An Innovative Application On Supermarket Selection Through Using Intuitionistic Fuzzy TOPSIS Method

Year 2022, Volume: 26 Issue: 5, 1029 - 1039, 20.10.2022

Feride Tuğrul

https://doi.org/10.16984/saufenbilder.1147123

Abstract

Multi-criteria decision making methods have recently attracted the attention of researchers and have had a large share in multidisciplinary fields. In this study, using the intuitionistic fuzzy TOPSIS method, supermarket chains were evaluated in the consumer context and the most preferred supermarket was determined. Consumers' opinions were expressed using linguistic term. The reason why the intuitionistic fuzzy TOPSIS method is preferred; it is the ability of consumers to express their opinions easily, to take into account the undecided situations with the help of intuitionistic fuzzy sets, and thus to create an objective decision making mechanism.

Keywords

Intuitionistic fuzzy sets, TOPSIS, Market selection.

References

• [1] L. A. Zadeh, “Information and Control,” Fuzzy sets, vol.8, no.3, pp.338-353, 1965.
• [2] K. T. Atanassov, “Intuitionistic Fuzzy Sets,” VII ITKR's Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.). Reprinted: Int. J. Bioautomation, 20(S1), pp.1-6, 2016.
• [3] M. H. Aghdaie, S. Hashemkhani Zolfani, E. K. Zavadskas, “Market Segment Evaluation And Selection Based on Application of Fuzzy AHP and Copras-G Methods,” Journal of Business Economics and Management, vol.14, no.1, pp.213–233, 2013.
• [4] G. Büyüközkan, “Multi-Criteria Decision Making For E-Marketplace Selection,” Internet Research, vol.14, no.2, pp. 139-154, 2004.
• [5] M. K. Ghorabaee, M. Amiri, E. K. Zavadskas, R. Hooshmand, J. Antuchevičienė, “Fuzzy Extension of the CODAS Method for Multi-Criteria Market Segment Evaluation,” Journal of Business Economics and Management, vol.18, no.1, pp.1-19, 2017.
• [6] D. Górecka, M. Szałucka, "Country Market Selection in International Expansion Using Multicriteria Decision Aiding Methods," Multiple Criteria Decision Making, vol.8, pp.32-55, 2013.
• [7] M. Keshavarz Ghorabaee, M. Amiri, E. K. Zavadskas, R. Hooshmand, J. Antuchevıčıenė, “Fuzzy Extension Of The Codas Method For Multi-Criteria Market Segment Evaluation,” Journal of Business Economics and Management, vol.18, no.1, pp.1-19, 2017.
• [8] L. A. A. Teixeira, Á. M. F. Pires, M. A. Alvarenga, J. T. M. Silva, “Supermarket’s Executives and the Decision Process about Format Location and Price,” Aust. J. Basic & Appl. Sci., vol.9, no.7, pp.503-511, 2015.
• [9] N. Tosun, “Target Market Selection in Fresh Fruit-Vegetable Sector Using Fuzzy VIKOR Method,” Journal of Management Marketing and Logistics, vol.4, no.4, pp.465-471, 2017.
• [10] K. Valaskova, K. Kramarova, V. Bartosova, Multi Criteria Models Used in Slovak Consumer Market For Business Decision Making. Procedia Economics and Finance, vol.26, pp.174-182, 2015.
• [11] K. T. Atanassov, “Intuitionistic Fuzzy Sets,” Springer, Berlin, Heidelberg, 1999.
• [12] M. B. Ayhan, “An Integrated Hesitant Fuzzy AHP And TOPSIS Approach For Selecting Summer Sport School,” Sakarya Unıversity Journal of Science, vol.22, no.2, pp.269-284, 2018.
• [13] F. E. Boran, S. Genç, M. Kurt, D. Akay,“A Multi-Criteria Intuitionistic Fuzzy Group Decision Making For Supplier Selection With TOPSIS Method,” Expert Systems with Applications, vol.36, no.8, pp.11363-11368, 2009.
• [14] F. E. Boran, “An Integrated Intuitionistic Fuzzy Multi Criteria Decision Making Method For Facility Location Selection,” Mathematical and Computational Applications, vol.16, no.2, pp.487-496, 2011.
• [15] F. E. Boran, K. Boran, T. Menlik, “The Evaluation of Renewable Energy Technologies For Electricity Generation in Turkey Using Intuitionistic Fuzzy TOPSIS,” Energy Sources, Part B: Economics, Planning, and Policy, vol.7, no.1, pp.81-90, 2012.
• [16] G. Büyüközkan, S. Güleryüz, “An Application of Intuitionistic Fuzzy Topsis on Mobile Phone Selection,” In 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 1-8, August, 2015.
• [17] T. Y. Chen, C. Y. Tsao, “The Interval-Valued Fuzzy TOPSIS Method and Experimental Analysis,” Fuzzy Sets and Systems, vol.159, no.11, pp.1410-1428, 2008.
• [18] M. Çitil, F. Tuğrul, “Some New Equalities On The Intuitionistic Fuzzy Modal Operators,” Sakarya University Journal of Science, vol.22, no.6, pp.1524-1531, 2018.
• [19] G. Çuvalcıoğlu, S. Tarsuslu, A. Bal, G. Artun, “Intuitionistic Fuzzy Modal Operators in Intelligent System for Pesticide and Fertilization" Annals of Fuzzy Mathematics and Informatics, vol.16, no.1, pp.117-132, 2018.
• [20] G. Çuvalcıoğlu, S. Yılmaz, K. T. Atanassov, “Matrix Representation Of The Second Type Of Intuitionistic Fuzzy Modal Operators,” Notes on Intuitionistic Fuzzy Sets, vol.20, no.5, pp.9-16, 2014.
• [21] E. Damgacı, K. Boran, F. Boran, “Evaluation of Turkey's Renewable Energy Using Intuitionistic Fuzzy TOPSIS Method,” Journal of Polytechnic, vol.20, no.3, pp.629-637, 2017.
• [22] L. Dymova, K. Kaczmarek, P. Sevastjanov, Ł. Sułkowski, K. Przybyszewski, “An Approach to Generalization of the Intuitionistic Fuzzy TOPSIS Method in The Framework of Evidence Theory,” Journal of Artificial Intelligence and Soft Computing Research, 11, 2021.
• [23] B. Efe, F. E. Boran, M. Kurt, “Ergonomic Product Concept Selection Using Intuitionistic Fuzzy TOPSIS,” Suleyman Demirel University Journal of Engineering Sciences and Design, vol.3, no.3, pp.433-440, 2015.
• [24] M. Erdoğan, “A New Fuzzy Approach for Analyzing the Smartness of Cities: Case Study for Turkey,” Sakarya University Journal of Science, vol.25, no.2, pp.308-325, 2021.
• [25] İ. Güven, F. Şimşir, “Machine-Part Formation for Cellular Manufacturing in Group Technology: An Application for Furniture Company,” Sakarya University Journal of Science, vol.25, no.2, pp.466-483, 2021.
• [26] D. Joshi, S. Kumar, “Intuitionistic Fuzzy Entropy and Distance Measure Based TOPSIS Method For Multi-Criteria Decision Making,” Egyptian Informatics Journal, vol.15, no.2, pp.97-104, 2014.
• [27] B. D. Rouyendegh, “The DEA And Intuitionistic Fuzzy TOPSIS Approach To Departments' Performances: A Pilot Study,” Journal of Applied Mathematics, 2011.
• [28] B .D. Rouyendegh, T. E. Saputro, “Supplier Selection Using Integrated Fuzzy TOPSIS And MCGP: A Case Study,” Procedia-Social and Behavioral Sciences, vol.116, pp.3957-3970, 2014.
• [29] B. D. Rouyendegh, “Developing an Integrated ANP and Intuitionistic Fuzzy TOPSIS Model For Supplier Selection,” Journal of Testing and Evaluation, vol. 43, no. 3, pp. 664–672, 2015.
• [30] B. D. Rouyendegh, A. Yıldızbaşı, Ü. Z. Arıkan, “Using Intuitionistic Fuzzy TOPSIS in Site Selection Of Wind Power Plants in Turkey,” Advances in Fuzzy Systems, 2018.
• [31] B. D. Rouyendegh, A. Yıldızbaşı, P. Üstünyer, “Intuitionistic Fuzzy TOPSIS Method For Green Supplier Selection Problem,” Soft Computing, vol.24, no.3, pp.2215-2228, 2020.
• [32] E. K. Tekez, N. Bark, “Supplier Selection For Furniture Industry with Fuzzy TOPSIS Method,” Sakarya Unıversity Journal of Science, vol.20, no.1, pp.55-63, 2016.
• [33] F. Tuğrul, M. Çitil, S. Balcı, “On The Determination Students’ Aptitude Using Intuitionistic Fuzzy Logic,” Journal of Universal Mathematics, vol.2, no.1, pp.36-41, 2019.
• [34] F. Tuğrul, M. Çitil, B. Karasolak, M. Dağlı, “Interpretation of Physical Conditions of Schools with Fuzzy Multi Criteria Decision Making,” Journal of Universal Mathematics, vol.3, no.1, pp.46-52, 2020.
• [35] K. T. Atanassov, “Intuitionistic fuzzy sets, Fuzzy Sets and Systems,” vol.20, no.1, pp.87-96, 1986.
• [36] Y. Wu, J. Zhang, J. Yuan, S. Geng, H. Zhang, “Study Of Decision Framework Of Offshore Wind Power Station Site Selection Based On ELECTRE-III Under Intuitionistic Fuzzy Environment: A Case Of China,” Energy Convers Manag, vol.113, pp.66-81, 2016.
• [37] Z. S. Xu, “Intuitionistic Fuzzy Aggregation Operators,” IEEE Transactions on Fuzzy Systems, vol.15, pp.1179-1187, 2007.
• [38] M. Çitil, “Application of the Intuitionistic Fuzzy Logic in Education,” Communications in Mathematics and Applications, vol.10, no.1, pp.131-143, 2019.
• [39] E. Szmidt, J. Kacprzyk, “Distances Between Intuitionistic Fuzzy Sets,” Fuzzy Sets Syst., vol. 114, pp.505-518, 2000.
• [40] M. Levy, B. Weitz, “Retailing Management” McGraw-Hill/Irwin Publisher, 2008.
• [41] A.Yang, B. Do, G.L. Wang, L. Y. Chang, F. C. Hung, “Assessing Competitiveness of Foreign And Local Supermarket Chains in Vietnamese Market by Using Fuzzy TOPSIS Method,” E3 Journal of Business Management and Economics, vol.2, no.5, pp.209-216, 2011.
• [42] G. Çuvalcıoğlu, “Some Properties of Controlled Set Theory,” Notes on Intuitionistic Fuzzy Sets, vol.20, no.2, pp.37-42, 2014.