Computer Science and Information Systems 2022 Volume 19, Issue 1, Pages: 251-275
https://doi.org/10.2298/CSIS210410051S
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How MCDM method and the number of comparisons influence the priority vector
Srđević Zorica 
(Faculty of Agriculture, Department of Water Management, Novi Sad, Serbia), zorica.srdjevic@polj.uns.ac.rs
Srđević Bojan (Faculty of Agriculture, Department of Water Management, Novi Sad, Serbia), bojans@polj.uns.ac.rs
Ždero Senka (Faculty of Agriculture, Department of Water Management, Novi Sad, Serbia), senka.zdero@polj.uns.ac.rs
Ilić Milica (Faculty of Agriculture, Department of Water Management, Novi Sad, Serbia), milica.ilic@polj.uns.ac.rs
One of the most important issues in multi-criteria decision making is the number of requited judgments decision-maker/analyst has to perform. This paper presents a comparison of the results obtained by standard analytic hierarchy process (AHP), limited AHP, and best-worst method (BWM) if the number of criteria is 6, 7, and 8. The examples show that BWM's results are comparable with the results if standard AHP is used, while the limited version of AHP is generally inferior to the other two methods.
Keywords: analytic hierarchy process, best-worst method, criteria, comparison matrix size, number of judgments
Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. 451-03-9/2021-14/200117
Show references
Tomashevskii, I., Tomashevskii, D.: A non-heuristic multicriteria decision-making method with verifiable accuracy and reliability. Journal of the Operational Research Society, 1-15. (2019)
Guitouni, A., Martel, J.M.: Tentative guidelines to help choosing an appropriate MCDA method. European journal of operational research, Vol. 109, No. 2, 501-521. (1998)
Hodgett, R.E.: Comparison of multi-criteria decision-making methods for equipment selection. The International Journal of Advanced Manufacturing Technology, Vol. 85, (5-8), 1145-1157. (2016)
Langhans, S.D., Reichert, P., Schuwirth, N.: The method matters: a guide for indicator aggregation in ecological assessments. Ecological indicators, 45, 494-507. (2014)
Pollesch, N., Dale, V.H.: Applications of aggregation theory to sustainability assessment. Ecological Economics, 114: 117-127. (2015)
Pollesch, N., Dale, V.H.: Normalization in sustainability assessment: Methods and implications. Ecological Economics, 130: 195-208. (2016)
Thor, J., Ding, S.H., Kamaruddin, S.: Comparison of multi criteria decision making methods from the maintenance alternative selection perspective. The International Journal of Engineering and Science, Vol. 2, No. 6, 27-34. (2013)
Velasquez, M., Hester, P.T.: An analysis of multi-criteria decision making methods. International journal of operations research, 10(2), 56-66. (2013)
Emovon I, Oghenenyerovwho OS: Application of MCDM method in material selection for optimal design: A review. Results in Materials, 7, 100115 (2020)
Cinelli, M., Kadziński, M., Gonzalez, M., Słowiński, R.: How to Support the Application of Multiple Criteria Decision Analysis? Let Us Start with a Comprehensive Taxonomy. Omega, 102261. (2020)
Saaty, T.: The Analytic hierarchy process. McGraw-Hill, New York (1980)
Yu, D., Kou, G., Xu, Z., Shi, S.: Analysis of collaboration evolution in AHP research: 1982-2018. International Journal of Information Technology & Decision Making (IJITDM), Vol. 20, No. 1, 7-36. (2021)
Singh, A., Malik, S.K.: Major MCDM Techniques and their application-A Review. IOSR Journal of Engineering, 4(5), 15-25. (2014)
Franek, J., Kresta, A.: Judgment scales and consistency measure in AHP. Procedia Economics and Finance, 12: 164-173. (2014)
Dong, Y., Xu, Y., Li, H., Dai, M.: A comparative study of the numerical scales and the prioritization methods in AHP. European Journal of Operational Research, Vol. 186, No. 1, 229-242 (2008)
Zhu, B., Xu, Z.: Analytic hierarchy process-hesitant group decision making. European Journal of Operational Research, Vol. 239, No. 3, 794-801. (2014).
Wedley, W.C., Schoner, B., Tang, T.S.: Starting Rules for Incomplete Comparisons in the Analytic Hierarchy Process. In: Vargas. L., Zaheidi. F.M. (Eds.) Mathematical and Computer Modelling 17 no. 4-5, Analytic Hierarchy Process, Pergamon Press, Oxford, 93-100. (1993)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets Syst, Vol. 88, 31-49. (1997)
Eessaar, E., Soobik, M.: A decision support method for evaluating database designs. Computer Science and Information Systems, 9(1), 81-106. (2012)
Dong, Y.C., Li, C.C., Xu, Y.F., Gu, X.: Consensus-based group decision making under multi-granular unbalanced 2-tuple linguistic preference relations. Group Decis. Negot., Vol. 24, 217-242. (2015)
Dong, Y., Chen, X., Herrera, F.: Minimizing adjusted simple terms in the consensus reaching process with hesitant linguistic assessments in group decision making. Inf. Sci., Vol. 297, 95-117. (2015)
Tomashevskii, I.: Eigenvector ranking method as a measuring tool: Formulas for errors. European Journal of Operational Research, Vol. 240, No. 3, 774-780. (2015)
Liu, L., Wang, W., Jiang, G., Zhang, J.: Identifying key node in multi-region opportunistic sensor network based on improved TOPSIS. Computer Science and Information Systems, Vol. 18, No. 3, 1041-1056. (2021)
Ishizaka, A., Lusti, M.: An expert module to improve the consistency of AHP matrices. International Transactions in Operational Research, Vol. 11, No. 1, 97-105. (2004)
Rezaei, J.: Best-worst multi-criteria decision-making method. Omega, 53, 49-57. (2015)
Rezaei, J.: Best-worst multi-criteria decision-making method: Some properties and a linear model. Omega, Vol. 64, 126-130. (2016)
Srdjevic, B.: Combining different prioritization methods in AHP synthesis. Comput. Oper. Res., Vol. 25, 1897-1919. (2005)
Saaty, T.: A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, Vol. 15, 234-281. (1977)
Saaty, T.: Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process. The Analytic Hierarchy Process Series 6, RWS Publications, Pittsburgh (1994)
Triantaphyllou, E.: Multi-Criteria Decision Making Methods: A Comparative Study. Kluwer Academic Publishers, Dordrecht. (2000)
Dong, Y., Herrera-Viedma, E.: Consistency-driven automatic methodology to set interval numerical scales of 2-tuple linguistic term sets and its use in the linguistic GDM with preference relations. IEEE Trans. Cybern. Vol. 45, 780-792. (2015)
Brunelli, M., Canal, L., Fedrizzi, M.: Inconsistency indices for pairwise comparison matrices: a numerical study. Ann Oper Res, Vol. 211, 493-509. (2013)
Mikhailov, L.: A fuzzy programming method for deriving priorities in the analytic hierarchy process. Journal of Operational Research Society, Vol. 51, 341-349. (2000)
Aguaron, J, Moreno-Jimenez, J.M.: The geometric consistency index: Approximated thresholds. European Journal of Operational Research, Vol. 147, 137-145 (2003)
Moreno-Jimenez, J.M., Aguaron, J., Escobar, M.T.: The core of consistency in AHP-group decision making. Group Decision and Negotiations, Vol. 17, 249-265. (2008)
Dong, Y., Xiao, J., Zhang, H., Wang, T.: Managing consensus and weights in iterative multiple-attribute group decision making. Applied Soft Computing, Vol. 48, 80-90. (2016)
Zhou, J.L., Xu, Q.Q., Zhang, X.Y.: Water Resources and Sustainability Assessment Based on Group AHP-PCA Method: A Case Study in the Jinsha River Basin. Water, Vol. 10, 1880. (2018)
Dong, J., Wan, S., Chen, S. M.: Fuzzy best-worst method based on triangular fuzzy numbers for multi-criteria decision-making. Information Sciences, Vol. 547, 1080-1104. (2021)
Liang, F., Brunelli, M., Rezaei, J.: Consistency Issues in the Best Worst Method: Measurements and Thresholds. Omega, 102175. (2019)
Guo, S., Zhao, H.: Fuzzy best-worst multi-criteria decision-making method and its applications. Knowledge-Based Systems, Vol. 121, 23-31. (2017)
Ali, A., Rashid, T.: Hesitant fuzzy best-worst multi-criteria decision-making method and its applications. International Journal of Intelligent Systems, Vol. 34, No. 8, 1953-1967 (2019)
Zhang, R., Xu, Z., Gou, X.: An integrated method for multi-criteria decision-making based on the best-worst method and Dempster-Shafer evidence theory under double hierarchy hesitant fuzzy linguistic environment. Applied Intelligence, 1-23. (2020)
Bai, C., Kusi-Sarpong, S., Badri Ahmadi, H., Sarkis, J.: Social sustainable supplier evaluation and selection: a group decision-support approach. International Journal of Production Research, Vol. 57, No. 22, 7046-7067 (2019)
Mi, X., Liao, H.: An integrated approach to multiple criteria decision making based on the average solution and normalized weights of criteria deduced by the hesitant fuzzy best worst method. Computers and Industrial Engineering, Vol. 133, 83-94. (2019)
Srđević, B., Kolarov, V.: AHP evaluation of alternative dispositions of pumping stations in a river basin. Journal of Water Resources Vodoprivreda, Vol. 37, 203-214. (In Serbian) (2005)
Srđević, Z., Srđević, B., Bubulj, S., Ilić, M.: Usability and efficiency of best-worst method in water resources related decision-making). Journal of Water Resources Vodoprivreda, Vol. 51, 147-154. (In Serbian) (2019)
Srdjevic, B., Srdjevic, Z., Kolarov, V.: Group evaluation of walnut cultivars as a multi-criteria decision-making process. 2004 CIGR International Conference, 11-14 October 2004, Beijing, China (2004)
Bubulj, S., Srđević, Z., Ilić, M., Srđević, B.: Selection and evaluation of the criteria for assessing the vulnerability of Ramsar wetlands in Vojvodina Province to the occurrence of drought events (Izbor i vrednovanje kriterijuma za ocenu ranjivosti ramsarskih područja u Vojvodini na pojavu sušnih perioda). Annals of Agronomy, Vol. 44, No. 1, 39-46 (In Serbian) (2020)
Srđević, B., Ilić, M.: Group model for evaluating criteria to be used in risk assessments of Ramsar protected wet areas. Journal of Water Resources Vodoprivreda, Vol. 52, No. 306-308, 273-286 (In Serbian) (2020)
Ramsar Convention Secretariat Ramsar Handbooks for the Wise Use of Wetlands. 3rd ed. Ramsar Convention Secretariat. Gland, Switzerland. (2004)