• Abstract

    TOPSIS, known as the “Technique for Order of Preference by Similarity to Ideal Solution” (TOPSIS), is one of the well-known methods for solving “multi-criteria decision-making” (MCDM) problems. Many TOPSIS methods have been developed to solve real-life problems using neutrosophic sets. However, no study has developed the TOPSIS method under interval bipolar linguistic neutrosophic environments. Therefore, this study aims to present a new concept of “interval bipolar linguistic neutrosophic set” (IBL_NS). IBL_NS is more flexible and adaptable to real-world applications than other sets. Some set-theoretic operations, such as “union”, “intersection”, and “complement”, and the “operational rules” of IBL_NS are defined. Then, a new TOPSIS procedure in IBL_NS is developed. In the proposed IBL_NS-TOPSIS method, ratings of alternatives and importance weights of criteria are expressed in IBL_NS. An application is presented demonstrating the advantages of the proposed IBL_NS-TOPSIS approach.

  • References

    1. Abdel-Basset M, Ali M, Atef A (2020). Uncertainty assessments of linear time-cost tradeoffs using neutrosophic set. Comput Ind Eng 141:106286.
    2. Abdel-Basseta M, Mohamed M, Elhoseny M, Son LH, Chiclanad F, Zaied AENH (2019). Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases. Artif Intell Med 101:101735.
    3. Abdel-Basset M, Gamal A, Son LH, Smarandache F (2020). A Bipolar Neutrosophic Multi Criteria Decision Making Framework for Professional Selection. Appl Sci 10:1202.
    4. Alpaslan N (2022). Neutrosophic set based local binary pattern for texture classification. Expert Syst Appl 209:118350.
    5. Dhar S, Kundu MK (2021). Accurate multi-class image segmentation using weak continuity constraints and neutrosophic set. Appl Soft Comput 112:107759.
    6. Deli I, Ali M, Smarandache F (2015). Bipolar neutrosophic sets and their application based on multi-criteria decision-making problems. Proceedings of the 2015 International Conference on Advanced Mechatronic Systems, 22-24 August, Beijing, China.
    7. Garai T, Garg H (2022). Multi-criteria decision making of COVID-19 vaccines (in India) based on ranking interpreter technique under single valued bipolar neutrosophic environment. Expert Syst App 208:118160.
    8. Garg H, Nancy (2019). Algorithms for possibility linguistic single-valued neutrosophic decision-making based on COPRAS and aggregation operators with new information measures. Meas 138:278-290.
    9. Jamil M, Afzal F, Akgül A, Abdullah S, Maqbool A, Razzaque A, Riaz MB, Awrejcewicz J (2022). Einstein Aggregation Operators under Bipolar Neutrosophic Environment with Applications in Multi-Criteria Decision-Making. Appl Sci 12:10045.
    10. Jia Q, Hu J, Zhang W (2021). A fault detection method for FADS system based on interval-valued neutrosophic sets, belief rule base, and D-S evidence reasoning. Aerosp Sci Technol 114:106758.
    11. Ji P, Zhang HY, Wang JQ (2018). Selecting an outsourcing provider based on the combined MABAC–ELECTRE method using single-valued neutrosophic linguistic sets. Comput Ind Eng 120:429-441.
    12. Li G, Zhong Y, Chen C, Jin TT, Liu Y (2022). Reliability allocation method based on linguistic neutrosophic numbers weight Muirhead mean operator. Expert Syst Appl 193: 116504.
    13. Liu P, You X (2019). Bidirectional projection measure of linguistic neutrosophic numbers and their application to multi-criteria group decision making. Comput. Ind. Eng, 128, 447-457.
    14. Mishra AR, Rani P, Prajapati RS (2021). Multi-criteria weighted aggregated sum product assessment method for sustainable biomass crop selection problem using single-valued neutrosophic sets. Appl Soft Comput 113:108038.
    15. Nasef MM, Eid FT, Sauber AM (2020). Skeletal scintigraphy image enhancement based neutrosophic sets and salp swarm algorithm. Artif Intell Med 109:101953.
    16. Karadayi-Usta S (2022). A novel neutrosophic set based hierarchical challenge analysis approach for servicizing business models: A case study of car share service network. Comput Ind Eng 163:107795.
    17. Karamustafa M, Cebi S (2021). Extension of safety and critical effect analysis to neutrosophic sets for the evaluation of occupational risks. Appl Soft Comput 110:107719.
    18. Pourmohseni S, Ashtiani M, Azirani AA (2022). A computational trust model for social IoT based on interval neutrosophic numbers. Inf Sci 607:758-782.
    19. Sahin R, Yiğider M (2014). A Multi-criteria neutrosophic group decision-making method based TOPSIS for supplier selection. ar Xiv preprint arXiv:1412.5077.
    20. Smarandache F (1999). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press: Rehoboth, DE, USA.
    21. Smarandache F (2015). Symbolic Neutrosophic Theory. Europa Nova, Bruxelles. https://arxiv.org/ftp/arxiv/papers/1512/1512.00047.pdf
    22. Smarandache F (1998). Neutrosophy: Neutrosophic Probability, Set, and Logic. Analytic Synthesis Synthetic Analysis.
    23. Singh P, Huang YP (2019). A new hybrid time series forecasting model based on the neutrosophic set and quantum optimization algorithm. Comput Ind 111:121-139.
    24. Sodenkamp MA, Tavana M, Caprio DD (2018). An aggregation method for solving group multi-criteria decision-making problems with single-valued neutrosophic sets. Appl Soft Comput 71:715-727.
    25. Sert E (2018). A new modified neutrosophic set segmentation approach. Comput Electr Eng 65:576-592.
    26. Stanujkić D, Karabašević D, Popović G, Pamučar D, Stević Ž, Zavadskas EK, Smarandache F (2021). A Single-Valued Neutrosophic Extension of the EDAS Method. Axioms 10:245.
    27. Thong NT, Dat LQ, Son LH, Hoa ND, Ali M, Smarandache F (2019). Dynamic interval valued neutrosophic set: Modeling decision making in dynamic environments. Comput Ind 108:45-52.
    28. Thong NT, Smarandache F, Hoa ND, Son LH, Lan LTH, Giap CN, Son DT, Long HV (2020). A novel dynamic multi-criteria decision-making method based on generalized dynamic interval-valued neutrosophic set. Symmetry 12:618.
    29. Tapia JFD, Ortenero JR, Tan RR (2022). Selection of energy storage technologies under neutrosophic decision environment. Cleaner Eng Technol 11:100576.
    30. Torkayesh AE, Tavana M, Santos-Arteaga FJ (2022). A multi-distance interval-valued neutrosophic approach for social failure detection in sustainable municipal waste management. J Cleaner Prod 336:130409.
    31. Wang H, Smarandache F, Zhang Y, Sunderraman R (2005). Single valued neutrosophic sets. In Proceedings of the 10th International Conference on Fuzzy Theory and Technology, Salt Lake City, UT, USA, 21-26 July.
    32. Wang H, Smarandache F, Zhang YQ, Sunderraman R (2005). Interval neutrosophic sets and logic: theory and applications in computing: Theory and applications in computing. Neutrosophic Book Series, Hexis, University of New Mexico UNM Digital Repository 5.
    33. Yazdani M, Torkayesh AE, Hernandez VD (2021). An interval valued neutrosophic decision-making structure for sustainable supplier selection. Expert Syst Appl 183: 115354.
    34. Zhang HY, Wang JQ, Chen XH (2014). Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems. Sci World J Article ID 645953:15p.
    35. Zhu J, Shuai B, Guofang Li G, Chin KS, Wang R (2020). Failure mode and effect analysis using regret theory and PROMETHEE under linguistic neutrosophic context. J Loss Prev Process Ind 64:104048.

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How to cite

Quynh, V. T. N. (2023). An extension of TOPSIS method using interval bipolar linguistic neutrosophic set and its application. Multidisciplinary Science Journal, 5(4), 2023045. https://doi.org/10.31893/multiscience.2023045
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