The best way to achieve sustainable construction is to choose materials with a smaller environmental impact. In this regard, specialists and architects are advised to take these factors into account from the very beginning of the design process. This study offers a framework for selecting the optimal sustainable building material. The core goal of this article is to depict a novel structure of a neutrosophic soft expert set hybrid called an interval-valued neutrosophic soft expert set for utilization in construction supply chain management to select a suitable supplier for a construction project. This study applies two different techniques. One is an algorithmic technique, and the other is set-theoretic. The first one is applied for the structural characterization of an interval-valued neutrosophic expert set with its necessary operators like union and OR operations. The second one is applied for the construction of a decision-making system with the help of pre-described operators. The main purpose of the algorithm is to be used in supply chain management to select a suitable supplier for construction. This paper proposes a new model based on interval-valued, soft expert and neutrosophic settings. In addition to considering these settings jointly, this model is more flexible and reliable than existing ones because it overcomes the obstacles of existing studies on neutrosophic soft set-like models by considering interval-valued conditions, soft expert settings and neutrosophic settings. In addition, an example is presented to demonstrate how the decision support system would be implemented in practice. In the end, analysis, along with benefits, comparisons among existing studies and flexibility, show the efficacy of the proposed structure.
Citation: Muhammad Ihsan, Muhammad Saeed, Atiqe Ur Rahman, Mazin Abed Mohammed, Karrar Hameed Abdulkaree, Abed Saif Alghawli, Mohammed AA Al-qaness. An innovative decision-making framework for supplier selection based on a hybrid interval-valued neutrosophic soft expert set[J]. AIMS Mathematics, 2023, 8(9): 22127-22161. doi: 10.3934/math.20231128
The best way to achieve sustainable construction is to choose materials with a smaller environmental impact. In this regard, specialists and architects are advised to take these factors into account from the very beginning of the design process. This study offers a framework for selecting the optimal sustainable building material. The core goal of this article is to depict a novel structure of a neutrosophic soft expert set hybrid called an interval-valued neutrosophic soft expert set for utilization in construction supply chain management to select a suitable supplier for a construction project. This study applies two different techniques. One is an algorithmic technique, and the other is set-theoretic. The first one is applied for the structural characterization of an interval-valued neutrosophic expert set with its necessary operators like union and OR operations. The second one is applied for the construction of a decision-making system with the help of pre-described operators. The main purpose of the algorithm is to be used in supply chain management to select a suitable supplier for construction. This paper proposes a new model based on interval-valued, soft expert and neutrosophic settings. In addition to considering these settings jointly, this model is more flexible and reliable than existing ones because it overcomes the obstacles of existing studies on neutrosophic soft set-like models by considering interval-valued conditions, soft expert settings and neutrosophic settings. In addition, an example is presented to demonstrate how the decision support system would be implemented in practice. In the end, analysis, along with benefits, comparisons among existing studies and flexibility, show the efficacy of the proposed structure.
[1] | F. Smarandache, A unifying field in logics, Neutrosophy: Neutrosophic Probability, Set and Logic. Rehoboth: American Research Press, (2005). http://dx.doi.org/10.5281/zenodo.5486295 |
[2] | F. Smarandache, Neutrosophic set, a generialization of the intuituionistics fuzzy sets, Inter. J. Pure Appl. Math., 24 (2005), 287–297. https://doi.org/10.1155/2021/5583218 doi: 10.1155/2021/5583218 |
[3] | F. Smarandache, Introduction to neutrosophic measure, neutrosophic measure neutrosophic integral, and neutrosophic propability, (2013). |
[4] | L. A. Zadeh, Fuzzy sets, Inf. Control, 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X doi: 10.1016/S0019-9958(65)90241-X |
[5] | K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Set. Syst., 20 (1986), 87–96. https://doi.org/10.1111/exsy.12783 doi: 10.1111/exsy.12783 |
[6] | H. Wang, F. Smarandache, Y. Zhang, R. Sunderraman, Single valued Neutrosophic Sets, Multisspace Multistructure, 4 (2010), 410–413. https://doi.org/10.4236/am.2014.59127 doi: 10.4236/am.2014.59127 |
[7] | A. A. Kharal, Neutrosophic multicriteria decision making method, New Mathematics and Natural Computation, Creighton University, 2013, USA. https://doi.org/10.1155/2011/757868 |
[8] | H. Wang, F. Smarandache, Y. Q. Zhang, R. Sunderraman, Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, In: Neutrosophic book series, vol 5. Hexis, Arizona, 2005. |
[9] | D. Molodtsov, Soft set theory—first results, Comput. Math. Appl., 37 (1999), 19–31. https://doi.org/10.1155/2012/258361 doi: 10.1155/2012/258361 |
[10] | P. K. Maji, R. Biswas, A. R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9 (2001), 589–602. |
[11] | N. Çaǧman, S. Enginoglu, F. Citak, Fuzzy soft set theory and its applications, Iran. J. Fuzzy syst., 8 (2011), 137–147. |
[12] | Y. Çelik, S. Yamak, Fuzzy soft set theory applied to medical diagnosis using fuzzy arithmetic operations, J. Inequal. Appl., 2013 (2013), 1–9. https://doi.org/10.1186/1029-242X-2013-82 doi: 10.1186/1029-242X-2013-82 |
[13] | Y. B. Jun, K. J. Lee, C. H. Park, Fuzzy soft set theory applied to BCK/BCI-algebras, Comput. Math. Appl., 59 (2010), 3180–3192. https://doi.org/10.1016/j.camwa.2010.03.004 doi: 10.1016/j.camwa.2010.03.004 |
[14] | N. Çaǧman, S. Karataş, Intuitionistic fuzzy soft set theory and its decision making, J. Intell. Fuzzy Syst., 24 (2013), 829–836. https://doi.org/10.3233/IFS-2012-0601 doi: 10.3233/IFS-2012-0601 |
[15] | A. Khalid, M. Abbas, Distance measures and operations in intuitionistic and interval-valued intuitionistic fuzzy soft set theory, Int. J. Fuzzy Syst., 17 (2015), 490–497. https://doi.org/10.1007/s40815-015-0048-x doi: 10.1007/s40815-015-0048-x |
[16] | P. K. Maji, Neutrosophic soft set, Annals Fuzzy Math. Inf., 5 (2013), 157–168. |
[17] | I. Deli, S. Broumi, Neutrosophic soft relations and some properties, Annals Fuzzy Math. Inf., 9 (2015), 169–182. |
[18] | M. B. Gorzalczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Set. Syst., 21 (1987), 1–17. https://doi.org/10.1016/0165-0114(87)90148-5 doi: 10.1016/0165-0114(87)90148-5 |
[19] | K. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Set. Syst., 31 (1989), 343–349. https://doi.org/10.1016/0165-0114(89)90205-4 doi: 10.1016/0165-0114(89)90205-4 |
[20] | H. Wang, F. Smarandache, Y. Q. Zhang, R. Sunderraman, Interval neutrosophic sets and logic: Theory and applications in computing, Hexis, Arizona, 2005. |
[21] | X. Yang, T. Y. Lin, J. Yang, Y. Li, D. Yu, Combination of interval-valued fuzzy set and soft set, Comput. Math. Appl., 58 (2009), 521–527. https://doi.org/10.1016/j.camwa.2009.04.019 doi: 10.1016/j.camwa.2009.04.019 |
[22] | Y. Jiang, Y. Tang, Q. Chen, H. Liu, J. Tang, Interval-valued intuitionistic fuzzy soft sets and their properties, Comput. Math. Appl., 60 (2010), 906–918. https://doi.org/10.1016/j.camwa.2010.05.036 doi: 10.1016/j.camwa.2010.05.036 |
[23] | I. Deli, Interval-valued neutrosophic soft sets and its decision making, Int. J. Mach. Learn. Cyb., 8 (2017), 665–676. https://doi.org/10.1007/s13042-015-0461-3 doi: 10.1007/s13042-015-0461-3 |
[24] | S. Alkhazaleh, A. R. Salleh, Soft expert sets, Adv. Decision Sci., 2011 (2011), 757868. https://doi.org/10.1155/2011/757868 doi: 10.1155/2011/757868 |
[25] | M. Ihsan, M. Saeed, A. U. Rahman, A rudimentary approach to develop context for convexity cum concavity on soft expert set with some generalized results, Punjab Univ. J. Math., 53 (2021), 621–629. https://doi.org/10.52280/pujm.2021.530902 doi: 10.52280/pujm.2021.530902 |
[26] | M. Ihsan, A. U. Rahman, M. Saeed, H. A. E. W. Khalifa, Convexity-cum-concavity on fuzzy soft expert set with certain properties, Int. J. Fuzzy Log. Inte., 21 (2021), 233–242. https://doi.org/10.5391/IJFIS.2021.21.3.233 doi: 10.5391/IJFIS.2021.21.3.233 |
[27] | S. Alkhazaleh, A. R. Salleh, Fuzzy soft expert set and its application, Appl. Math., 5 (2014), 1349–1368. https://doi.org/10.4236/am.2014.59127 doi: 10.4236/am.2014.59127 |
[28] | S. Broumi, F. Smarandache, Intuitionistic fuzzy soft expert sets and its application in decision making, J. New Theory, 1 (2015), 89–105. |
[29] | M. Şahin, S. Alkhazaleh, V. Ulucay, Neutrosophic soft expert sets, Appl. Math., 6 (2015), 116–127. https://doi.org/10.4236/am.2015.61012 doi: 10.4236/am.2015.61012 |
[30] | S. A. Hoseini, A. Fallahpour, K. Y. Wong, A. Mahdiyar, M. Saberi, S. Durdyev, Sustainable supplier selection in construction industry through hybrid fuzzy-based approaches, Sustainability, 13 (2021), 1413. https://doi.org/10.3390/su13031413 doi: 10.3390/su13031413 |
[31] | K. C. Lam, R. Tao, M. C. K. Lam, A material supplier selection model for property developers using Fuzzy Principal Component Analysis, Automat. Constr., 19 (2010), 608–618. https://doi.org/10.1016/j.autcon.2010.02.007 doi: 10.1016/j.autcon.2010.02.007 |
[32] | C. H. Chen, A new multi-criteria assessment model combining GRA techniques with intuitionistic fuzzy entropy-based TOPSIS method for sustainable building materials supplier selection, Sustainability, 11 (2019), 22–65. https://doi.org/10.3390/su11082265 doi: 10.3390/su11082265 |
[33] | R. Rajesh, V. Ravi, Supplier selection in resilient supply chains: A grey relational analysis approach, J. Clean. Prod., 86 (2015), 343–359. https://doi.org/10.1016/j.jclepro.2014.08.054 doi: 10.1016/j.jclepro.2014.08.054 |
[34] | M. Yazdani, Z. Wen, H. Liao, A. Banaitis, Z. Turskis, A grey combined compromise solution (CoCoSo-G) method for supplier selection in construction management, J. Civil Eng. Manag., 25 (2019), 858–874. https://doi.org/10.3846/jcem.2019.11309 doi: 10.3846/jcem.2019.11309 |
[35] | D. Kannan, R. Khodaverdi, L. Olfat, A. Jafarian, A. Diabat, Integrated fuzzy multi criteria decision making method and multi-objective programming approach for supplier selection and order allocation in a green supply chain, J. Clean. Prod., 47 (2013), 355–367. |
[36] | G. N. Aretoulis, G. P. Kalfakakou, F. Z. Striagka, Construction material supplier selection under multiple criteria, Oper. Res., 10 (2010), 209–230. https://doi.org/10.15839/eacs.10.2.201008.209 doi: 10.15839/eacs.10.2.201008.209 |
[37] | M. Safa, A. Shahi, C. T. Haas, K. W. Hipel, Supplier selection process in an integrated construction materials management model, Autom. Constr., 48 (2014), 64–73. https://doi.org/10.1016/j.jeconbus.2014.01.003 doi: 10.1016/j.jeconbus.2014.01.003 |
[38] | S. Yin, B. Li, H. Dong, H. Xing, A new dynamic multicriteria decision-making approach for green supplier selection in construction projects under time sequence, Math. Probl. Eng., 2017 (2017). https://doi.org/10.1155/2017/7954784 doi: 10.1155/2017/7954784 |
[39] | Z. Xiao, W. Chen, L. Li, An integrated FCM and fuzzy soft set for supplier selection problem based on risk evaluation, Appl. Math. Model., 36 (2012), 1444–1454. https://doi.org/10.1016/j.apm.2011.09.038 doi: 10.1016/j.apm.2011.09.038 |
[40] | A. Chatterjee, S. Mukherjee, S. Kar, A rough approximation of fuzzy soft set-based decision-making approach in supplier selection problem, Fuzzy Inf. Eng., 10 (2018), 178–195. https://doi.org/10.1080/16168658.2018.1517973 doi: 10.1080/16168658.2018.1517973 |
[41] | J. Zhao, X. Y. You, H. C. Liu, S. M. Wu, An extended VIKOR method using intuitionistic fuzzy sets and combination weights for supplier selection, Symmetry, 9 (2017), 169. https://doi.org/10.3390/sym9090169 doi: 10.3390/sym9090169 |
[42] | B. D. Rouyendegh, A. Yildizbasi, P. Üstünyer, Intuitionistic fuzzy TOPSIS method for green supplier selection problem, Soft Comput., 24 (2020), 2215–2228. https://doi.org/10.1007/s00500-019-04054-8 doi: 10.1007/s00500-019-04054-8 |
[43] | G. Zhang, H. Wei, C. Gao, Y. Wei, EDAS method for multiple criteria group decision making with picture fuzzy information and its application to green suppliers selections, Technol. Econ. Dev. Eco., 25 (2019), 1123–1138. https://doi.org/10.3846/tede.2019.10714 doi: 10.3846/tede.2019.10714 |
[44] | G. Petrović, J. Mihajlović, Ž. Ćojbašić, M. Madić, D. Marinković, Comparison of three fuzzy MCDM methods for solving the supplier selection problem, Facta Univ-Ser. Mech., 17 (2019), 455–469. https://doi.org/10.22190/FUME190420039P doi: 10.22190/FUME190420039P |
[45] | R. Kumari, A. R. Mishra, Multi-criteria COPRAS method based on parametric measures for intuitionistic fuzzy sets: Application of green supplier selection, IJST-T Electr. Eng., 44 (2020), 1645–1662. https://doi.org/10.1007/s40998-020-00312-w doi: 10.1007/s40998-020-00312-w |
[46] | Z. Chen, A. W. Hammad, S. T. Waller, A. N. Haddad, Modelling supplier selection and material purchasing for the construction supply chain in a fuzzy scenario-based environment, Automat. Constr., 150 (2023), 104847. https://doi.org/10.1016/j.autcon.2023.104847 doi: 10.1016/j.autcon.2023.104847 |
[47] | S. Y. Chou, Y. H. Chang, A decision support system for supplier selection based on a strategy-aligned fuzzy SMART approach, Expert Syst. Appl., 34 (2008), 2241–2253. https://doi.org/10.1016/j.eswa.2007.03.001 doi: 10.1016/j.eswa.2007.03.001 |
[48] | N. Chai, W. Zhou, Z. Jiang, Sustainable supplier selection using an intuitionistic and interval-valued fuzzy MCDM approach based on cumulative prospect theory, Inf. Sci., (2023). https://doi.org/10.1016/j.ins.2023.01.070 doi: 10.1016/j.ins.2023.01.070 |
[49] | S. K. Kaya, A novel two-phase group decision-making model for circular supplier selection under picture fuzzy environment, Environ. Sci. Pollut. R., 30 (2023), 34135–34157. https://doi.org/10.1007/s11356-022-24486-4 doi: 10.1007/s11356-022-24486-4 |
[50] | F. Goodarzian, P. Ghasemi, E. D. S. Gonzalez, E. B. Tirkolaee, A sustainable-circular citrus closed-loop supply chain configuration: Pareto-based algorithms, J. Environ. Ma., 328 (2023), 116892. https://doi.org/10.1016/j.jenvman.2022.116892 doi: 10.1016/j.jenvman.2022.116892 |
[51] | F. Goodarzian, V. Kumar, P. Ghasemi, Investigating a citrus fruit supply chain network considering CO2 emissions using meta-heuristic algorithms, Ann. Oper. Res., (2022), 1–55. https://doi.org/10.1007/s10479-022-05005-7 doi: 10.1007/s10479-022-05005-7 |
[52] | M. Momenitabar, Z. D. Ebrahimi, M. Arani, J. Mattson, P. Ghasemi, Designing a sustainable closed-loop supply chain network considering lateral resupply and backup suppliers using fuzzy inference system, Env. Dev. Sustain., (2022), 1–34. https://doi.org/10.1007/s10668-022-02332-4 doi: 10.1007/s10668-022-02332-4 |
[53] | M. Momenitabar, Z. D. Ebrahimi, P. Ghasemi, Designing a sustainable bioethanol supply chain network: A combination of machine learning and meta-heuristic algorithms. Ind. Crops Prod., 189 (2022), 115848. https://doi.org/10.1016/j.indcrop.2022.115848 doi: 10.1016/j.indcrop.2022.115848 |
[54] | M. Momenitabar, Z. D. Ebrahimi, A. Abdollahi, W. Helmi, K. Bengtson, P. Ghasemi, An integrated machine learning and quantitative optimization method for designing sustainable bioethanol supply chain networks, Decision Anal. J., 7 (2023), 100236. https://doi.org/10.1016/j.dajour.2023.100236 doi: 10.1016/j.dajour.2023.100236 |