References:
[1] R.R. Yager, Pythagorean fuzzy subsets, in: Proceeding of The Joint IFSA Wprld Congress and NAFIPS Annual Meeting, Edmonton, Canada, 2013, pp. 57–61.
[2] R.R. Yager, Pythagorean membership grades in multicriteria decision making, IEEE Trans. Fuzzy Syst. 22 (2014) 958–965.
[3] X.L.Zhang, Z.S.Xu, Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets, Int. J. Intell. Syst. 29(2014)1061–1078.
[4] X. Peng, Y.Yang, Some results for Pythagorean Fuzzy Sets, International Journal of Intelligent systems 30(2015)1133–1160.
[5] Gleb Beliakov, Simon James, Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs. FUZZ-IEEE 2014: 298-305.
[6] Marek Reformat, Ronald R. Yager, Suggesting Recommendations Using Pythagorean Fuzzy Sets illustrated Using Netflix Movie Data. IPMU (1) 2014: 546-556.
[7] Xunjie Gou, Zeshui Xu, Peijia Ren, The Properties of Continuous Pythagorean Fuzzy Information. International Journal of Intelligent systems 31(5): 401-424(2016).
[8] Harish Garg, A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making. International Journal of Intelligent systems 31(9) (2016): 886-920.
[9] Shouzhen Zeng, Jianping Chen, Xingsen Li, A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making. International Journal of Information Technology and Decision Making 15(2): 403-422 (2016).
[10] Harish Garg, A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem. Journal of Intelligent and Fuzzy Systems 31(1): 529-540 (2016).
[11] Peijia Ren, Zeshui Xu, Xunjie Gou, Pythagorean fuzzy TODIM approach to multi-criteria decision making. Appl. Soft Comput. 42(2016): 246-259.
[12] G.W.Wei, M. Lu, Pythagorean Fuzzy Maclaurin Symmetric Mean Operators in Multiple Attribute Decision Making, International Journal of Intelligent Systems, 2016. DOI: 10.1002/int.21911.
[13] C. Maclaurin, A second letter to Martin Folkes, Esq.; concerning the roots of equations, with demonstration of other rules of algebra, Philos Trans Roy Soc London Ser A 36 (1729),59–96.
[14] G.W.Wei, Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 33(4) (2017): 2119-2132.
[15] S. J. Wu, G.W. Wei, Pythagorean fuzzy Hamacher aggregation operators and their application to multiple attribute decision making, International Journal of Knowledge-based and Intelligent Engineering Systems, 21(3) (2017) 189-201.
[16] G.W.Wei, M. Lu, Dual hesitant Pythagorean fuzzy Hamacher aggregation operators in multiple attribute decision making, Archives of Control Sciences, 27(3) (2017): 365–395.
[17] M. Lu, G.W.Wei, Fuad E. Alsaadi, Tasawar Hayat, Ahmed Alsaedi, Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 33(2) (2017): 1105-1117.
[18] G.W.Wei, M. Lu, X.Y. Tang, Y. Wei, Pythagorean Hesitant Fuzzy Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making, International Journal of Intelligent Systems, 33(6) (2018) 1197-1233.
[19] H. Gao, M. Lu, G.W. Wei, Y. Wei, Some novel Pythagorean fuzzy interaction aggregation operators in multiple attribute decision making, Fundamenta Informaticae, 159(4) (2018) 385-428.
[20] G.W. Wei, Y. Wei, Similarity measures of Pythagorean fuzzy sets based on cosine function and their applications, International Journal of Intelligent Systems, 33(3) (2018) 634-652.
[21] Wenting Xue, Zeshui Xu, Xiaolu Zhang, Xiaoli Tian, Pythagorean Fuzzy LINMAP Method Based on the Entropy Theory for Railway Project Investment Decision Making. Int. J. Intell. Syst. 33(1):93-125 (2018).
[22] G.W.Wei, M. Lu, Pythagorean fuzzy power aggregation operators in multiple attribute decision making, International Journal of Intelligent Systems, 33(1) (2018) 169-186.
[23] Prasenjit Mandal, A. S. Ranadive, Decision-theoretic rough sets under Pythagorean fuzzy information. Int. J. Intell. Syst. 33(4): 818-835 (2018).
[24] Decui Liang, Yinrunjie Zhang, Zeshui Xu, Adjei Peter Darko, Pythagorean fuzzy Bonferroni mean aggregation operator and its accelerative calculating algorithm with the multithreading. Int. J. Intell. Syst. 33(3): 615-633 (2018).
[25] Ulas Baran Baloglu, Yakup Demir, An Agent-Based Pythagorean Fuzzy Approach for Demand Analysis with Incomplete Information. Int. J. Intell. Syst. 33(5): 983-997 (2018).
[26] Ting-Yu Chen, An Interval-Valued Pythagorean Fuzzy Outranking Method with a Closeness-Based Assignment Model for Multiple Criteria Decision Making. Int. J. Intell. Syst. 33(1): 126-168 (2018).
[27] Harish Garg, A Linear Programming Method Based on an Improved Score Function for Interval-Valued Pythagorean Fuzzy Numbers and Its Application to Decision-Making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 26(1): 67-80 (2018).
[28] Muhammad Sajjad Ali Khan, Saleem Abdullah, Muhammad Yousaf Ali, Iqtadar Hussain, Muhammad Farooq, Extension of TOPSIS method base on Choquet integral under interval-valued Pythagorean fuzzy environment. Journal of Intelligent and Fuzzy Systems 34(1): 267-282 (2018).
[29] Shu-Ping Wan, Zhen Jin, Jiu-Ying Dong, Pythagorean fuzzy mathematical programming method for multi-attribute group decision making with Pythagorean fuzzy truth degrees. Knowl. Inf. Syst. 55(2): 437-466 (2018)
[30] Harish Garg, New exponential operational laws and their aggregation operators for interval-valued Pythagorean fuzzy multicriteria decision-making. Int. J. Intell. Syst. 33(3): 653-683 (2018).
[31] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965)338- 356.
[32] K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
[33] K.Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33 (1989)37- 46.
[34] V. Torra, Hesitant fuzzy sets, International Journal of Intelligent Systems 25(2010) 529-539.
[35] Bin Zhu, Zeshui Xu, Meimei Xia, Dual hesitant fuzzy sets, Journal of Applied Mathematics. 2012(2012), Article ID 879629, 13 pages. http://www.hindawi. com/ journals/ jam/2012 /879629/ .
[36] H.J. Wang, X.F. Zhao, G.W. Wei, Dual hesitant fuzzy aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 26(5) (2014) 2281–2290.
[37] Peide Liu, Guolin Tang, Multi-criteria Group Decision-Making Based on Interval Neutrosophic Uncertain Linguistic Variables and Choquet Integral. Cognitive Computation 8(6): 1036-1056 (2016).
[38] Fanyong Meng, Chen Wang, Xiaohong Chen, Linguistic Interval Hesitant Fuzzy Sets and Their Application in Decision Making. Cognitive Computation 8(1): 52-68 (2016).
[39] Jian-qiang Wang, Jin-jue Kuang, Jing Wang, Hong-yu Zhang, An Extended Outranking Approach to Rough Stochastic Multi-criteria Decision-Making Problems. Cognitive Computation 8(6): 1144-1160 (2016).
[40] X.Y. Tang, G.W.Wei, Models for green supplier selection in green supply chain management with Pythagorean 2-tuple linguistic information. IEEE Access, 6(2018) 18042-18060.
[41] G.W.Wei, M. Lu, Fuad E. Alsaadi, Tasawar Hayat, Ahmed Alsaedi, Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 33(2) (2017): 1129-1142.
[42] J. Wang, G.W. Wei, Y. Wei, Models for Green Supplier Selection with Some 2-Tuple Linguistic Neutrosophic Number Bonferroni Mean Operators. Symmetry 2018, 10(5), 131; doi:10.3390/sym10050131.
[43] S. Wu, J. Wang, G. Wei, Y. Wei, Research on Construction Engineering Project Risk Assessment with Some 2-Tuple Linguistic Neutrosophic Hamy Mean Operators. Sustainability, 10 (5) (2018) 1536. https://doi.org/10.3390/su10051536.
[44] G.W. Wei, Z.P. Zhang, Some Single-Valued Neutrosophic Bonferroni Power Aggregation Operators in Multiple Attribute Decision Making, Journal of Ambient Intelligence and Humanized Computing, 2018. https://doi.org/10.1007/s12652-018-0738-y.
[45] G.W. Wei, H. Gao, Y. Wei, Some q-Rung Orthopair Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making, International Journal of Intelligent Systems, 2018. https://DOI:10.1002/int.21985.
[46] F. Herrera, and L. Martinez, A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8(2000) 746–752.
[47] F. Herrera, and L. Martinez, An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 8 (2000) 539-562.
[48] R.F. Muirhead, Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters, Proceedings of the Edinburgh Mathematical Society, 21(3) (1902) 144-162.
[49] J.Q.Qin, X.W. Liu, 2-tuple linguistic Muirhead mean operators for multiple attribute group decision making and its application to supplier selection, Kybernetes, 45(1) (2017) 2-29.
[50] H. Garg, Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision making process, International Journal of Intelligent Systems, 33(6) (2018) 1234-1263.
[51] Ting-Yu Chen, The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making. Appl. Soft Comput. 26: 57-73 (2015).
[52] G.W. Wei, Fuad E. Alsaadi, Tasawar Hayat, Ahmed Alsaedi, Projection models for multiple attribute decision making with picture fuzzy information, International Journal of Machine Learning and Cybernetics, 9(4) (2018) 713-719.
[53] G.W. Wei, H. Gao, The generalized Dice similarity measures for picture fuzzy sets and their applications, Informatica, 29(1) (2018): 1-18.
[54] Ting-Yu Chen, The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making. Appl. Soft Comput. 26: 57-73 (2015).
[55] D.J. Yu, Y.Y. Wu, T. Lu, Interval-valued intuitionistic fuzzy prioritized operators and their application in group decision making, Knowledge-based Systems, 30(2012) 57-66.
[56] G.W.Wei, Fuad E. Alsaadi, Tasawar Hayat, Ahmed Alsaedi, Bipolar fuzzy Hamacher aggregation operators in multiple attribute decision making, International Journal of Fuzzy System, 20(1) (2018):1–12.
[57] Peide Liu, Lili Zhang, Xi Liu, Peng Wang, Multi-Valued Neutrosophic Number Bonferroni Mean Operators with their Applications in Multiple Attribute Group Decision Making.International Journal of Information Technology and Decision Making 15(5): 1181-1210 (2016).
[58] Peide Liu, Shuya Wang, Yanchang Chu,Some intuitionistic linguistic dependent Bonferroni mean operators and application in group decision-making. Journal of Intelligent and Fuzzy Systems 33(2): 1275-1292 (2017).
[59] Peide Liu, Honggang Li, Multiple attribute decision-making method based on some normal neutrosophic Bonferroni mean operators. Neural Computing and Applications 28(1): 179-194 (2017).
[60] G.W. Wei, Some similarity measures for picture fuzzy sets and their applications, Iranian Journal of Fuzzy Systems, 15(1) (2018) 77-89.
[61] Ting-Yu Chen, Remoteness index-based Pythagorean fuzzy VIKOR methods with a generalized distance measure for multiple criteria decision analysis. Information Fusion 41: 129-150 (2018).
[62] Decui Liang, Zeshui Xu, Dun Liu, Yao Wu, Method for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information. Inf. Sci. 435: 282-295 (2018).
[63] Ulas Baran Baloglu, Yakup Demir, An Agent-Based Pythagorean Fuzzy Approach for Demand Analysis with Incomplete Information. Int. J. Intell. Syst. 33(5) (2018) 983-997.
[64] H. Gao, G.W. Wei,Y.H. Huang, Dual hesitant bipolar fuzzy Hamacher prioritized aggregation operators in multiple attribute decision making, IEEE Access, 6(1) (2018) 11508-11522.
[65] Ting-Yu Chen, An Interval-Valued Pythagorean Fuzzy Outranking Method with a Closeness-Based Assignment Model for Multiple Criteria Decision Making. Int. J. Intell. Syst. 33(1) (2018) 126-168.
[66] Deqing Li, Wenyi Zeng, Distance Measure of Pythagorean Fuzzy Sets. Int. J. Intell. Syst. 33(2) (2018) 348-361.
[67] G.W. Wei, Fuad E. Alsaadi, Tasawar Hayat, Ahmed Alsaedi, Projection models for multiple attribute decision making with picture fuzzy information, International Journal of Machine Learning and Cybernetics, 9(4) (2018) 713-719.
[68] G.W. Wei, H. Gao, The generalized Dice similarity measures for picture fuzzy sets and their applications, Informatica, 29(1) (2018): 1-18.
[69] Muhammad Sajjad Ali Khan, Saleem Abdullah, Muhammad Yousaf Ali, Iqtadar Hussain, Muhammad Farooq, Extension of TOPSIS method base on Choquet integral under interval-valued Pythagorean fuzzy environment. Journal of Intelligent and Fuzzy Systems 34(1): 267-282 (2018).
[70] G.W. Wei, Picture fuzzy Hamacher aggregation operators and their application to multiple attribute decision making, Fundamenta Informaticae, 157(3) (2018) 271–320. DOI 10.3233/FI-2018-1628.
[71] Ting-Yu Chen, Remoteness index-based Pythagorean fuzzy VIKOR methods with a generalized distance measure for multiple criteria decision analysis. Information Fusion 41 (2018) 129-150.
[72] Vahid Mohagheghi, S. Meysam Mousavi, Behnam Vahdani, Enhancing decision-making flexibility by introducing a new last aggregation evaluating approach based on multi-criteria group decision making and Pythagorean fuzzy sets. Appl. Soft Comput. 61: 527-535 (2017).
[73] G.W.Wei, Picture uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making, Kybernetes, 46(10) (2017) 1777-1800.
[74] Harish Garg, Generalized Pythagorean Fuzzy Geometric Aggregation Operators Using Einstein t-Norm and t-Conorm for Multicriteria Decision-Making Process. Int. J. Intell. Syst. 32(6): 597-630 (2017).
[75] G.W. Wei, Some cosine similarity measures for picture fuzzy sets and their applications to strategic decision making, Informatica, 28(3) (2017): 547-564.
[76] Xindong Peng, Jingguo Dai, Approaches to Pythagorean Fuzzy Stochastic Multi-criteria Decision Making Based on Prospect Theory and Regret Theory with New Distance Measure and Score Function. Int. J. Intell. Syst. 32(11): 1187-1214 (2017).
[77] J.M. Merigo, A. M. Gil-Lafuente, Fuzzy induced generalized aggregation operators and its application in multi-person decision making, Expert Systems with Applications 38 (8) (2011) 9761-9772.
[78] José M. Merigó, Anna M. Gil-Lafuente, Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making, Information Sciences, 236(1) (2013)1-16.
)
