How to cite this paper
Bisht, G & Pal, a. (2023). A novel multi-criteria group decision-making approach using aggregation operators and weight determination method for supplier selection problem in hesitant Pythagorean fuzzy environment.Decision Science Letters , 12(3), 525-550.
Refrences
Akram, M., Khan, A., & Borumand Saeid, A. (2021). Complex Pythagorean Dombi fuzzy operators using aggregation operators and their decision‐making. Expert Systems, 38(2), e12626.
Atanassov, K., Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
Atanassov, K.T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
Banaeian, N., Mobli, H., Fahimnia, B., Nielsen, I. E., & Omid, M. (2018). Green supplier selection using fuzzy group decision making methods: A case study from the agri-food industry. Computers & Operations Research, 89, 337-347.
Chen, Z., Ming, X., Zhou, T., & Chang, Y. (2020). Sustainable supplier selection for smart supply chain considering internal and external uncertainty: An integrated rough-fuzzy approach. Applied Soft Computing, 87, 106004.
Delice, E. K., & Can, G. F. (2020). A new approach for ergonomic risk assessment integrating KEMIRA, best–worst and MCDM methods. Soft Computing, 24(19), 15093-15110.
Du, Y. W., & Gao, K. (2020). Ecological security evaluation of marine ranching with AHP-entropy-based TOPSIS: A case study of Yantai, China. Marine Policy, 122, 104223.
Freeman, J., & Chen, T. (2015). Green supplier selection using an AHP-Entropy-TOPSIS framework. Supply Chain Management: An International Journal, 20(3), 327-340.
Garg, H. (2016). A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem. Journal of Intelligent & Fuzzy Systems, 31(1), 529-540.
Garg, H. (2016). A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decision‐making processes. International Journal of Intelligent Systems, 31(12), 1234-1252.
Garg, H. (2016). Some series of intuitionistic fuzzy interactive averaging aggregation operators. SpringerPlus, 5(1), 1-27.
Garg, H. (2017). A novel improved accuracy function for interval valued Pythagorean fuzzy sets and its applications in the decision‐making process. International Journal of Intelligent Systems, 32(12), 1247-1260.
Garg, H. (2017). Generalized Pythagorean fuzzy geometric aggregation operators using Einstein t‐norm and t‐conorm for multicriteria decision‐making process. International Journal of Intelligent Systems, 32(6), 597-630.
Garg, H. (2017). Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application. Engineering Applications of Artificial Intelligence, 60, 164-174.
Garg, H. (2017). A new improved score function of an interval-valued Pythagorean fuzzy set based TOPSIS method. International Journal for Uncertainty Quantification, 7(5), 463-474.
Garg, H. (2018). Hesitant Pythagorean fuzzy sets and their aggregation operators in multiple attribute decision-making. International Journal for Uncertainty Quantification, 8(3), 267-289.
Garg, H. (2019). New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications. International Journal of Intelligent Systems, 34(1), 82-106.
Garg, H. (2020). Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process. Journal of Ambient Intelligence and Humanized Computing, 11(7), 3021-3041.
Ginevičius, R. (2011). A new determining method for the criteria weights in multicriteria evaluation. International Journal of Information Technology & Decision Making, 10(06), 1067-1095.
Gou, X., & Xu, Z. (2017). Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making. Fuzzy Optimization and decision making, 16(2), 183-204.
Khan, M. S. A., Abdullah, S., Ali, A., Siddiqui, N., & Amin, F. (2017). Pythagorean hesitant fuzzy sets and their application to group decision making with incomplete weight information. Journal of Intelligent & Fuzzy Systems, 33(6), 3971-3985.
Khan, S. A. R., Zkik, K., Belhadi, A., & Kamble, S. S. (2021). Evaluating barriers and solutions for social sustainability adoption in multi-tier supply chains. International Journal of Production Research, 59(11), 3378-3397.
Lu, M., Wei, G., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2017). Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 33(2), 1105-1117.
Luthra, S., Govindan, K., Kannan, D., Mangla, S. K., & Garg, C. P. (2017). An integrated framework for sustainable supplier selection and evaluation in supply chains. Journal of cleaner production, 140, 1686-1698.
Mahmoudi, A., Deng, X., Javed, S. A., & Zhang, N. (2021). Sustainable supplier selection in megaprojects: grey ordinal priority approach. Business Strategy and the Environment, 30(1), 318-339.
Mahmoudi, A., Javed, S. A., & Mardani, A. (2022). Gresilient supplier selection through fuzzy ordinal priority approach: decision-making in post-COVID era. Operations Management Research, 15(1-2), 208-232.
Mahmoudi, A., Sadeghi, M., & Deng, X. (2022). Performance measurement of construction suppliers under localization, agility, and digitalization criteria: Fuzzy Ordinal Priority Approach. Environment, Development and Sustainability, 1-26.
Memari, A., Dargi, A., Jokar, M. R. A., Ahmad, R., & Rahim, A. R. A. (2019). Sustainable supplier selection: A multi-criteria intuitionistic fuzzy TOPSIS method. Journal of manufacturing systems, 50, 9-24.
Rahman, K., Abdullah, S., & Hussain, F. (2019). Some generalised Einstein hybrid aggregation operators and their application to group decision-making using Pythagorean fuzzy numbers. Fuzzy Information and Engineering, 11(4), 412-427.
Rahman, K., Abdullah, S., Husain, F., & Khan, M. A. (2016). Approaches to Pythagorean fuzzy geometric aggregation operators. International Journal of Computer Science and Information Security (IJCSIS), 14(9), 174-200.
Rahman, K., Ali, A., & Sajjad Ali Khan, M. (2020). Some interval-valued Pythagorean fuzzy weighted averaging aggregation operators and their application to multiple attribute decision making. Punjab University Journal of Mathematics, 50(2), 113-129.
Sarkar, A., & Biswas, A. (2021). Maclaurin Symmetric Mean-Based Archimedean Aggregation Operators for Aggregating Hesitant Pythagorean Fuzzy Elements and Their Applications to Multicriteria Decision Making. In Pythagorean Fuzzy Sets (pp. 329-365). Springer, Singapore.
Sen, D. K., Datta, S., & Mahapatra, S. S. (2018). Sustainable supplier selection in intuitionistic fuzzy environment: a decision-making perspective. Benchmarking: An International Journal, 25(2), 545-574.
Senapati, T., Chen, G., Mesiar, R., & Saha, A. (2022). Multiple attribute decision making based on Pythagorean fuzzy Aczel-Alsina average aggregation operators. Journal of Ambient Intelligence and Humanized Computing, 1-15.
Sobhanallahi, M. A., Mahmoodzadeh, A., & Naderi, B. (2020). A novel fuzzy multi-objective method for supplier selection and order allocation problem using NSGA II. Scientia Iranica, 27(1), 481-493.
Stević, Ž., Pamučar, D., Puška, A., & Chatterjee, P. (2020). Sustainable supplier selection in healthcare industries using a new MCDM method: Measurement of alternatives and ranking according to COmpromise solution (MARCOS). Computers & Industrial Engineering, 140, 106231.
Tang, M., Wang, J., Lu, J., Wei, G., Wei, C., & Wei, Y. (2019). Dual hesitant pythagorean fuzzy heronian mean operators in multiple attribute decision making. Mathematics, 7(4), 344.
Torra, V. (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems, 25, 529–539.
Tsai, C. M., Lee, H. S., & Gan, G. Y. (2021). A new fuzzy DEA model for solving the MCDM problems in supplier selection. Journal of Marine Science and Technology, 29(1), 7.
Vasiljević, M., Fazlollahtabar, H., Stević, Ž., & Vesković, S. (2018). A rough multicriteria approach for evaluation of the supplier criteria in automotive industry. Decision Making: Applications in Management and Engineering, 1(1), 82-96.
Wang, H., Zhao, X., & Wei, G. (2014). Dual hesitant fuzzy aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 26(5), 2281-2290.
Wang, J. J., Jing, Y. Y., Zhang, C. F., & Zhao, J. H. (2009). Review on multi-criteria decision analysis aid in sustainable energy decision-making. Renewable and sustainable energy reviews, 13(9), 2263-2278.
Wang, L., Garg, H., & Li, N. (2021). Pythagorean fuzzy interactive Hamacher power aggregation operators for assessment of express service quality with entropy weight. Soft Computing, 25(2), 973-993.
Yingming, W. (1997). Using the method of maximizing deviation to make decision for multiindices. Journal of Systems Engineering and Electronics, 8(3), 21-26.
Wu, H. W., Zhen, J., & Zhang, J. (2020). Urban rail transit operation safety evaluation based on an improved CRITIC method and cloud model. Journal of Rail Transport Planning & Management, 16, 100206.
Xia, M., & Xu, Z. (2011). Hesitant fuzzy information aggregation in decision making. International journal of approximate reasoning, 52(3), 395-407.
Xu, Z. (2007). Intuitionistic fuzzy aggregation operators. IEEE Transactions on fuzzy systems, 15(6), 1179-1187.
Xu, Z., & Yager, R. R. (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International journal of general systems, 35(4), 417-433.
Yager, R. R. (2013). Pythagorean membership grades in multicriteria decision making. IEEE Transactions on Fuzzy Systems, 22(4), 958-965.
Yager, R. R., & Abbasov, A. M. (2013). Pythagorean membership grades, complex numbers, and decision making. International Journal of Intelligent Systems, 28(5), 436-452.
Yang, W., Wang, C., Liu, Y., & Sun, Y. (2019). Hesitant Pythagorean fuzzy interaction aggregation operators and their application in multiple attribute decision-making. Complex & Intelligent Systems, 5(2), 199-216.
Yu, Z., & Khan, S. A. R. (2022). Green supply chain network optimization under random and fuzzy environment. International Journal of Fuzzy Systems, 24(2), 1170-1181.
Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.
Zardari, N. H., Ahmed, K., Shirazi, S. M., & Yusop, Z. B. (2015). Weighting methods and their effects on multi-criteria decision making model outcomes in water resources management. Springer.
Zhang, X. (2016). Multicriteria Pythagorean fuzzy decision analysis: A hierarchical QUALIFLEX approach with the closeness index-based ranking methods. Information Sciences, 330, 104-124.
Zhu, B., Xu, Z., & Xia, M. (2012). Dual hesitant fuzzy sets. Journal of Applied Mathematics, 2012.
Zhu, B., Xu, Z., & Xia, M. (2012). Hesitant fuzzy geometric Bonferroni means. Information Sciences, 205, 72-85.
Atanassov, K., Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
Atanassov, K.T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
Banaeian, N., Mobli, H., Fahimnia, B., Nielsen, I. E., & Omid, M. (2018). Green supplier selection using fuzzy group decision making methods: A case study from the agri-food industry. Computers & Operations Research, 89, 337-347.
Chen, Z., Ming, X., Zhou, T., & Chang, Y. (2020). Sustainable supplier selection for smart supply chain considering internal and external uncertainty: An integrated rough-fuzzy approach. Applied Soft Computing, 87, 106004.
Delice, E. K., & Can, G. F. (2020). A new approach for ergonomic risk assessment integrating KEMIRA, best–worst and MCDM methods. Soft Computing, 24(19), 15093-15110.
Du, Y. W., & Gao, K. (2020). Ecological security evaluation of marine ranching with AHP-entropy-based TOPSIS: A case study of Yantai, China. Marine Policy, 122, 104223.
Freeman, J., & Chen, T. (2015). Green supplier selection using an AHP-Entropy-TOPSIS framework. Supply Chain Management: An International Journal, 20(3), 327-340.
Garg, H. (2016). A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem. Journal of Intelligent & Fuzzy Systems, 31(1), 529-540.
Garg, H. (2016). A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decision‐making processes. International Journal of Intelligent Systems, 31(12), 1234-1252.
Garg, H. (2016). Some series of intuitionistic fuzzy interactive averaging aggregation operators. SpringerPlus, 5(1), 1-27.
Garg, H. (2017). A novel improved accuracy function for interval valued Pythagorean fuzzy sets and its applications in the decision‐making process. International Journal of Intelligent Systems, 32(12), 1247-1260.
Garg, H. (2017). Generalized Pythagorean fuzzy geometric aggregation operators using Einstein t‐norm and t‐conorm for multicriteria decision‐making process. International Journal of Intelligent Systems, 32(6), 597-630.
Garg, H. (2017). Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application. Engineering Applications of Artificial Intelligence, 60, 164-174.
Garg, H. (2017). A new improved score function of an interval-valued Pythagorean fuzzy set based TOPSIS method. International Journal for Uncertainty Quantification, 7(5), 463-474.
Garg, H. (2018). Hesitant Pythagorean fuzzy sets and their aggregation operators in multiple attribute decision-making. International Journal for Uncertainty Quantification, 8(3), 267-289.
Garg, H. (2019). New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications. International Journal of Intelligent Systems, 34(1), 82-106.
Garg, H. (2020). Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process. Journal of Ambient Intelligence and Humanized Computing, 11(7), 3021-3041.
Ginevičius, R. (2011). A new determining method for the criteria weights in multicriteria evaluation. International Journal of Information Technology & Decision Making, 10(06), 1067-1095.
Gou, X., & Xu, Z. (2017). Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making. Fuzzy Optimization and decision making, 16(2), 183-204.
Khan, M. S. A., Abdullah, S., Ali, A., Siddiqui, N., & Amin, F. (2017). Pythagorean hesitant fuzzy sets and their application to group decision making with incomplete weight information. Journal of Intelligent & Fuzzy Systems, 33(6), 3971-3985.
Khan, S. A. R., Zkik, K., Belhadi, A., & Kamble, S. S. (2021). Evaluating barriers and solutions for social sustainability adoption in multi-tier supply chains. International Journal of Production Research, 59(11), 3378-3397.
Lu, M., Wei, G., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2017). Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 33(2), 1105-1117.
Luthra, S., Govindan, K., Kannan, D., Mangla, S. K., & Garg, C. P. (2017). An integrated framework for sustainable supplier selection and evaluation in supply chains. Journal of cleaner production, 140, 1686-1698.
Mahmoudi, A., Deng, X., Javed, S. A., & Zhang, N. (2021). Sustainable supplier selection in megaprojects: grey ordinal priority approach. Business Strategy and the Environment, 30(1), 318-339.
Mahmoudi, A., Javed, S. A., & Mardani, A. (2022). Gresilient supplier selection through fuzzy ordinal priority approach: decision-making in post-COVID era. Operations Management Research, 15(1-2), 208-232.
Mahmoudi, A., Sadeghi, M., & Deng, X. (2022). Performance measurement of construction suppliers under localization, agility, and digitalization criteria: Fuzzy Ordinal Priority Approach. Environment, Development and Sustainability, 1-26.
Memari, A., Dargi, A., Jokar, M. R. A., Ahmad, R., & Rahim, A. R. A. (2019). Sustainable supplier selection: A multi-criteria intuitionistic fuzzy TOPSIS method. Journal of manufacturing systems, 50, 9-24.
Rahman, K., Abdullah, S., & Hussain, F. (2019). Some generalised Einstein hybrid aggregation operators and their application to group decision-making using Pythagorean fuzzy numbers. Fuzzy Information and Engineering, 11(4), 412-427.
Rahman, K., Abdullah, S., Husain, F., & Khan, M. A. (2016). Approaches to Pythagorean fuzzy geometric aggregation operators. International Journal of Computer Science and Information Security (IJCSIS), 14(9), 174-200.
Rahman, K., Ali, A., & Sajjad Ali Khan, M. (2020). Some interval-valued Pythagorean fuzzy weighted averaging aggregation operators and their application to multiple attribute decision making. Punjab University Journal of Mathematics, 50(2), 113-129.
Sarkar, A., & Biswas, A. (2021). Maclaurin Symmetric Mean-Based Archimedean Aggregation Operators for Aggregating Hesitant Pythagorean Fuzzy Elements and Their Applications to Multicriteria Decision Making. In Pythagorean Fuzzy Sets (pp. 329-365). Springer, Singapore.
Sen, D. K., Datta, S., & Mahapatra, S. S. (2018). Sustainable supplier selection in intuitionistic fuzzy environment: a decision-making perspective. Benchmarking: An International Journal, 25(2), 545-574.
Senapati, T., Chen, G., Mesiar, R., & Saha, A. (2022). Multiple attribute decision making based on Pythagorean fuzzy Aczel-Alsina average aggregation operators. Journal of Ambient Intelligence and Humanized Computing, 1-15.
Sobhanallahi, M. A., Mahmoodzadeh, A., & Naderi, B. (2020). A novel fuzzy multi-objective method for supplier selection and order allocation problem using NSGA II. Scientia Iranica, 27(1), 481-493.
Stević, Ž., Pamučar, D., Puška, A., & Chatterjee, P. (2020). Sustainable supplier selection in healthcare industries using a new MCDM method: Measurement of alternatives and ranking according to COmpromise solution (MARCOS). Computers & Industrial Engineering, 140, 106231.
Tang, M., Wang, J., Lu, J., Wei, G., Wei, C., & Wei, Y. (2019). Dual hesitant pythagorean fuzzy heronian mean operators in multiple attribute decision making. Mathematics, 7(4), 344.
Torra, V. (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems, 25, 529–539.
Tsai, C. M., Lee, H. S., & Gan, G. Y. (2021). A new fuzzy DEA model for solving the MCDM problems in supplier selection. Journal of Marine Science and Technology, 29(1), 7.
Vasiljević, M., Fazlollahtabar, H., Stević, Ž., & Vesković, S. (2018). A rough multicriteria approach for evaluation of the supplier criteria in automotive industry. Decision Making: Applications in Management and Engineering, 1(1), 82-96.
Wang, H., Zhao, X., & Wei, G. (2014). Dual hesitant fuzzy aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 26(5), 2281-2290.
Wang, J. J., Jing, Y. Y., Zhang, C. F., & Zhao, J. H. (2009). Review on multi-criteria decision analysis aid in sustainable energy decision-making. Renewable and sustainable energy reviews, 13(9), 2263-2278.
Wang, L., Garg, H., & Li, N. (2021). Pythagorean fuzzy interactive Hamacher power aggregation operators for assessment of express service quality with entropy weight. Soft Computing, 25(2), 973-993.
Yingming, W. (1997). Using the method of maximizing deviation to make decision for multiindices. Journal of Systems Engineering and Electronics, 8(3), 21-26.
Wu, H. W., Zhen, J., & Zhang, J. (2020). Urban rail transit operation safety evaluation based on an improved CRITIC method and cloud model. Journal of Rail Transport Planning & Management, 16, 100206.
Xia, M., & Xu, Z. (2011). Hesitant fuzzy information aggregation in decision making. International journal of approximate reasoning, 52(3), 395-407.
Xu, Z. (2007). Intuitionistic fuzzy aggregation operators. IEEE Transactions on fuzzy systems, 15(6), 1179-1187.
Xu, Z., & Yager, R. R. (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International journal of general systems, 35(4), 417-433.
Yager, R. R. (2013). Pythagorean membership grades in multicriteria decision making. IEEE Transactions on Fuzzy Systems, 22(4), 958-965.
Yager, R. R., & Abbasov, A. M. (2013). Pythagorean membership grades, complex numbers, and decision making. International Journal of Intelligent Systems, 28(5), 436-452.
Yang, W., Wang, C., Liu, Y., & Sun, Y. (2019). Hesitant Pythagorean fuzzy interaction aggregation operators and their application in multiple attribute decision-making. Complex & Intelligent Systems, 5(2), 199-216.
Yu, Z., & Khan, S. A. R. (2022). Green supply chain network optimization under random and fuzzy environment. International Journal of Fuzzy Systems, 24(2), 1170-1181.
Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.
Zardari, N. H., Ahmed, K., Shirazi, S. M., & Yusop, Z. B. (2015). Weighting methods and their effects on multi-criteria decision making model outcomes in water resources management. Springer.
Zhang, X. (2016). Multicriteria Pythagorean fuzzy decision analysis: A hierarchical QUALIFLEX approach with the closeness index-based ranking methods. Information Sciences, 330, 104-124.
Zhu, B., Xu, Z., & Xia, M. (2012). Dual hesitant fuzzy sets. Journal of Applied Mathematics, 2012.
Zhu, B., Xu, Z., & Xia, M. (2012). Hesitant fuzzy geometric Bonferroni means. Information Sciences, 205, 72-85.