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VIKOR Method in Uncertainty Environment

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Fuzzy Decision Analysis: Multi Attribute Decision Making Approach

Abstract

This chapter explores the application of the VIKOR method in deterministic and fuzzy modes, showcasing examples and discussing preference voting and data envelopment analysis. The integration of preference voting enhances decision-making by incorporating subjective judgments, while data envelopment analysis ensures the reliability and completeness of information. The chapter highlights the practicality and versatility of Fuzzy VIKOR and provides insights for future research in this field.

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References

  1. Adabi, G., Hajiha, A., & Hosseinzadeh Lotfi, F. (2022). Designing a tourism industry model in Iran with the approach of the spatial correlation structure. Journal of Industrial Engineering and Management Studies, 8(2), 261-276

    Google Scholar 

  2. Banaeian, N., Mobli, H., Fahimnia, B., Nielsen, I. E., & Omid, M. (2018). Green supplier selection using fuzzy group decision making methods: A case study from the agri-food industry. Computers & Operations Research, 89, 337–347.

    Article  MathSciNet  MATH  Google Scholar 

  3. Bazzazi, A. A., Osanloo, M., & Karimi, B. (2011). Deriving preference order of open pit mines equipment through MADM methods: Application of modified VIKOR method. Expert Systems with Applications, 38(3), 2550–2556.

    Article  Google Scholar 

  4. Chen, L. Y., & Wang, T. C. (2009). Optimizing partners’ choice in IS/IT outsourcing projects: The strategic decision of fuzzy VIKOR. International Journal of Production Economics, 120(1), 233–242.

    Article  Google Scholar 

  5. Chu, M. T., Shyu, J., Tzeng, G. H., & Khosla, R. (2007). Comparison among three analytical methods for knowledge communities group-decision analysis. Expert systems with applications, 33(4), 1011–1024.

    Article  Google Scholar 

  6. Cook, W. D., & Kress, M. (1990). A data envelopment model for aggregating preference rankings. Management Science, 36(11), 1302–1310.

    Article  MATH  Google Scholar 

  7. Deveci, M., Gokasar, I., Pamucar, D., Zaidan, A. A., Wen, X., & Gupta, B. B. (2023). Evaluation of cooperative intelligent transportation system scenarios for resilience in transportation using type-2 neutrosophic fuzzy VIKOR. Transportation Research Part A: Policy and Practice, 172, 103666.

    Google Scholar 

  8. Farhad, Hosseinzadeh Lotfi Ali, Ebrahimnejad Mohsen, Vaez-Ghasemi Zohreh, Moghaddas Farhad, Hosseinzadeh Lotfi Ali, Ebrahimnejad Mohsen, Vaez-Ghasemi Zohreh, Moghaddas (2020) Data Envelopment Analysis with R Fuzzy Data Envelopment Analysis Models with R Codes Springer International Publishing Cham 163-236

    Google Scholar 

  9. Hosseinzadeh Lotfi, F., Jahanshahloo, G. R., Khodabakhshi, M., Rostamy-Malkhlifeh, M., Moghaddas, Z., & Vaez-Ghasemi, M.(2013). A review of ranking models in data envelopment analysis. Journal of Applied Mathematics, 20131–20 https://doi.org/10.1155/2013/492421

    Article  MathSciNet  Google Scholar 

  10. Hosseinzadeh Lotfi, Farhad, Masoud Sanei, Ali Asghar Hosseinzadeh, Sadegh Niroomand, Ali Mahmoodirad, Chapter Two - Introduction to data envelopment analysis,Uncertainty in Data Envelopment Analysis, Academic Press, 2023, Pages 39–83,ISBN 9780323994446.

    Google Scholar 

  11. Jahanshahloo, G. R., Hosseinzadeh Lotfi, F., Alimardani Jondabeh, M., Banihashemi, S., & Lakzaie, L. (2008). Cost efficiency measurement with certain price on fuzzy data and application in insurance organization. Applied Mathematical Sciences, 2(1), 1-18

    Google Scholar 

  12. Kaya, T., & Kahraman, C. (2010). Multicriteria renewable energy planning using an integrated fuzzy VIKOR & AHP methodology: The case of Istanbul. Energy, 35(6), 2517–2527.

    Article  Google Scholar 

  13. Liu, G., & Wang, X. (2023). A trapezoidal fuzzy Number-Based VIKOR method with completely unknown weight information. Symmetry, 15(2), 559.

    Article  Google Scholar 

  14. Mehdi, Soltanifar Hamid, Sharafi (2022) A modified DEA cross efficiency method with negative data and its application in supplier selection. Journal of Combinatorial Optimization, 43(1), 265–296. https://doi.org/10.1007/s10878-021-00765-7

  15. Mehdi, Soltanifar Hamid, Sharafi Farhad, Hosseinzadeh Lotfi Witold, Pedrycz Tofigh, Allahviranloo (2023) Preferential Voting and Applications: Approaches Based on Data Envelopment Analysis Springer International Publishing Cham

    Google Scholar 

  16. Opricovic, S. (1998). Multicriteria optimization of civil engineering systems. Faculty of Civil Engineering, Belgrade, 2(1), 5–21.

    MathSciNet  Google Scholar 

  17. Opricovic, S., & Tzeng, G. H. (2007). Extended VIKOR method in comparison with outranking methods. European Journal of Operational Research, 178(2), 514–529.

    Article  MATH  Google Scholar 

  18. Pejman, Peykani Farhad, Hosseinzadeh Lotfi Seyed Jafar, Sadjadi Ali, Ebrahimnejad Emran, Mohammadi (2022) Fuzzy chance-constrained data envelopment analysis: a structured literature review current trends and future directions. Fuzzy Optimization and Decision Making, 21(2), 197–261. https://doi.org/10.1007/s10700-021-09364-x

  19. Qin, J., Liu, X., & Pedrycz, W. (2015). An extended VIKOR method based on prospect theory for multiple attribute decision making under interval type-2 fuzzy environment. Knowledge-Based Systems, 86, 116–130.

    Article  Google Scholar 

  20. Roostaee, R., Izadikhah, M., Lotfi, F. H., & Rostamy-Malkhalifeh, M. (2012). A multi-criteria intuitionistic fuzzy group decision making method for supplier selection with VIKOR method. International Journal of Fuzzy System Applications (IJFSA), 2(1), 1–17.

    Article  Google Scholar 

  21. Shariari, M., & Pilevari, N. (2016). Agile supplier selection in sanitation supply chain using fuzzy VIKOR method. Journal of Optimization in Industrial Engineering, 10(21), 19–28.

    Google Scholar 

  22. Soltanifar, M., & Sharafi, H. (2022). Preferential voting in the presence of undesirable voters. International Journal of Applied Decision Sciences, 15(6), 753–766.

    Article  Google Scholar 

  23. Soltanifar, M., & Sharafi, H. (2022). A modified DEA cross efficiency method with negative data and its application in supplier selection. Journal of Combinatorial Optimization, 43(1), 265–296. https://doi.org/10.1007/s10878-021-00765-7

    Article  MathSciNet  MATH  Google Scholar 

  24. Somayeh, Razipour-GhalehJough Farhad, Hosseinzadeh Lotfi Gholamreza, Jahanshahloo Mohsen, Rostamy-malkhalifeh Hamid, Sharafi (2020) Finding closest target for bank branches in the presence of weight restrictions using data envelopment analysis. Annals of Operations Research, 288(2), 755–787. https://doi.org/10.1007/s10479-019-03166-6

  25. Wan, S. P., Wang, Q. Y., & Dong, J. Y. (2013). The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers. Knowledge-Based Systems, 52, 65–77.

    Article  Google Scholar 

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Acknowledgement

A special thanks to the Iranian DEA society for their unwavering spiritual support and consensus in the writing of this book. Your invaluable support has been truly remarkable, and we are deeply grateful for the opportunity to collaborate with such esteemed professionals.

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Correspondence to Farhad Hosseinzadeh Lotfi .

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© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Hosseinzadeh Lotfi, F., Allahviranloo, T., Pedrycz, W., Shahriari, M., Sharafi, H., Razipour GhalehJough, S. (2023). VIKOR Method in Uncertainty Environment. In: Fuzzy Decision Analysis: Multi Attribute Decision Making Approach. Studies in Computational Intelligence, vol 1121. Springer, Cham. https://doi.org/10.1007/978-3-031-44742-6_9

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