An Integrated Circular Intuitionistic Fuzzy SWARA-TOPSIS Framework for Supplier Selection: Evidence from Pia Cap Mangkok

Putri Rosmerry Retno Sahabir, Vira Hari Krisnawati, Marsudi Marsudi

Abstract


In food industries, supplier evaluation and selection are strategic activities that influence product freshness, operational continuity, and supply chain sustainability. However, this process is often hindered by uncertainty and ambiguity in expert judgments. In response to these challenges, the present study proposes an integrated decision-making method that combines Circular Intuitionistic Fuzzy Set (CIFS), the Stepwise Weight Assessment Ratio Analysis (SWARA), and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). CIFS capture uncertainty in expert opinions, SWARA determines systematic criteria weights, and TOPSIS—enhanced with the Garg et al. distance measure—ranks suppliers based on aggregated evaluations. The evaluation involves seven key criteria: flexibility, capacity, quality, service, reputation, price, and lead time, assessed across five potential suppliers. Applied to Toko Pia Cap Mangkok, a traditional snack producer in Malang, Indonesia, the method identifies lead time, capacity, and reputation as the most critical criteria. Among the alternatives, Supplier $A_1$ consistently ranks first across optimistic, pessimistic, and combined scenarios, confirming its robustness and reliability, followed by Supplier $A_2$, while others perform less competitively. This study advances fuzzy-based multi-criteria decision-making by integrating CIFS–SWARA–TOPSIS, ensuring reliable supplier selection under uncertainty and offering a replicable framework for decision-makers in the food industry.

Keywords


Circular Intuitionistic Fuzzy Set; Multi-Criteria Decision Making; Supplier Selection; SWARA; TOPSIS.

Full Text:

PDF

References


M. M. Aung and Y. S. Chang, “Traceability in a food supply chain: Safety and quality perspectives,” Food Control, vol. 39, pp. 172–184, 2014. doi: https://doi.org/10.1016/j.foodcont.2013.11.007. Available online.


H. Gao, X. Dai, L. Wu, J. Zhang, and W. Hu, “Food safety risk behavior and social co-governance in the food supply chain,” Food Control, vol. 152, p. 109 832, 2023. doi:https://doi.org/10.1016/j.foodcont.2023.109832. Available online.


J. Astill et al., “Transparency in food supply chains: A review of enabling technology solutions,” Trends in Food Science Technology, vol. 91, pp. 240–247, 2019. doi: https://doi.org/10.1016/j.tifs.2019.07.024. Available online.


H. Taherdoost and A. Brard, “Analyzing the process of supplier selection criteria and methods,” Procedia Manufacturing, vol. 32, pp. 1024–1034, 2019, 12th International Conference Interdisciplinarity in Engineering, INTER-ENG 2018, 4–5 October 2018, Tirgu Mures,Romania. doi: https://doi.org/10.1016/j.promfg.2019.02.317. Available online.


K. T. Atanassov, “Circular intuitionistic fuzzy sets,” Journal of Intelligent & Fuzzy Systems,vol. 39, no. 5, pp. 5981–5986, 2020. doi: 10.3233/JIFS-189072. eprint: https://journals.sagepub.com/doi/pdf/10.3233/JIFS189072. Available online.


T. -Y. Chen, “A circular intuitionistic fuzzy evaluation method based on distances from the average solution to support multiple criteria intelligent decisions involving uncertainty,”
Engineering Applications of Artificial Intelligence, vol. 117, p. 105 499, 2023. doi: https://doi.org/10.1016/j.engappai.2022.105499. Available online.


C.- L. Hwang and K. Yoon, Multiple Attribute Decision Making: Methods and Applications: A State-of-the-Art Survey (Lecture Notes in Economics and Mathematical Systems). Berlin,Heidelberg: Springer-Verlag, 1981, vol. 186. doi: 10.1007/978-3-642-48318-9.


A. Baykasoğlu, V. Kaplanoğlu, Z. D. Durmuşoğlu, and C. Şahin, “Integrating fuzzy dematel and fuzzy hierarchical topsis methods for truck selection,” Expert Systems with Applications, vol. 40, no. 3, pp. 899–907, 2013, FUZZYSS11: 2nd International Fuzzy Systems Symposium
17-18 November 2011, Ankara, Turkey. doi: https://doi.org/10.1016/j.eswa.2012.0
5.046. Available online.


V. Keršulien˙e, E. Zavadskas, and Z. Turskis, “Selection of rational dispute resolution method by applying new step-wise weight assessment ratio analysis (swara),” Journal of Business Economics and Management - J BUS ECON MANAG, vol. 11, Jun. 2010. doi:10.3846/jbem.2010.12.


D. Tripathi, S. K. Nigam, A. R. Mishra, and A. R. Shah, “A novel intuitionistic fuzzy distance measure-swara-copras method for multi-criteria food waste treatment technology selection,” Operational Research in Engineering Sciences: Theory and Applications, vol. 6, no. 1, Oct. 2022. doi: 10.31181/oresta111022106t. Available online.


H. Garg, D. Dutta, P. Dutta, and B. Gohain, “An extended group decision-making algorithm with intuitionistic fuzzy set information distance measures and their applications,”
Computers Industrial Engineering, vol. 197, p. 110 537, 2024. doi: https://doi.org/10.1016/j.cie.2024.110537. Available online.


E. Ç. Büyükselçuk, “Evaluation of industrial iot service providers with topsis based on circular intuitionistic fuzzy sets,” Computers, Materials and Continua, vol. 80, no. 1, pp. 715–746, 2024. doi: https://doi.org/10.32604/cmc.2024.052509. Available online.


L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353, 1965. doi:10.1016/S0019-9958(65)90241-X.

K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87–96, 1986. doi: 10.1016/S0165-0114(86)80034-3.

Z. Xu, “Intuitionistic fuzzy aggregation operators,” IEEE Transactions on Fuzzy Systems,vol. 15, no. 6, pp. 1179–1187, 2007. doi: 10.1109/TFUZZ.2006.890678.

S. Alinejad, M. Alimohammadlou, A. Abbasi, and S. -H. Mirghaderi, “Smart-circular strategies for managing biomass resource challenges: A novel approach using circular intuitionistic fuzzy methods,” Energy Conversion and Management, vol. 314, p. 118 690,2024. doi: https://doi.org/10.1016/j.enconman.2024.118690. Available online.


A. Rasmussen, H. Sabic, S. Saha, and I. E. Nielsen, “Supplier selection for aerospace defense industry through mcdm methods,” Cleaner Engineering and Technology, vol. 12,p. 100 590, 2023. doi: https://doi.org/10.1016/j.clet.2022.100590. Available online.


Haryono, I. Masudin, Y. Suhandini, and D. Kannan, “Exploring scientific publications for the development of relevant and effective supplier selection methods and criteria in the food industry: A comprehensive analysis,” Cleaner Logistics and Supply Chain, vol. 12, p. 100 161, 2024. doi: https://doi.org/10.1016/j.clscn.2024.100161. Availableonline.


C.- H. Chen, “A novel multi-criteria decision-making model for building material supplier selection based on entropy-ahp weighted topsis,” Entropy, vol. 22, no. 2, 2020. doi: 10.339
0/e22020259. Available online.


Y. Wang, W. Wang, Z. Wang, M. Deveci, S. K. Roy, and S. Kadry, “Selection of sustainable food suppliers using the pythagorean fuzzy critic-marcos method,” Information Sciences, vol. 664, p. 120 326, 2024. doi: https://doi.org/10.1016/j.ins.2024.120326. Available online.


S. Nasri, B. Ehsani, S. J. Hosseininezhad, and N. Safaie, “A sustainable supplier selection method using integrated fuzzy dematel–anp–dea approach (case study: Petroleum industry),”Environment, Development and Sustainability, vol. 25, Aug. 2022. doi: 10.1007/s10668-022-02590-2.


D. Štreimikien˙e, A. Bathaei, and J. Streimikis, “Mcdm approaches for supplier selection in sustainable supply chain management,” Sustainability, vol. 16, no. 23, 2024. doi: 10.3390/su162310446. Available online.


P. Becerra and J. Diaz, “Supplier selection model considering sustainable and resilience aspects for mining industry,” Systems, vol. 13, no. 2, 2025. doi: 10.3390/systems13020081. Available online.


T. E. Saputro, G. Figueira, and B. Almada-Lobo, “Hybrid mcdm and simulation-optimization for strategic supplier selection,” Expert Systems with Applications, vol. 219, p. 119 624,2023. doi: https://doi.org/10.1016/j.eswa.2023.119624. Available online.


I. M. Hezam, P. Rani, A. R. Mishra, and A. Alshamrani, “An intuitionistic fuzzy entropy-based gained and lost dominance score decision-making method to select and assess sustainable supplier selection,” AIMS Mathematics, vol. 8, no. 5, pp. 12 009–12 039, 2023.doi: 10.3934/math.2023606. Available online.


M. Hajiaghaei-Keshteli, Z. Cenk, B. Erdebilli, Y. Ozdemir, and F. Gholian-Joiybari, “Pythagorean fuzzy topsis method for green supplier selection in the food industry,” Expert Systems with Applications, vol. 224, p. 120 036, Apr. 2023. doi: 10.1016/j.eswa.2023.120036.


K. Koc, Ö. Ekmekcioğlu, and Z. Işık, “Developing a probabilistic decision-making model for reinforced sustainable supplier selection,” English, International Journal of ProductionEconomics, vol. 259, May 2023, Publisher Copyright: © 2023 Elsevier B.V. doi: 10.10163/j.ijpe.2023.108820.

A. Çalık, “A novel pythagorean fuzzy ahp and fuzzy topsis methodology for green supplier selection in the industry 4.0 era,” Soft Computing, vol. 25, no. 3, pp. 2253–2265, 2020. doi:10.1007/s00500-020-05294-9.




DOI: https://doi.org/10.18860/cauchy.v10i2.36728

Refbacks

  • There are currently no refbacks.


Copyright (c) 2025 Putri Rosmerry Retno Sahabir, Vira Hari Krisnawati, Marsudi Marsudi

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Editorial Office
Mathematics Department,
Universitas Islam Negeri Maulana Malik Ibrahim Malang
Gajayana Street 50 Malang, East Java, Indonesia 65144
Faximile (+62) 341 558933
e-mail: cauchy@uin-malang.ac.id

Creative Commons License
CAUCHY: Jurnal Matematika Murni dan Aplikasi is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.