A novel EDAS based method for multiple attribute group decision making with Pythagorean 2-tuple linguistic information
Abstract
In this article, we combine some fundamental theories of the Pythagorean 2-tuple linguistic sets (P2TLSs) with EDAS method and design the Pythagorean 2-tuple linguistic number (P2TLN) EDAS (P2TLN-EDAS) method for multiple attribute group decision making (MAGDM) issue. Firstly, the basic concepts of P2TLSs are introduced. Next, two aggregation operators of P2TLN are defined, and then the calculation steps of EDAS method are listed briefly. Furthermore, P2TLN-EDAS method is given for MAGDM problems and computing steps are proposed in detail. Finally, a computational example related to construction safety assessment is used to expound the effectiveness of the designed method. Meanwhile, we also carried out some comparative analysis between P2TLN-EDAS method and P2TLWA/P2TLWG operators and another P2TLN-TODIM method. The results show that P2TLN-EDAS method derives the same best alternative as P2TLWA, P2TLWG operators and P2TLN-TODIM method.
First published online 24 September 2020
Keyword : MAGDM, P2TLSs, EDAS method, P2TLN-EDAS method, construction project
How to Cite
He, T., Wei, G., Lu, J., Wu, J., Wei, C., & Guo, Y. (2020). A novel EDAS based method for multiple attribute group decision making with Pythagorean 2-tuple linguistic information. Technological and Economic Development of Economy, 26(6), 1125-1138. https://doi.org/10.3846/tede.2020.12733
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Chen, T. Y. (2018). A novel PROMETHEE-based outranking approach for multiple criteria decision analysis with pythagorean fuzzy information. IEEE Access, 6, 54495–54506. https://doi.org/10.1109/ACCESS.2018.2869137
Gao, H. (2018). Pythagorean fuzzy Hamacher Prioritized aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 35, 2229–2245. https://doi.org/10.3233/JIFS-172262
Gao, H., Lu, M., & Wei, Y. (2019). Dual hesitant bipolar fuzzy hamacher aggregation operators and their applications to multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 37, 5755–5766. https://doi.org/10.3233/JIFS-18266
Gao, H., Ran, L. G., Wei, G. W., Wei, C., & Wu, J. (2020). VIKOR method for MAGDM based on q-rung interval-valued orthopair fuzzy information and its application to supplier selection of medical consumption products. International Journal of Environmental Research and Public Health, 17, 525. https://doi.org/10.3390/ijerph17020525
He, T. T., Wei, G. W., Lu, J. P., Wei, C., & Lin, R. (2019). Pythagorean 2-tuple linguistic Taxonomy method for supplier selection in medical instrument industries. International Journal of Environmental Research and Public Health, 16, 4875. https://doi.org/10.3390/ijerph16234875
He, Y., Lei, F., Wei, G. W., Wang, R., Wu, J., & Wei, C. (2019). EDAS method for multiple attribute group decision making with probabilistic uncertain linguistic information and its application to green supplier selection. International Journal of Computational Intelligence Systems, 12, 1361–1370. https://doi.org/10.2991/ijcis.d.191028.001
Herrera, F., & Martinez, L. (2001). The 2-tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 9, 33–48. https://doi.org/10.1142/S0218488501000971
Huang, Y. H., & Wei, G. W. (2018). TODIM method for Pythagorean 2-tuple linguistic multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 35, 901–915. https://doi.org/10.3233/JIFS-171636
Ilieva, G. (2018). Group decision analysis algorithms with EDAS for interval fuzzy sets. Cybernetics and Information Technologies, 18, 51–64. https://doi.org/10.2478/cait-2018-0027
Keshavarz Ghorabaee, M., Amiri, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2017a). A new multi-criteria model based on interval type-2 fuzzy sets and EDAS method for supplier evaluation and order allocation with environmental considerations. Computers & Industrial Engineering, 112, 156–174. https://doi.org/10.1016/j.cie.2017.08.017
Keshavarz Ghorabaee, M., Amiri, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2017b). Stochastic EDAS method for multi-criteria decision-making with normally distributed data. Journal of Intelligent & Fuzzy Systems, 33, 1627–1638. https://doi.org/10.3233/JIFS-17184
Keshavarz Ghorabaee, M., Zavadskas, E. K., Amiri, M., & Turskis, Z. (2016). Extended EDAS method for fuzzy multi-criteria decision-making: An application to supplier selection. International Journal of Computers Communications & Control, 11, 358–371. https://doi.org/10.15837/ijccc.2016.3.2557
Keshavarz Ghorabaee, M., Zavadskas, E. K., Olfat, L., & Turskis, Z. (2015). Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica, 26, 435–451. https://doi.org/10.15388/Informatica.2015.57
Kou, G., Ergu, D., Lin, C. S., & Chen, Y. (2016). Pairwise comparison matrix in multiple criteria decision making. Technological and Economic Development of Economy, 22, 738–765. https://doi.org/10.3846/20294913.2016.1210694
Lei, F., Wei, G. W., Lu, J. P., Wei, C., & Wu, J. (2019). GRA method for probabilistic linguistic multiple attribute group decision making with incomplete weight information and its application to waste incineration plants location problem. International Journal of Computational Intelligence Systems, 12, 1547–1556. https://doi.org/10.2991/ijcis.d.191203.002
Li, Z. X., & Lu, M. (2019). Some novel similarity and distance and measures of Pythagorean fuzzy sets and their applications. Journal of Intelligent & Fuzzy Systems, 37, 1781–1799. https://doi.org/10.3233/JIFS-179241
Li, Z. X., Wei, G. W., Wang, R., Wu, J., Wei, C., & Wei, Y. (2020). EDAS method for multiple attribute group decision making under q-rung orthopair fuzzy environment. Technological and Economic Development of Economy, 26, 86–102. https://doi.org/10.3846/tede.2019.11333
Lu, J. P., & Wei, C. (2019). TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information. Journal of Intelligent & Fuzzy Systems, 37, 1731–1740. https://doi.org/10.3233/JIFS-179236
Morente-Molinera, J. A., Kou, G., Peng, Y., Torres-Albero, C., & Herrera-Viedma, E. (2018). Analysing discussions in social networks using group decision making methods and sentiment analysis. Information Sciences, 447, 157–168. https://doi.org/10.1016/j.ins.2018.03.020
Peng, X. D., & Yang, Y. (2015). Some results for pythagorean fuzzy sets. International Journal of Intelligent Systems, 30, 1133–1160. https://doi.org/10.1002/int.21738
Ren, P. J., Xu, Z. S., & Gou, X. J. (2016). Pythagorean fuzzy TODIM approach to multi-criteria decision making. Applied Soft Computing, 42, 246–259. https://doi.org/10.1016/j.asoc.2015.12.020
Stevic, Z., Vasiljevic, M., Zavadskas, E. K., Sremac, S., & Turskis, Z. (2018). Selection of carpenter manufacturer using fuzzy EDAS method. Inzinerine Ekonomika-Engineering Economics, 29, 281–290. https://doi.org/10.5755/j01.ee.29.3.16818
Wang, J., Gao, H., & Lu, M. (2019a). Approaches to strategic supplier selection under interval neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1707–1730. https://doi.org/10.3233/JIFS-179235
Wang, J., Lu, J. P., Wei, G. W., Lin, R., & Wei, C. (2019b). Models for MADM with Single-valued neutrosophic 2-tuple linguistic muirhead mean operators. Mathematics, 7, 442. https://doi.org/10.3390/math7050442
Wang, R. (2019). Research on the application of the financial investment risk appraisal models with some interval number muirhead mean operators. Journal of Intelligent & Fuzzy Systems, 37, 1741–1752. https://doi.org/10.3233/JIFS-179237
Wei, G. W., Lu, M., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2017). Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 33, 1129–1142. https://doi.org/10.3233/JIFS-16715
Wei, G. W., Wei, C., Wu, J., & Wang, H. J. (2019). Supplier selection of medical consumption products with a probabilistic linguistic MABAC method. International Journal of Environmental Research and Public Health, 16, 5082. https://doi.org/10.3390/ijerph16245082
Wei, G. W., Zhang, S. Q., Lu, J. P., Wu, J., & Wei, C. (2019). An extended bidirectional projection method for picture fuzzy MAGDM and its application to safety assessment of construction project. IEEE Access, 7, 166138–166147. https://doi.org/10.1109/ACCESS.2019.2953316
Wu, L. P., Gao, H., & Wei, C. (2019a). VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment. Journal of Intelligent & Fuzzy Systems, 37, 2001–2008. https://doi.org/10.3233/JIFS-179262
Wu, L. P., Wang, J., & Gao, H. (2019b). Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators. Journal of Intelligent & Fuzzy Systems, 36, 5693–5709. https://doi.org/10.3233/JIFS-181545
Yager, R. R. (2014). Pythagorean membership grades in multicriteria decision making. IEEE Transactions on Fuzzy Systems, 22, 958–965. https://doi.org/10.1109/TFUZZ.2013.2278989
Gao, H. (2018). Pythagorean fuzzy Hamacher Prioritized aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 35, 2229–2245. https://doi.org/10.3233/JIFS-172262
Gao, H., Lu, M., & Wei, Y. (2019). Dual hesitant bipolar fuzzy hamacher aggregation operators and their applications to multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 37, 5755–5766. https://doi.org/10.3233/JIFS-18266
Gao, H., Ran, L. G., Wei, G. W., Wei, C., & Wu, J. (2020). VIKOR method for MAGDM based on q-rung interval-valued orthopair fuzzy information and its application to supplier selection of medical consumption products. International Journal of Environmental Research and Public Health, 17, 525. https://doi.org/10.3390/ijerph17020525
He, T. T., Wei, G. W., Lu, J. P., Wei, C., & Lin, R. (2019). Pythagorean 2-tuple linguistic Taxonomy method for supplier selection in medical instrument industries. International Journal of Environmental Research and Public Health, 16, 4875. https://doi.org/10.3390/ijerph16234875
He, Y., Lei, F., Wei, G. W., Wang, R., Wu, J., & Wei, C. (2019). EDAS method for multiple attribute group decision making with probabilistic uncertain linguistic information and its application to green supplier selection. International Journal of Computational Intelligence Systems, 12, 1361–1370. https://doi.org/10.2991/ijcis.d.191028.001
Herrera, F., & Martinez, L. (2001). The 2-tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 9, 33–48. https://doi.org/10.1142/S0218488501000971
Huang, Y. H., & Wei, G. W. (2018). TODIM method for Pythagorean 2-tuple linguistic multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 35, 901–915. https://doi.org/10.3233/JIFS-171636
Ilieva, G. (2018). Group decision analysis algorithms with EDAS for interval fuzzy sets. Cybernetics and Information Technologies, 18, 51–64. https://doi.org/10.2478/cait-2018-0027
Keshavarz Ghorabaee, M., Amiri, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2017a). A new multi-criteria model based on interval type-2 fuzzy sets and EDAS method for supplier evaluation and order allocation with environmental considerations. Computers & Industrial Engineering, 112, 156–174. https://doi.org/10.1016/j.cie.2017.08.017
Keshavarz Ghorabaee, M., Amiri, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2017b). Stochastic EDAS method for multi-criteria decision-making with normally distributed data. Journal of Intelligent & Fuzzy Systems, 33, 1627–1638. https://doi.org/10.3233/JIFS-17184
Keshavarz Ghorabaee, M., Zavadskas, E. K., Amiri, M., & Turskis, Z. (2016). Extended EDAS method for fuzzy multi-criteria decision-making: An application to supplier selection. International Journal of Computers Communications & Control, 11, 358–371. https://doi.org/10.15837/ijccc.2016.3.2557
Keshavarz Ghorabaee, M., Zavadskas, E. K., Olfat, L., & Turskis, Z. (2015). Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica, 26, 435–451. https://doi.org/10.15388/Informatica.2015.57
Kou, G., Ergu, D., Lin, C. S., & Chen, Y. (2016). Pairwise comparison matrix in multiple criteria decision making. Technological and Economic Development of Economy, 22, 738–765. https://doi.org/10.3846/20294913.2016.1210694
Lei, F., Wei, G. W., Lu, J. P., Wei, C., & Wu, J. (2019). GRA method for probabilistic linguistic multiple attribute group decision making with incomplete weight information and its application to waste incineration plants location problem. International Journal of Computational Intelligence Systems, 12, 1547–1556. https://doi.org/10.2991/ijcis.d.191203.002
Li, Z. X., & Lu, M. (2019). Some novel similarity and distance and measures of Pythagorean fuzzy sets and their applications. Journal of Intelligent & Fuzzy Systems, 37, 1781–1799. https://doi.org/10.3233/JIFS-179241
Li, Z. X., Wei, G. W., Wang, R., Wu, J., Wei, C., & Wei, Y. (2020). EDAS method for multiple attribute group decision making under q-rung orthopair fuzzy environment. Technological and Economic Development of Economy, 26, 86–102. https://doi.org/10.3846/tede.2019.11333
Lu, J. P., & Wei, C. (2019). TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information. Journal of Intelligent & Fuzzy Systems, 37, 1731–1740. https://doi.org/10.3233/JIFS-179236
Morente-Molinera, J. A., Kou, G., Peng, Y., Torres-Albero, C., & Herrera-Viedma, E. (2018). Analysing discussions in social networks using group decision making methods and sentiment analysis. Information Sciences, 447, 157–168. https://doi.org/10.1016/j.ins.2018.03.020
Peng, X. D., & Yang, Y. (2015). Some results for pythagorean fuzzy sets. International Journal of Intelligent Systems, 30, 1133–1160. https://doi.org/10.1002/int.21738
Ren, P. J., Xu, Z. S., & Gou, X. J. (2016). Pythagorean fuzzy TODIM approach to multi-criteria decision making. Applied Soft Computing, 42, 246–259. https://doi.org/10.1016/j.asoc.2015.12.020
Stevic, Z., Vasiljevic, M., Zavadskas, E. K., Sremac, S., & Turskis, Z. (2018). Selection of carpenter manufacturer using fuzzy EDAS method. Inzinerine Ekonomika-Engineering Economics, 29, 281–290. https://doi.org/10.5755/j01.ee.29.3.16818
Wang, J., Gao, H., & Lu, M. (2019a). Approaches to strategic supplier selection under interval neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37, 1707–1730. https://doi.org/10.3233/JIFS-179235
Wang, J., Lu, J. P., Wei, G. W., Lin, R., & Wei, C. (2019b). Models for MADM with Single-valued neutrosophic 2-tuple linguistic muirhead mean operators. Mathematics, 7, 442. https://doi.org/10.3390/math7050442
Wang, R. (2019). Research on the application of the financial investment risk appraisal models with some interval number muirhead mean operators. Journal of Intelligent & Fuzzy Systems, 37, 1741–1752. https://doi.org/10.3233/JIFS-179237
Wei, G. W., Lu, M., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2017). Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 33, 1129–1142. https://doi.org/10.3233/JIFS-16715
Wei, G. W., Wei, C., Wu, J., & Wang, H. J. (2019). Supplier selection of medical consumption products with a probabilistic linguistic MABAC method. International Journal of Environmental Research and Public Health, 16, 5082. https://doi.org/10.3390/ijerph16245082
Wei, G. W., Zhang, S. Q., Lu, J. P., Wu, J., & Wei, C. (2019). An extended bidirectional projection method for picture fuzzy MAGDM and its application to safety assessment of construction project. IEEE Access, 7, 166138–166147. https://doi.org/10.1109/ACCESS.2019.2953316
Wu, L. P., Gao, H., & Wei, C. (2019a). VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment. Journal of Intelligent & Fuzzy Systems, 37, 2001–2008. https://doi.org/10.3233/JIFS-179262
Wu, L. P., Wang, J., & Gao, H. (2019b). Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators. Journal of Intelligent & Fuzzy Systems, 36, 5693–5709. https://doi.org/10.3233/JIFS-181545
Yager, R. R. (2014). Pythagorean membership grades in multicriteria decision making. IEEE Transactions on Fuzzy Systems, 22, 958–965. https://doi.org/10.1109/TFUZZ.2013.2278989