An extension of TOPSIS method using interval bipolar linguistic neutrosophic set and its application

Vu Thi Nhu Quynh

doi:10.31893/multiscience.2023045

Keywords:

TOPSIS

linguistic neutrosophic set

bipolar neutrosophic set

interval bipolar linguistic neutrosophic set

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
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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.
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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.

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

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

[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.

Abstract

References

How to cite