Abstract
In actual decision-making, recognizing, analyzing, and reasoning is vital to solving problems in which information plays an important part. The evidential reasoning (ER) approach provides a great way to address multi-attribute decision-making (MADM) problems, including qualitative and quantitative attributes, based on a distributed assessment framework. However, in the ER context, choosing the optimal schemes is based primarily on the aggregation of attributes’ distributed assessments. The consistency of assessments for each attribute is ignored, all that will affect the evaluation's reliability. This study puts forward a new model based on the ER to handle MADM problems, considering the consistency of attributes assessment. A reliable measure for assessments, calculated with the entropy, is figured out to represent the discrete degree of evaluating so that effectiveness and reliability and are both considered. A numerical example illustrates the decision-making process, and the properties of the new model are investigated. It is shown that the new approach is more reasonable and effective.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Yang, J.-B., Sen, P.: A general multi-level evaluation process for hybrid MADM with uncertainty. IEEE Trans. Syst. Man Cybern. 24, 1458–2147 (1994)
Yang, J.B., Xu, D.L.: Evidential reasoning rule for evidence combination. Artif. Intell. 205, 1–29 (2013)
Wang, Y.M., Yang, J.B., Xu, D.L., et al.: The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees. Eur. J. Oper. Res. 175, 35–66 (2006)
Fu, C., Yang, S.L.: The conjunctive combination of interval-valued belief structures from dependent sources. Int. J. Approximate Reasoning 53, 69–785 (2012)
Zhang, M.J., Wang, Y.M.: Hybrid evidential reasoning for decision making under uncertainty based on extension principle. Control Decis. 30, 670–676 (2015)
Zhang, M.-J., Wang, Y.-M., Li, L.-H., et al.: A general evidential reasoning algorithm for multi-attribute decision analysis under interval uncertainty. Eur. J. Oper. Res. 257, 1005–1015 (2017)
Roselló, L., Sánchez, M., Agell, N., et al.: Using consensus and distances between generalized multi-attribute linguistic assessments for group decision-making. Inf. Fusion 17, 83–92 (2014)
Yan, H.B., Zhang, X., Li, Y.: Linguistic multi-attribute decision making with multiple priorities. Comput. Ind. Eng. 109, 15–27 (2017)
Ma, Z., Zhu, J., Chen, Y.: A probabilistic linguistic group decision-making method from a reliability perspective based on evidential reasoning. IEEE Trans. Syst. Man Cybern. Syst. 50, 15 (2018)
Xue, W., Xu, Z., Wang, H., et al.: Hazard assessment of landslide dams using the evidential reasoning algorithm with multi-scale hesitant fuzzy linguistic information. Appl. Soft Comput. 79, 74–86 (2019)
Gupta, P., Mehlawat, M.K., Grover, N.: A generalized TOPSIS method for intuitionistic fuzzy multiple attribute group decision making considering different scenarios of attributes weight information. Int. J. Fuzzy Syst. 21, 369–387 (2019)
Wang, L., Wang, Y.M., Martínez, L.: A group decision method based on prospect theory for emergency situations. Inf. Sci. 418–419, 119–135 (2017)
Zhang, Z.-X., Wang, L., Wang, Y.-M.: An emergency decision making method based on prospect theory for different emergency situations. Int. J. Disaster Risk Sci. 9, 407–420 (2018)
Vipin, B., Amit, R.K.: Describing decision bias in the newsvendor problem: a prospect theory model. Omega 82, 132–141 (2019)
Kong, Z., Wang, L., Wu, Z.: Application of fuzzy soft set in decision making problems based on grey theory. J. Comput. Appl. Math. 236, 1521–1530 (2011)
Li, G.-D., Yamaguchi, D., Nagai, M.: A grey-based decision-making approach to the supplier selection problem. Math. Comput. Model. 46, 573–581 (2017)
Maghrabie, H.F., Beauregard, Y., Schiffauerova, A.: Grey-based multi-criteria decision analysis approach: addressing uncertainty at complex decision problems. Technol. Forecast. Soc. Change 146, 366–379 (2019)
Peng, J.J., Wang, J.Q., Zhang, H.Y., et al.: An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl. Soft Comput. 25, 336–346 (2014)
Pramanik, S., Biswas, P., Giri, B.C.: Hybrid vector similarity measures and their applications to multi-attribute decision making under neutrosophic environment. Neural Comput. Appl. 28, 1–14 (2015)
Uluçay, V., Kılıç, A., Yıldız, İ., Şahin, M.: A new approach for multi-attribute decision-making problems in bipolar neutrosophic sets. Neutrosophic Sets Syst. 23, 142–159 (2018)
Yang, Y., Xu, D.L., Yang, J.B., et al.: An evidential reasoning-based decision support system for handling customer complaints in mobile telecommunications. Knowl.-Based Syst. 162, 202–210 (2018)
Yin, D.J., Wang, H.L.: Uncertain multi-attribute decision making method based on entropy and evidential reasoning approach. J. Comput. Appl. 31, 1308–1310, 1412 (2011)
Wang, Y.M., Yang, J.B., Xu, D.L.: Environmental impact assessment using the evidential reasoning approach. Eur. J. Oper. Res. 174, 1885–1913 (2006)
Wang, Y.-M., Taha, E.M.S.: Evidential reasoning approach for bridge condition assessment. Expert Syst. Appl. 34, 689–699 (2006)
Dempster, A.P.: Upper and lower probabilities induced by a multi-value mapping. Annu. Math. Stat. 38, 325–339 (1967)
Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
Acknowledgments
This research is supported by the Humanities and Social Sciences Foundation of the Ministry of Education of China under Grant No. 17YJC630213, and the Natural Science Foundation of Fujian Province of China under Grant No. 2017J01514.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Zhang, M. (2021). A Novel Evidential Reasoning Approach for Multiple Attribute Decision Making Considering Reliability. In: Hassanien, AE., Chang, KC., Mincong, T. (eds) Advanced Machine Learning Technologies and Applications. AMLTA 2021. Advances in Intelligent Systems and Computing, vol 1339. Springer, Cham. https://doi.org/10.1007/978-3-030-69717-4_80
Download citation
DOI: https://doi.org/10.1007/978-3-030-69717-4_80
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-69716-7
Online ISBN: 978-3-030-69717-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)