1
Technical Faculty in Bor, University of Belgrade, Serbia
(dstanujkic@tfbor.bg.ac.rs)
2
Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad, Belgrade
(darjan.karabasevic@mef.edu.rs)
3
Dept. Math and Sciences, University of New Mexico, Gallup, NM, USA
(fsmarandache@gmail.com)
4
Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad, Belgrade, Serbia
(gabrijela.popovic@mef.edu.rs)
Abstract :
Multiple criteria decision making is one of the many areas where neutrosophic sets have been successfully applied to solve various problems so far. Compared to a fuzzy set, and similar sets, neutrosophic sets use more membership functions which makes them suitable for using complex evaluation criteria in multiple criteria decision making. On the other hand, the application of three membership functions makes evaluation somewhat more complex compared to evaluation using fuzzy sets. The reliability of the data used to solve a problem can have an impact on the selection of the appropriate solution/alternative. Therefore, this paper discusses an approach that can be used to assess the reliability of information collected by surveying respondents. The usability of the proposed approach is demonstrated in the numerical illustration of the supplier selection.
Keywords :
neutrosophy , reliability , single-valued neutrosophic numbers , decision-making
References :
[1] Karabašević, D., Stanujkić, D., Zavadskas, E. K., Stanimirović, P., Popović, G., Predić, B., & Ulutaş, A., “A Novel Extension of the TOPSIS Method Adapted for the Use of Single-Valued Neutrosophic Sets and Hamming Distance for E-Commerce Development Strategies Selection”, Symmetry, Vol 12(8), pp. 1263, 2020.
[2] Bakir, M., Akan, Ş., Kiraci, K., Karabasevic, D., Stanujkic, D., & Popovic, G., “Multiple-Criteria Approach of the Operational Performance Evaluation in the Airline Industry: Evidence from the Emerging Markets”, Romanian Journal of Economic Forecasting, Vol 23(2), pp. 149-172, 2020.
[3] Ivanov, B., Jevtić, M., Stanujkić, D., Karabašević, D., & Smarandache, F., “Evaluation of websites of IT companies from the perspective of IT beginners”, Bizinfo, Vol 9(2), pp. 1-9, 2018.
[4] Stanujkic, D., Karabasevic, D., Zavadskas, E. K., Smarandache, F., & Brauers, W. K., “A bipolar fuzzy extension of the MULTIMOORA method”, Informatica, Vol 30(1), pp. 135-152, 2019.
[5] Stanujkic, D., Zavadskas, E. K., Liu, S., Karabasevic, D., & Popovic, G., “Improved OCRA method based on the use of interval grey numbers”, Journal of Grey System, Vol 29(4), pp. 49-60, 2017.
[6] Pamucar, D., Lukovac, V., Bozanic, D., & Komazec, N., “Multi-criteria FUCOM-MAIRCA model for the evaluation of level crossings: case study in the Republic of Serbia”, Operational Research in Engineering Sciences: Theory and Applications, Vol 1(1), pp. 108-129, 2018.
[7] Zadeh, L. A., “Fuzzy sets. Information and control”, Vol 8(3), pp. 338-353, 1965.
[8] Bellman, R. E., & Zadeh, L. A., “Decision-making in a fuzzy environment”, Management science, Vol 17(4), pp. 141–164, 1970.
[9] Stanujkic, D., Zavadskas, E. K., Karabasevic, D., Urosevic, S., & Maksimovic, M., “ An approach for evaluating website quality in hotel industry based on triangular intuitionistic fuzzy numbers”, Informatica, Vol 28(4), pp. 725-748, 2017.
[10] Stanujkić, D., Smarandache, F., Zavadskas, E. K., & Karabašević, D., “Multiple Criteria Evaluation Model Based on the Single Valued Neutrosophic Set”, Neutrosophic Sets and Systems, Vol 14, pp. 3-6, 2016.
[11] Turksen, I. B., “Interval valued fuzzy sets based on normal forms”, Fuzzy sets and systems, Vol 20(2), pp. 191-210, 1986.
[12] Atanassov, K., “Intuitionistic fuzzy sets”, Fuzzy Sets and Systems, Vol 20, pp. 87-96, 1986.
[13] Lee, K.M., “Bipolar-valued fuzzy sets and their operations”, Proceedings of International conference on intelligent technologies – InTech'2000, December 12-14, 2000, Bangkok, Thailand, 307-312, 2000.
[14] Smarandache, F., “A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic”, American Research Press: Rehoboth, DE, USA. pp. 141, 1999.
[15] Bolturk, E., & Kahraman, C., “A novel interval-valued neutrosophic AHP with cosine similarity measure” Soft Computing, Vol 22(15), pp. 4941-4958, 2018.
[16] Stanujkic, D., Zavadskas, E. K., Smarandache, F., Brauers, W. K., & Karabasevic, D., “A neutrosophic extension of the MULTIMOORA method”, Informatica, Vol 28(1), pp. 181-192, 2017.
[17] Bausys, R., Kazakeviciute-Januskeviciene, G., Cavallaro, F., & Usovaite, A., “Algorithm selection for edge detection in satellite images by neutrosophic WASPAS method”, Sustainability, Vol 12(2), pp. 548, 2020.
[18] Zavadskas, E. K., Bausys, R., Kaklauskas, A., & Raslanas, S., “Hedonic shopping rent valuation by one-to-one neuromarketing and neutrosophic PROMETHEE method”, Applied Soft Computing, Vol 85, pp. 105832, 2019.
[19] Abdel-Basset, M., Zhou, Y., Mohamed, M., & Chang, V., “A group decision making framework based on neutrosophic VIKOR approach for e-government website evaluation”, Journal of Intelligent & Fuzzy Systems, Vol 34(6), pp. 4213-4224, 2018.
[20] Liu, P., & Cheng, S., “ An Extension of ARAS Methodology for Multi-criteria Group Decision-Making Problems within Probability Multi-valued Neutrosophic Sets”, International Journal of Fuzzy Systems, Vol 21(8), pp. 2472-2489, 2019.
[21] Biswas, P., Pramanik, S., & Giri, B. C., “GRA method of multiple attribute decision making with single valued neutrosophic hesitant fuzzy set information”, New trends in neutrosophic theory and applications, pp. 55-63, 2016.
[22] Karaşan, A., & Kahraman, C., “A novel interval-valued neutrosophic EDAS method: prioritization of the United Nations national sustainable development goals”, Soft Computing, Vol 22(15), pp. 4891-4906, 2018.
[23] Deli, I., & Broumi, S., “Neutrosophic soft matrices and NSM-decision making”, Journal of Intelligent & Fuzzy Systems, Vol 28(5), pp. 2233-2241, 2015.
[24] Deli, I., “Interval-valued neutrosophic soft sets and its decision making”, International Journal of Machine Learning and Cybernetics, Vol 8(2), pp. 665-676, 2017.
[25] Deli, I., Eraslan, S., & Çağman, N., “ivnpiv-Neutrosophic soft sets and their decision making based on similarity measure”, Neural Computing and applications, Vol 29(1), pp. 187-203, 2018.
[26] Ashraf, S., & Abdullah, S., “Decision Support Modeling For Agriculture Land Selection Based On Sine Trigonometric Single Valued Neutrosophic Information”, International Journal of Neutrosophic Science (IJNS), Vol 9(2), pp. 60-73, 2020.
[27] Martin, N., & Smarandache, F., “Plithogenic Cognitive Maps in Decision Making”, International Journal of Neutrosophic Science (IJNS), Vol 9(1), pp. 9-21, 2020.
[28] Edalatpanah, S. A., “A direct model for triangular neutrosophic linear programming”, International journal of neutrosophic science (IJNS), Vol 1(1), pp. 19-28, 2020.
[29] Gayathri, N., Helen, M., & Mounika, P., “Utilization of Jaccard Index Measures on Multiple Attribute Group Decision Making under Neutrosophic Environment”, International Journal of Neutrosophic Science (IJNS), Vol 3(2), pp. 67-77, 2020.
[30] Stanujkić, D., Smarandache, F., Zavadskas, E. K., & Karabašević, D., “An Approach to Measuring the Website Quality Based on Neutrosophic Sets”, New Trends in Neutrosophic Theory and Applications, Vol II, pp. 40-50, 2017.
[31] Urošević, S., Stanujkić, D., Karabašević, D., & Brzaković, P., “Using single valued neutrosophic set to select tourism development strategies in eastern Serbia”, Economics of Agriculture, Vol 65(2), pp. 555-568, 2018.
[32] Ivanov, B., Jevtić, M., Stanujkić, D., & Karabašević, D., “Evaluation of websites of IT companies from the perspective of it beginners”, Bizinfo, Vol 9(2), pp. 1-9, 2018.
[33] Smarandache, F., Stanujkic, D. & Karabasevic, D., “An approach for assessing the reliability of data contained in a single valued neutrosophic number”, Proceedings of 4th International scientific conference Innovation as an initiator of the development – MEFkon 2018, 6th December, 2018, Belgrade, Serbia, pp. 80-86, 2018.
[34] Wang, H., Smarandache, F., Zhang, Y. Q. & Sunderraman, R., “Single valued neutrosophic sets”, Multispace and Multistructure, Vol 4, pp. 410-413, 2010.
[35] Şahin, R., “Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment”, arXiv preprint arXiv:1412.5202, 2014.
| Style | # |
|---|---|
| MLA | Dragisa Stanujkic , Darjan Karabasevic , Florentin Smarandache, Gabrijela Popovic. "A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making." International Journal of Neutrosophic Science, Vol. 11, No. 1, 2020 ,PP. 22-29 (Doi : https://doi.org/10.54216/IJNS.0110102) |
| APA | Dragisa Stanujkic , Darjan Karabasevic , Florentin Smarandache, Gabrijela Popovic. (2020). A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making. Journal of International Journal of Neutrosophic Science, 11 ( 1 ), 22-29 (Doi : https://doi.org/10.54216/IJNS.0110102) |
| Chicago | Dragisa Stanujkic , Darjan Karabasevic , Florentin Smarandache, Gabrijela Popovic. "A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making." Journal of International Journal of Neutrosophic Science, 11 no. 1 (2020): 22-29 (Doi : https://doi.org/10.54216/IJNS.0110102) |
| Harvard | Dragisa Stanujkic , Darjan Karabasevic , Florentin Smarandache, Gabrijela Popovic. (2020). A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making. Journal of International Journal of Neutrosophic Science, 11 ( 1 ), 22-29 (Doi : https://doi.org/10.54216/IJNS.0110102) |
| Vancouver | Dragisa Stanujkic , Darjan Karabasevic , Florentin Smarandache, Gabrijela Popovic. A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making. Journal of International Journal of Neutrosophic Science, (2020); 11 ( 1 ): 22-29 (Doi : https://doi.org/10.54216/IJNS.0110102) |
| IEEE | Dragisa Stanujkic, Darjan Karabasevic, Florentin Smarandache, Gabrijela Popovic, A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making, Journal of International Journal of Neutrosophic Science, Vol. 11 , No. 1 , (2020) : 22-29 (Doi : https://doi.org/10.54216/IJNS.0110102) |