Multicriteria decision making model with Z-numbers based on FUCOM and MABAC model

  • Darko Bozanic University of defence in Belgrade, Military academy, Belgrade, Serbia
  • Duško Tešić University of Defense in Belgrade, Military Academy, Serbia
  • Aleksandar Milić University of Defense in Belgrade, Military Academy, Serbia
Keywords: FUCOM, MABAC, Z-number, fuzzy number, brigade command post

Abstract

In the paper is presented a model for selecting a location for a brigade command post during combat operations. Considering that this is a very complex model, which can be approached from several aspects, this paper is limited only to the criteria related to the construction or arrangement of the command post, respectively, the engineering aspect. The selection process is conducted using hybrid FUCOM – Z-number – MABAC model. The FUCOM method is used to define the weight coefficients of criteria based on which the selection is made. The MABAC method, modified by applying Z-number, is used to rank alternatives. The end results indicate that the application of Z-number in decision making includes broader set of uncertainties than standard fuzzy numbers, which is very important for deciding in combat situations.

Downloads

Download data is not yet available.

References

Aboutorab, H., Saberi, M., Asadabadi, M.R., Hussain, O. & Chang, E. (2018). ZBWM: The Z-number extension of Best Worst Method and its application for supplier development, Expert Systems With Applications, 107, 115-125.

Azadeh, A. & Kokabi, R. (2016). Z-number DEA: A new possibilistic DEA in the context of Z-numbers. Advanced Engineering Informatics, 30, 604–617.

Azadeh, A., Saberi, M. & Pazhoheshfar, P. (2013). Z-AHP: A Z-number Extension of Fuzzy Analytical Hierarchy Process. 7th IEEE International Conference on Digital Ecosystems and Technologies (DEST), 141-147.

Badi, I. & Abdulshahed, A. (2019). Ranking the Libyan Airlines by using Full Consistency Method (FUCOM) and Analytical Hierarchy Process (AHP). Operational Research in Engineering Sciences: Theory and Applications, 2(1), 1-14.

Bobar, Z., Božanić, D., Djurić, K.A. & Pamučar, D. (2020). Ranking and Assessment of the Efficieny of Social Media using the Fuzzy AHP-Z Number Model – Fuzzy MABAC. Acta Polytechnica Hungarika, 17(3), 43-70.

Božanić, D., Kočić, J. & Tešić, D. (2018). Selecting location for construction of single-span Bailey Bridge by applying fuzzy MABAC method. Procedings of The 2nd International Conference on Management, Engineering and Environment, Obrenovac, Serbia, 407-416.

Božanić, D., Pamučar, D. & Karovic, S. (2016a). Use of the fuzzy AHP - MABAC hybrid model in ranking potential locations for preparing laying-up positions. Military Technical Courier/Vojnotehnički glasnik, 64, 705-729.

Božanić, D., Pamučar, D. & Karović, S. (2016b). Application the MABAC method in support of decision-making on the use of force in a defensive operation. Tehnika, 71(1), 129-137.

Cao, Q., Esangbedo, M.O., Bai, S. & Esangbedo, C.O. (2019). Grey SWARA-FUCOM Weighting Method for Contractor Selection MCDM Problem: A Case Study of Floating Solar Panel Energy System Installation. Energies, 12, 2481.

Chatterjee, P., Mondal, S., Boral, S., Banerjee, A. & Chakraborty, S. (2017) Novel hybrid method for non-traditional machining process selection using factor relationship and Multi-Attributive Border Approximation Method. Facta Universitatis, Series: Mechanical Engineering, 15(3), 439-456.

Chutia, R., Mahanta, S. & Datta, D. (2013). Linear equations of generalized triangular fuzzy numbers. Annals of Fuzzy Mathematics and Informatics, 6(2), 371-376.

Durmić, E., Tomašević, M., Vasiljević, M., Stević, Ž. & Chatterjee, P. (2019). An integrated FUCOM-rough SAW model for sustainable supplier evaluation. Procedings of the Seventh international conference Transport and Logistics, Niš, Serbia, 21-27.

Gigović, LJ., Pamučar, D., Božanić, D. & Ljubojević, S. (2017). Application of the GIS-DANP-MABAC multi-criteria model forselecting the location of wind farms: A case study of Vojvodina, Serbia. Renewable Energy, 103, 501-521.

Hondro, R.K. (2018). MABAC: Pemilihan Penerima Bantuan Rastra Menggunakan Metode Multi- Attributive Border Approximation Area Comparison. Jurnal Mahajana Informasi, 3 (1), 41-52.

Hristov, S. (1978). Organization of engineering work (Only in Serbian: Organizacija inžinjerijskih radova). Belgrade: Military publishing institute/Vojnoizdavački zavod.

Hu, J., Chen, P. & Yang, Y. (2019). An Interval Type-2 Fuzzy Similarity-Based MABAC Approach for Patient-Centered Care. Mathematics, 7, 140.

Ibrahimović, F.I., Kojić, S.Lj., Stević, Ž.R. & Erceg, Ž.J. (2019). Making an investment decision in a transportation company using an integrated FUCOM-MABAC model. Tehnika, 69(4), 577-584.

Ji, P., Zhang, H.-Y. & Wang, J. (2018). Selecting an outsourcing provider based on the combined MABAC–ELECTRE method using single-valued neutrosophic linguistic sets. Computers & Industrial Engineering, 120, 429-441.

Kang, B., Wei, D., Li, Y. & Deng, Y. (2012a). Decision Making Using Z-numbers under Uncertain Environment. Journal of Computational Information Systems, 8, 2807-2814.

Kang, B., Wei, D., Li, Y. & Deng, Y. (2012b). A Method of Converting Z-number to Classical Fuzzy Number. Journal of Information & Computational Science, 9(3), 703-709.

Liou, T.S. & Wang, M.J. (1992). Ranking fuzzy numbers with integral value. Fuzzy Sets and Systems, 50, 247-256.

Luo, S.Z. & Xing, L.N. (2019). A Hybrid Decision Making Framework for Personnel Selection Using BMW, MABAC, PROMETHEE. Interantional Journal, of Fuzzy Systems, 21(8), 2421-2424.

Majchrzycka A. & Poniszewska-Maranda A. (2018) Control Operation Flow for Mobile Access Control with the Use of MABAC Model. In: Kosiuczenko P., Madeyski L. (eds) Towards a Synergistic Combination of Research and Practice in Software Engineering. Studies in Computational Intelligence, vol 733. Springer, Cham.

Military Lexicon (Only in Serbian: Vojni leksikon) (1981). Belgrade: Military publishing institute/Vojnoizdavački zavod.

Pamučar, D. & Božanic, D. (2019). Selection of a location for the development of multimodal logistics center: application of single – valued neutrosophic MABAC model. Operational Research in Engineering Sciences: Theory and Applications, 2(2), 55-71.

Pamučar, D., & Ćirović, G (2015). The selection of transport and handling resources in logistics centres using Multi-Attributive Border Approximation area Comparison (MABAC). Expert systems with applications, 2015, 42(6), 3016-3028

Pamučar, D., Božanić, D. & Ranđelović, A. (2017). Multi-criteria decision making: An example of sensitivity analysis. Serbian Journal of Management, 12(1), 1-27.

Pamučar, D., Đorović, B., Božanić, D. & Ćirović, G. (2012). Modification of the dynamic scale of marks in analytic hierarchy process (ahp) and analytic network approach (anp) through application of fuzzy approach. Scientific Research and Essays, 7(1), 24-37.

Pamučar, D., Stević, Ž. & Sremac, S. (2018). A New Model for Determining Weight Coefficients of Criteria in MCDM Models: Full Consistency Method (FUCOM), Symmetry, 10, 393.

Peng, X. & Dai, J. (2018). Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function. Neural Computing and Applications, 29(10), 939–954.

Peng, X. & Yang, Y. (2016). Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making. International Journal of Intelligent Systems, 31, 989-1020.

Prentkovskis, O., Erceg, Ž., Stević, Ž., Tanackov, I., Vasiljević, M. & Gavranović, M. (2018). A New Methodology for Improving Service Quality Measurement: Delphi-FUCOM-SERVQUAL Model. Simmetry, 10, 757.

Puška, A., Stojanović, I. & Maksimović, A. (2019). Evaluation of sustainable rural tourism potential in Brcko district of Bosnia and Herzegovina using multi-criteria analysis. Operational Research in Engineering Sciences: Theory and Applications, 2(2), 40-54.

Roy, A., Ranjan, A., Debnath, A. & Kar, S. (2016). An extended Multi Attributive Border Approximation area Comparison using interval type-2 trapezoidal fuzzy numbers. ArXiv ID: 1607.01254.

Roy, J., Chatterjee, K., Bandhopadhyay, A. & Kar, S. (2017). Evaluation and selection of Medical Tourism sostes: A rough Analytic Hierarchy Process based Multi Attributive Border Approximation area Comparison approach. Expert Systems, e12232, https://doi.org/10.1111/exsy.12232.

Sahrom, N.A. & Dom, R.M. (2015). A Z-number extension of the hybrid Analytic Hierarchy Process-Fuzzy Data Envelopment Analysis for risk assessment. Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education (ICREM7), Kuala Lumpur, Malaysia, 19-24.

Salari, M., Bagherpur, M. & Wang, J. (2014). A novel earned value management model using Z-number. Interational Joural of Applied Decision Sciences, 7(1), 97-118.

Šećković, V. (1972). Engineering reconnaissance (Only in Serbian: Inžinjerijsko izviđanje) Belgrade: Military printing company/Војна штампарија.

Seiford, L.M. (1996). The evolution of the state-of-art (1978-1995). Journal of Productivity Analysis, 7, 99-137.

Sharma, H.K., Roy, J., Kar, S. & Prentkovskis, O. (2018). Multi criteria evaluation framework for prioritizing indian railway stations using modified rough ahp-mabac method. Transport and Telecommunication, 19(2), 113-127.

Stević, Ž., Pamučar, D. & Sremac, S. (2019). An integrated FUCOM-EDAS model for decision making in transportation of dangerous goods. Procedings of the XV International May Conference on Strategic Management, 15(1), Bor, Serbia, 17-25.

Sun, R., Hu, J., Zhou, J. & Chen, X. (2018). A Hesitant Fuzzy Linguistic Projection – Based MABAC Method for Patients’ Priorizitation. International Journal of Fuzzy Systems, 20 (7), 2144-2160.

Wei, G., Wei, C., Wu, J. & Wang, H. (2019). Supplier Selektion of Medical Products with a Probabilistik Linguistic MABAC method. Environmental Research and Public Health, 16, 5082.

Xue, Y.X., You, J.X., Lai, X.D. & Liu, H.C. (2016). An interval-valued intuitionistic fuzzy MABAC approach for materila selection with incomplete weight information. Applied Soft Computing, 38, 703-713.

Yaakob, A.M. & Gegov. A. (2015). Fuzzy Rule-Based Approach with Z-Numbers for Selection of Alternatives using TOPSIS. IEEE International Conference on Fuzzy Systems At Istanbul, Turkey, 1-8.

Yu, S-M., Wang, J. & Wang, J-Q. (2017) An Interval Type-2 Fuzzy Likelihood-Based MABAC Approach and Its Aplication in Selecting Hotels on a Tourism Website. International Journal of Fuzzy Systems, 19(1), 47-61.

Zadeh, L.A. (2011). A note on Z-number. Information Sciences, 181, 2923-2932.

Published
2020-04-12
How to Cite
Bozanic, D., Tešić, D., & Milić, A. (2020). Multicriteria decision making model with Z-numbers based on FUCOM and MABAC model. Decision Making: Applications in Management and Engineering, 3(2), 19-36. Retrieved from https://dmame.rabek.org/index.php/dmame/article/view/72