-750, 2014.
https://doi.org/10.1002/int.21660
Karimi M J M( 2020). "A fully fuzzy best-worst multi attribute decision making method with triangular fuzzy number: A case study of maintenance assessment in the hospitals," in Applied Soft Computing, 86, 2020.
https://doi.org/10.1016/j.asoc.2019.105882
Remadi F D, Frikha H M(2023). "The triangular intuitionistic fuzzy numbers CODAS method for solving green material selection problem," in International Journal of Operational Research, 2023.
https://doi.org/10.1504/IJOR.2023.129409
Vicenˇc Torra, Narukawa Y(2009). "On hesitant fuzzy sets and decision,"in IEEE International Conference on Fuzzy Systems.IEEE, 2009.
https://doi.org/10.1109/FUZZY.2009.5276884
Li D , Zeng W , Li J(2015). "New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making," in Engineering Applications of Artificial Intelligence, 40(apr.), 11-16, 2015.
https://doi.org/10.1016/j.engappai.2014.12.012
Xu Z, Xia M(2011). Distance and similarity measures for hesitant fuzzy sets," in Information Sciences, 181, 11, 2128-2138, 2011.
https://doi.org/10.1016/j.ins.2011.01.028
Wu X, Liao H, Pedrycz W(2020). "Probabilistic linguistic term set with interval uncertainty," in IEEE Transactions on Fuzzy Systems, 29(11), 3532-3545, 2020.
https://doi.org/10.1109/TFUZZ.2020.3025699
Yi Z(2022). Decision-making based on probabilistic linguistic term sets without loss of information," in Complex & Intelligent Systems, 8(3), 2435-2449, 2022.
https://doi.org/10.1007/s40747-022-00656-2
Zhu J, Ma X, Kou G, et al(2023). A three-way consensus model with regret theory under the framework of probabilistic linguistic term sets. Information Fusion, 95, 250-274, 2023.
https://doi.org/10.1016/j.inffus.2023.02.029
Wang Z, Klir G J( 2013). Fuzzy measure theory," in Springer Science & Business Media, 2013.
Beliakov G, James S, Wu J(2020). Discrete fuzzy measures," in Springer International Publishing, 2020.
https://doi.org/10.1007/978-3-030-15305-2
Soltanifar M, Tavana M, Santos-Arteaga F J, et al(2023). A hybrid multi-attribute decisionmaking and data envelopment analysis model with heterogeneous attributes: The case of sustainable development goals," in Environmental Science & Policy, 147, 89-102, 2023.
https://doi.org/10.1016/j.envsci.2023.06.004
Somu N, Kowli A( 2024). "Evaluation of building energy demand forecast models using multiattribute decision making approach," in Energy and Built Environment, 5(3), 480-491, 2024.
https://doi.org/10.1016/j.enbenv.2023.03.002
Qin H, Peng Q, Ma X, et al(2023). "A new multi-attribute decision making approach based on new score function and hybrid weighted score measure in interval-valued Fermatean fuzzy environment,"in Complex & Intelligent Systems, 1-18, 2023.
https://doi.org/10.1007/s40747-023-01021-7
Azizi A, Seidi M, Bahrami P, et al(2024). Nickel-based super alloy grinding optimisation using a hybrid multi attribute decision making method based on entropy, AHP and TOPSIS. Advances in Materials and Processing Technologies, 1-20, 2024.
https://doi.org/10.1080/2374068X.2023.2198798
Soltanifar M, Tavana M, Santos-Arteaga F J, et al(2023). A hybrid multi-attribute decisionmaking and data envelopment analysis model with heterogeneous attributes: The case of sustainable development goals. Environmental Science & Policy, 147, 89-102, 2023.
https://doi.org/10.1016/j.envsci.2023.06.004
Kumar, V., Gupta, A., Taneja, H.C. (2023), A Novel Similarity Measure and Score Function of Pythagorean Fuzzy Set and their Application in Assignment Problem. Economic Computation and Economic Cybernetics Studies and Research, 57(3), 313-326, 2023.
https://doi.org/10.24818/18423264/57.3.23.19
Pavlaˇcková, M., Pavlaˇcka, O., Horˇciˇcková, T. (2023), A Fuzzy Group Decision-making Model for Measurement of Companies' Performance. Economic Computation and Economic Cybernetics Studies and Research, vol. 57(2), 119-134, 2023.
https://doi.org/10.24818/18423264/57.2.23.08
Li Q. (2023). Green Supply Chain Optimization with Fuzzy MCDM for Economic Growth . Int. Journal of Simulation Modelling , 22(4), 690-700, 2023.
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