Application of hybrid model fuzzy AHP - VIKOR in selection of the most efficient procedure for rectification of the optical sight of the long-range rifle

Marko Radovanovic; Aca  Ranđelović; Željko  Jokić

doi:10.31181/dmame2003131r

Authors

Marko Radovanovic University of Defence, Military academy, Belgrade, Serbia
Aca Ranđelović University of Defence, Military academy, Belgrade, Serbia
Željko Jokić University of Defence, Military academy, Belgrade, Serbia

DOI:

https://doi.org/10.31181/dmame2003131r

Keywords:

Fuzzy AHP, VIKOR, multi-criteria decision-making, rectification, long-range rifle.

Abstract

The paper presents a decision support model when choosing the most efficient rectification procedure of the optical sight of the long - range rifle. The model is based on the fuzzy AHP method and the VIKOR method. Using the fuzzy AHP method, coefficient values of the criteria were defined. Fuzzification of the AHP method was performed by combining data obtained from experts - comparison of criteria in pairs and the degree of confidence in the comparison. Using the VIKOR method, the best alternative was selected. Through the paper, the criteria that condition this choice are elaborated and the application of the method in a specific situation is presented. Also, the paper presents the sensitivity analysis of the developed model.

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References

Afriliansyah, A., Nababan, T. B. E., & Situmorang, Z., (2019). Performance Analysis of Fuzzy AHP in the rankings. Proceedings of the 1st Workshop on Multidisciplinary and its Applications Part 1, WMA-01 2018, Aceh, Indonesia.

Badi, I. & Abdulshahed, А. (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.

Bojanic, D., Kovač, M., Bojanic, M. & Ristic, V. (2018). Multi-criteria decision-making in a defensive operation of the Guided anti-tank missile battery: an example of the hybrid model fuzzy AHP – MABAC. Decision Making: Applications in Management and Engineering, 1(1), 51-66.

Božanić, D. (2017). Model of decision support in overcoming water obstacles in Army combat operations, (Only in Serbian: Model podrške odlučivanju pri savladivanju vodenih prepreka u napadnoj operaciji Kopnene vojske), Ph.D. thesis, University of Defence in Belgrade, Military Academy, Belgrade.

Božanić, D., Karović, S. & Pamučar, D. (2015a). Fuzzification of the Saaty’s scale using a triangular fuzzy number with variable confidence interval. Proccedings 42nd International Symposium on Operational Research, SYMOPIS 2015, Srebrno jezero, Serbia, 420 – 424.

Božanić, D., Pamučar, D. & Bojanić, D. (2015b). Modification of the Analytic Hierarchy Proces (AHP) Method using fuzzy logic: fuzzy AHP approach as a support to the decision making process concerning engagement of the Group for Additional Hindering. Serbian Journal of Management, 10 (2), 151-171.

Božanić, D., Pamučar, D. & Đorović, B. (2013). Modification of the AHP method and its application in decision making in the defense system. Tehnika, 63 (2), 327-334.

Božanić, D., Pamučar, D. & Karović, S. (2016). Use of the fuzzy AHP - MABAC hybrid model in ranking potential locations for preparing laying-up positions. Vojnotehnički glasnik/Military Technical Courier, 64 (3), 705-729.

Božanić, D., Tešić, D. & Milićević, J. (2018). A hybrid fuzzy AHP-MABAC model: Application in the Serbian Army – The selection of the location for deep wading as a technique of crossing the river by tanks. Decision Making: Applications in Management and Engineering, 1 (1), 143-164.

Chatterjee, Р. & Stević, Ž. (2019). A two-phase fuzzy AHP - fuzzy TOPSIS model for supplier evaluation in manufacturing environment. Operational Research in Engineering Sciences: Theory and Applications, 2 (1), 72-90.

Chatterjee, P. & Chakrabortyb, S., (2016). A comparative analysis of VIKOR method and its variants. Decision Science Letters, 5, 469-486.

Herrera, F. & Martínez, L. (2000). An Approach for Combining Numerical and Linguistic Information based on the 2-tuple fuzzy linguistic representation model in Decision Making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8, 539-562.

Ince, O. (2007). Selection of an ERP software system by using fuzzy VIKOR, Proceedings of the 10th Joint Conference: Information Science, Salt Lake City, Utah, USA, 1708.

Jokić, Ž., Delibašić, B., & Komljenović S. (2019). Application of the VIKOR method when selecting caliber for automatic rifles for the purpose of implementation in operational use in units of the Serbian Army. Vojno delo, 71 (6), 200-221.

Kokelj, T. & Ranđelović, A. (2018). Shooting theory. (Only in Serbian: Teorija gadjanja). Belgrade: S4 GloSec Global Security Ltd.

Kuo, M. S. & Liang, G. S. (2011). Combining VIKOR with GRA techniques to evaluate service quality of airports under fuzzy environment. Expert Systems with Applications, 38 (3), 1304 -1312.

Li, X., & Song, W. (2016). A Rough VIKOR – Based QFD for Prioritizing Design Attributes of Product- Related Service. Mathematical Problems in Engineering, 2016, 1-11.

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

Long-range rifle 12.7 mm M93 (description, handling and maintenance). (Only in Serbian: Puška dalekometna 12,7 mm M93 (opis, rukovanje i održavanje)). (2010). Belgrade: MoD RS.

Milićević, M. (2014). Expert evaluation. (Only in Serbian: Ekspertsko ocenjivanje) Belgrade: Media Center "Obrana".

Nikolić, M., Radovanović, Lj., Desnica, E. & Pekez, J. (2010). Application of the VIKOR method for the selection of the maintenance strategy. Tehnička dijagnostika, 9 (4), 25-32.

Nisel, S. (2014). An extended VIKOR method for ranking online graduate business programs. International Journal of Information and Education Technology, 4 (1), 103-107.

Opricović, S. & Tzeng, G. H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156 (2), 445-455.

Opricović, S. (1986). Multi-criteria optimization. (Only in Serbian: Višekriterijumska optimizacija) Belgrade: Scientific book.

Opricović, S. (1998). Multicriteria system optimization in construction. (Only in Serbian: Višekriterijumska optimizacija sistema u građevinarstvu). Belgrade: Faculty of Civil Engineering Belgrade.

Optical sight ON PD 12.7 mm M93 for long-range rifle "Zastava" 12.7 mm M93 (description, handling and maintenance) - temporary rule. (Only in Serbian: Optički nišan ON PD 12,7 mm M93 za pušku dalekometnu „Zastava“ 12,7 mm M93 (opis, rukovanje i održavanje)). (1998). Teslić: „Zrak – Precizna mehanika“.

Osintsev, A. N., Rakhmangulov N. A., Sladkowski V. A., (2020). A fuzzy AHP-TOPSIS approach for green logistics instruments ranking. Transport of the Urals, 64 (1), 3-14.

Pamučar, D., Božanić, D. & Kurtov, D. (2016a). Fuzzification of the Saaty’s scale and presentation of the hybrid fuzzy AHP – TOPSIS model: an example of the selection of a brigade artillery group firing position in a defensive operation. Vojnotehnički glasnik/Military Technical Courier, 64 (4), 966-986.

Pamučar, D., Božanić, D. & Milić, A. (2016b). Selection of a course of action by Obstacle Employment Group based on a fuzzy logic system. Yugoslav Journal of Operations Research, 26 (1), 75-90.

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

Petrović, I., Gordić, M. & Kankaraš, M. (2018). Fazzy - AHP approach in evaluating the criteria for selecting a missile system for anti - aircraft operations. Vojno delo, 70 (2), 298-308.

Purpose, description and handling of the 12.7 mm M93 long-range rifle. (Only in Serbian: Namena, opis i rukovanje puškom dalekometnom 12,7 mm M93.) (1999) (temporary instruction), Belgrade: General Staff of the Yugoslav Army.

Radovanović, M. & Stevanović, M. (2020). Analysis of the construction characteristics of automatic domestic production rifles. Serbian Journal of Engineering Management, 5 (1), 40 – 49.

Radovanović, M. (2016). Analysis of the accuracy of rectification of sights of a long - range sniper rifle 12.7 mm M93. Thesis, (Only in Serbian: Analiza tačnosti rektifikacije nišana dalekometne snajperske puške 12,7 mm M93. ) Belgrade: Military Academy.

Radovanović, M., Ranđelović A., Blagojević A. & Repić P. (2016). Rectification accuracy of long range 12,7 mm M93 rifle scope. Proceedings: 7th DQM International Conference Life Cycle Engineering and Management ICDQM – 2016, Prijevor, Serbia. 535 - 540.

Radovanović, M., Ranđelović, A. & Milić A. (2019). Comparative analysis of anti - armor systems using the AHP method. (Only in Serbian: Komparativna analiza protivoklopnih sistema korišćenjem AHP metode). Vojno delo, 69 (7), 234 -250.

Radovanović, M., Samopjan, M. & Stevanović, M. (2020). Application of AHP – VIKOR method of multicriteria decision making for selection of automatic rifle of domestic production. Proceedings: 11th DQM International Conference Life Cycle Engineering and Management ICDQM – 2020, Prijevor, Serbia. 303 – 311.

Ranđelović, A., Radovanović, M. & Stevanović, M. (2019a). The impact of a 12,7 mm M93 long-range rifle sight rectification on the execution of tasks in counterterrorism operation. 22nd International DQM Conference ICDQM Quality and Reliability Management 2019, Prijevor, Serbia, 345 – 351.

Ranđelović, A., Radovanović, M. & Stevanović, M., (2019b) Comparative analysis of anti-armor missile systems using the AHP method in order to equip units of the Serbian Army. 22nd International DQM Conference on Quality and Reliability Management, Prijevor, Serbia, 336-344.

Saaty, T. L. (1980). The analytic hierarchy process. New York: McGraw-Hill.

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

Shemshadi, A., Shirazi, H., Toreihi, M. & Tarokh M.J. (2011). A fuzzy VIKOR method for supplier selection based on entropy measure for objective weighting. An International Journal – Expert Systems with Aplications, 38 (10), 12160-12167.

Srđević, B., & Zoranović, T., (2003). AHP in group decision-making with complete and incomplete information, Proceedings of the XXX Symposium on Operational Research (SYM-OP-IS 2003), 727-730.

Stević, Ž., Badi, I., Tanackov, I., & Miličić, G., (2017). Supplier selection in furniture production company using rough AHP and rough TOPSIS. Proceedings of the VI International Symposium NEW HORIZONS 2017 of transport and communications, Doboj, BiH, 524-533.

Tešić, D. & Božanić, D. (2018). Application of the MAIRCA method in the selection of places for crossing tanks under water. Tehnika, 68 (6), 860 -867.

Wang, Z., Gao, J., Wang, R., Chen, K., Gao, Z., & Zheng, W. (2018). Failure Mode and Effects Analysis by Using the Hous of Reliability – Based Rough VIKOR Approach. IEEE Transactions on Reliability, 67 (1), 230-248.

Zhu, G. N,, Hu J., & Ren H., (2020). A fuzzy rough number-based AHP-TOPSIS for design concept evaluation under uncertain environments. Applied Soft Computing, 91, 106228.