RETRACTED: Multiple attribute decision making based on interval-valued Pythagorean uncertain linguistic aggregation operators

Abstract

Keywords

Multiple attribute decision making pythagorean uncertain linguistic set interval-valued Pythagorean uncertain linguistic set interval-valued Pythagorean uncertain linguistic weighted average (IVPULWA) operator interval-valued pythagorean uncertain linguistic weighted geometric (IVPULWG) operator enterprise resource planning (ERP) system selection

The following articles have been retracted at the request of the Publisher:

Zhao L, Du S. Incorporating intelligence in multiple-attribute decision-making using algorithmic framework and double-valued neutrosophic sets: Varied applications to teaching quality evaluation. International Journal of Knowledge-Based and Intelligent Engineering Systems 2025; 29(3): 348–362. DOI:10.1177/13272314241313147.

Lu M. Advancements in MADM with college English teaching quality evaluation: Integrating 2-tuple linguistic neutrosophic models with prioritized heronian mean techniques. International Journal of Knowledge-Based and Intelligent Engineering Systems 2025; 29(1): 79–94. DOI:10.3233/KES-230235.

Yao Y, Shen B. Taxonomy framework for multiple-attribute decision-making with neutrosophic sets: ESP courses teaching effectiveness case. International Journal of Knowledge-Based and Intelligent Engineering Systems 2025; 29(1): 65–78. DOI:10.3233/KES-230209.

An X. An interactive data-driven multiple-attribute decision-making technique via interval-valued intuitionistic fuzzy sets for teaching quality evaluation in higher education. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(3): 581–598. DOI:10.3233/KES-230456.

Huo J, Zhang W, Chen Z. Enhanced decision-making through an intelligent algorithmic approach for multiple-attribute college English teaching quality evaluation with interval-valued intuitionistic fuzzy sets. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(2): 279294. DOI:10.3233/KES-230299.

Sun Q, Yang L. Enhanced computer network security assessment through employing an integrated LogTODIM-TOPSIS technique under interval neutrosophic sets. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(3): 419–434. DOI:10.3233/KES-230239.

Zhao X. Enhanced EDAS framework for quality evaluation of cultural industry development under the background of digital economy based on SVNNCSM and SVNNCFSM techniques. International Journal of Knowledge-Based and Intelligent Engineering Systems 2025; 29(2): 278–293. DOI:10.1177/13272314241295918.

Huang C, Cheng Z, Guo H. ExpTODIM-driven framework for 2-tuple linguistic neutrosophic MAGDM with applications to teaching quality evaluation in higher education. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(1): 15–30. DOI:10.3233/KES-230094.

Mao C. Enhanced group decision-making through an intelligent algorithmic approach for multiple-attribute credit evaluation with 2-tuple linguistic neutrosophic sets. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(1): 163–177. DOI:10.3233/KES-230233.

Yan J, Li Y, Zheng Z. Enhancing decision-making framework for talent cultivation quality evaluation using dual Hamy mean and prioritized aggregation operators. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(3): 553–570. DOI:10.3233/KES-230289.

Maiwada UD, Danyaro KU, Sarlan A, Liew MS, Taiwo A, Audi UI. Energy efficiency in 5G systems: A systematic literature review. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(1): 93–132. DOI:10.3233/KES-230061.

Yang L, Li Q. CoCoSo framework for multi-attribute decision-making with triangular fuzzy neutrosophic sets: “Innovation and entrepreneurship” evaluation case. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(2): 263–277. DOI:10.3233/KES-230298.

Lei F, Cai Q, Wei G, Wei C. PDHL-MARCOS method based on cumulative prospect theory for MAGDM and its application in network security evaluation. International Journal of Knowledge-Based and Intelligent Engineering Systems 2024; 28(2): 359–387. DOI:10.3233/KES-230120.

Wang X. Grey relational analysis for online and offline blended teaching effectiveness evaluation of college English based on triangular fuzzy neutrosophic MADM. International Journal of Knowledge-Based and Intelligent Engineering Systems 2023; 27(2): 193–205. DOI:10.3233/KES-230106.

Wang H, Liu Y, Hou Y, Qi H. Method for multiple attribute group decision making with single-valued neutrosophic number and applications to service quality evaluation of urban public transport. International Journal of Knowledge-Based and Intelligent Engineering Systems 2023; 27(2): 233–244. DOI:10.3233/KES-221597.

Wang H, Chen* G. Improving computer network security evaluation with grey relational analysis and probabilistic simplified neutrosophic sets. International Journal of Knowledge-Based and Intelligent Engineering Systems 2023; 27(4): 425–436. DOI:10.3233/KES-230103.

Li X. Modified cross-entropy method for multiple-attribute decision making with type-2 neutrosophic number and applications to risk assessment of internet supply chain finance. International Journal of Knowledge-Based and Intelligent Engineering Systems 2023; 27(2): 207–218. DOI:10.3233/KES-230112.

Yang Y. Comprehensive analysis using triangular fuzzy neutrosophic MADM and grey relational techniques with teaching quality evaluation. International Journal of Knowledge-Based and Intelligent Engineering Systems 2023; 27(4): 461–473. DOI:10.3233/KES-230070.

Zheng X. Intelligent framework for multiple-attribute decision-making under probabilistic neutrosophic sets and its applications. International Journal of Knowledge-Based and Intelligent Engineering Systems 2023; 27(4): 503–513. DOI:10.3233/KES-230095.

Yan L. EDAS-aided intelligent decision-making in interior decoration design quality assessment using 2-tuple linguistic pythagorean fuzzy sets. International Journal of Knowledge-Based and Intelligent Engineering Systems 2023; 27(3): 273–288. DOI:10.3233/KES-230126.

Li Z, Wei G. Pythagorean fuzzy heronian mean operators in multiple attribute decision making and their application to supplier selection. International Journal of Knowledge-Based and Intelligent Engineering Systems 2019; 23(2): 77–91. DOI:10.3233/KES-190401.

Song G-F. Evaluation on water resources and water ecological security with 2-tuple linguistic information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2019; 23(1): 1–8. DOI:10.3233/KES-180393.

Gao H, Wei G-W. Multiple attribute decision making based on interval-valued Pythagorean uncertain linguistic aggregation operators. International Journal of Knowledge-Based and Intelligent Engineering Systems 2018; 22(1): 59–81. DOI:10.3233/KES-180375.

Zhang B, Wang Y, Dong M-Y. Model for evaluating the enterprise performance with triangular fuzzy information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2018; 22(1): 1–7. DOI:10.3233/KES-170371.

Xie J, Qian X. Values evaluation of WTO multilateral trading system with fuzzy number intuitionistic fuzzy information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2018; 22(4): 287–295. DOI:10.3233/KES-180392.

Wu S-J, Wei G-W. Pythagorean fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(3): 189–201. DOI:10.3233/KES-170363.

Xu X-R, Wei G-W. Dual hesitant bipolar fuzzy aggregation operators in multiple attribute decision making. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(3): 155–164. DOI:10.3233/KES-170360.

Yang M. Models for evaluating the regional carbon emissions performance under the background of urban industrial agglomerations with hesitant fuzzy linguistic information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(4): 235–242. DOI:10.3233/KES-170367.

Hua T. Model for evaluating the classification modes of the China’s college entrance examination with hesitant fuzzy information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(4): 265–272. DOI:10.3233/KES-170370.

Wu S-J, Wei G-W. Picture uncertain linguistic aggregation operators and their application to multiple attribute decision making. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(4): 243–256. DOI:10.3233/KES-170368.

Lu M, Wei G-W. Pythagorean uncertain linguistic aggregation operators for multiple attribute decision making. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(3): 165–179. DOI:10.3233/KES-170361.

Zhang C-Q, Zou Q. Model for evaluating the performance of vehicular Ad Hoc network with triangular fuzzy information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(3): 181–187. DOI:10.3233/KES-170362.

Luo W-Q. Models for selecting the marketing promotional modes of new energy vehicles financial leasing with fuzzy number intuitionistic fuzzy information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(4): 203–210. DOI:10.3233/KES-170364.

Sun G-D, Zhao L. Models for evaluating the developing performance of tourism economy with intuitionistic fuzzy information. International Journal of Knowledge-Based and Intelligent Engineering Systems 2017; 21(4): 257–263. DOI:10.3233/KES-170369.

Following an investigation, the Publisher has detected one or more of the following indicators in submissions and in the peer review process underlying the acceptance of articles:

Patterns of citation manipulation, including citations irrelevant to the research article

Indicators of third-party involvement

Evidence to suggest the articles were not peer-reviewed in line with the journal’s policies

Use of non-standard language and tortured phrases in selected articles [1].

Due to concerns around the peer review process underlying these articles and author contributions to these articles, as well as the integrity of the research process, Sage retracts these articles. The authors have been informed using email addresses provided at submission.

References:

Cabanac G, Labbé C and Magazinov A. Tortured phrases: A dubious writing style emerging in science. Evidence of critical issues affecting established journals. ArXiv 2021; DOI:10.48550/arXiv.2107.06751.

References

Herrera

and Martinez

, A 2-tuple fuzzy linguistic representation model for computing with words, IEEE Transactions on Fuzzy Systems 8 (2000), 746–752.

Herrera

and 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.

Wei

G.W.

, Interval-valued dual hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 33(3) (2017), 1881–1893.

Wei

G.W.

and Zhao

X.F.

, Methods for probabilistic decision making with linguistic information, Technological and Economic Development of Economy 20(2) (2014), 193–209.

Wei

G.W.

, Interval valued hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making, International Journal of Machine Learning and Cybernetics 7(6) (2016), 1093–1114.

Wei

G.W.

Alsaadi

F.E.

Hayat

and Alsaedi

, Hesitant fuzzy linguistic arithmetic aggregation operators in multiple attribute decision making, Iranian Journal of Fuzzy Systems 13(4) (2016), 1–16.

Lin

Wei

G.W.

Wang

H.J.

and Zhao

X.F.

, Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making, Journal of Business Economics and Management 15(5) (2014), 795–809.

Jiang

X.P.

and Wei

G.W.

, Some Bonferroni mean operators with 2-tuple linguistic information and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 27 (2014), 2153–2162.

Wei

G.W.

, Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information, Knowledge and Information Systems 25 (2010), 623–634.

10.

Wei

G.W.

, Grey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information, Expert Systems with Applications 38 (2011), 4824–4828.

11.

Q.X.

Zhao

X.F.

and Wei

G.W.

, Model for software quality evaluation with hesitant fuzzy uncertain linguistic information, Journal of Intelligent and Fuzzy Systems 26(6) (2014), 2639–2647.

12.

Wei

G.W.

, A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information, Expert Systems with Applications 37(12) (2010), 7895–7900.

13.

Wei

G.W.

, Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making, Computers & Industrial Engineering 61 (2011), 32–38.

14.

Wei

G.W.

, Picture 2-tuple linguistic Bonferroni mean operators and their application to multiple attribute decision making, International Journal of Fuzzy System 19(4) (2017), 997–1010.

15.

Wei

G.W.

Alsaadi

F.E.

Hayat

and Alsaedi

, Bipolar 2-tuple linguistic aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 33(2) (2017), 1197–1207.

16.

Wei

G.W.

and Lu

, Dual hesitant Pythagorean fuzzy Hamacher aggregation operators in multiple attribute decision making, Archives of Control Sciences 27(3) (2017), 365–395.

17.

Merigo

J.M.

Gil-Lafuente

A.M.

Zhou

L.G.

and Chen

H.Y.

, Generalization of the linguistic aggregation operator and its application in decision making, Journal of Systems Engineering and Electronics 22 (2011), 593–603.

18.

Wei

G.W.

, Some cosine similarity measures for picture fuzzy sets and their applications to strategic decision making, Informatica 28(3) (2017), 547–564.

19.

Liao

X.W.

and Lu

, A model for selecting an ERP system based on linguistic information processing, Information Systems 32(7) (2007), 1005–1017.

20.

Wang

W.P.

, Evaluating new product development performance by fuzzy linguistic computing, Expert Systems with Applications 36(6) (2009), 9759–9766.

21.

Tai

W.S.

and Chen

C.T.

, A new evaluation model for intellectual capital based on computing with linguistic variable, Expert Systems with Applications 36(2) (2009), 3483–3488.

22.

Y.J.

Tao

F.F.

and Wang

H.M.

, Some methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision making, Knowledge-Based Systems 56 (2014), 179–190.

23.

Wang

J.Q.

Wang

D.D.

Zhang

H.Y.

and Chen

X.H.

, Multi-criteria group decision making method based on interval 2-tuple linguistic information and Choquet integral aggregation operators, Soft Computing 19(2) (2015), 389–405.

24.

Qin

J.D.

and Liu

X.W.

, 2-tuple linguistic Muirhead mean operators for multiple attribute group decision making and its application to supplier selection, Kybernetes 45(1) (2016), 22–29.

25.

Zhang

W.C.

Y.J.

and Wang

H.M.

, A consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information, Int J Systems Science 47(2) (2016), 389–405.

26.

Z.S.

, Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment, Information Science 168 (2004), 171–184.

27.

Z.S.

, Induced uncertain linguistic OWA operators applied to group decision making, Information Fusion 7 (2006), 231–238.

28.

Z.S.

, An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations, Decision Support Systems 41 (2006), 488–499.

29.

Wei

G.W.

, Uncertain linguistic hybrid geometric mean operator and its application to group decision making under uncertain linguistic environment, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17(2) (2009), 251–267.

30.

Zhang

and Guo

C.H.

, A method for multi-granularity uncertain linguistic group decision making with incomplete weight information, Knowledge-based Systems 26 (2012), 111–119.

31.

Zhou

L.Y.

Lin

Zhao

X.F.

and Wei

G.W.

, Uncertain linguistic prioritized aggregation operators and their application to multiple attribute group decision making, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 21(4) (2013), 603–627.

32.

Wei

G.W.

Zhao

X.F.

Lin

and Wang

H.J.

, Uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making, Applied Mathematical Modelling 37 (2013), 5277–5285.

33.

Lin

Chen

R.Q.

and Zhang

, Similarity-based approach for group decision making with multi-granularity linguistic information, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 24(6) (2016), 873–900.

34.

Meng

F.Y.

and Chen

X.H.

, An approach to uncertain linguistic multi-attribute group decision making based on interactive index, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 23(3) (2015), 319–344.

35.

Yager

R.R.

, Pythagorean fuzzy subsets, in: Proceeding of The Joint IFSA Wprld Congress and NAFIPS Annual Meeting, Edmonton, Canada (2013), 57–61.

36.

Yager

R.R.

, Pythagorean membership grades in multicriteria decision making, IEEE Trans Fuzzy Syst 22 (2014), 958–965.

37.

Zhang

X.L.

and Xu

Z.S.

, Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets, Int J Intell Syst 29 (2014), 1061–1078.

38.

Peng

and Yang

, Some results for pythagorean fuzzy sets, International Journal of Intelligent Systems 30 (2015), 133–1160.

39.

Beliakov

and James

, Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs, FUZZ-IEEE (2014), 298–305.

40.

Reformat

and Yager

R.R.

, Suggesting recommendations using pythagorean fuzzy sets illustrated using netflix movie data, IPMU (1) (2014), 546–556.

41.

Gou

and Ren

, The properties of continuous pythagorean fuzzy information, International Journal of Intelligent Systems 31(5) (2016), 401–424.

42.

Ren

and Gou

, Pythagorean fuzzy TODIM approach to multi-criteria decision making, Applied Soft Computing 42 (2016), 246–259.

43.

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.

44.

Zeng

Chen

and Li

, A hybrid method for pythagorean fuzzy multiple-criteria decision making, International Journal of Information Technology and Decision Making 15(2) (2016), 403–422.

45.

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) (2016), 529–540.

46.

Wei

G.W.

Alsaadi

F.E.

Hayat

and 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.

47.

Wei

G.W.

Alsaadi

F.E.

Hayat

and Alsaedi

, Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 33(2) (2017), 1129–1142.

48.

and Wei

G.W.

, Pythagorean uncertain linguistic aggregation operators for multiple attribute decision making, International Journal of Knowledge-based and Intelligent Engineering Systems 21(3) (2017), 165–179.

49.

Grabisch

Murofushi

and Sugeno

, Fuzzy Measure and Integrals, New York: Physica-Verlag, 2000.

50.

Choquet

, Theory of capacities, Ann Inst Fourier 5 (1953), 131–295.

51.

Wei

G.W.

Lin

Zhao

X.F.

and Wang

H.J.

, An approach to multiple attribute decision making based on the induced Choquet integral with fuzzy number intuitionistic fuzzy information, Journal of Business Economics and Management 15(2) (2014), 277–298.

52.

Wei

G.W.

Zhao

X.F.

and Lin

, Some hesitant interval-valued fuzzy aggregation operators and their applications to multiple attribute decision making, Knowledge-Based Systems 46 (2013), 43–53.

53.

Wei

G.W.

and Zhao

X.F.

, Induced hesitant interval-valued fuzzy einstein aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 24 (2013), 789–803.

54.

Wei

G.W.

Zhao

X.F.

Lin

and Wang

H.J.

, Generalized triangular fuzzy correlated averaging operator and their application to multiple attribute decision making, Applied Mathematical Modelling 36(7) (2012), 2975–2982.

55.

Wei

G.W.

Zhao

X.F.

Wang

H.J.

and Lin

, Hesitant fuzzy choquet integral aggregation operators and their applications to multiple attribute decision making, Information: An International Interdisciplinary Journal 15(2) (2012), 441–448.

56.

Yager

R.R.

and Filev

D.P.

, Induced ordered weighted averaging operators, IEEE Transactions on Systems, Man, and Cybernetics-Part B 29 (1999), 141–150.

57.

Yager

R.R.

, On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Transactions on Systems Man and Cybernetics 18 (1988), 183–190.

58.

Z.S.

and Da

Q.L.

, An overview of operators for aggregating information, International Journal of Intelligent System 18 (2003), 953–969.

59.

Chiclana

Herrera

and Herrera-Viedma

, The ordered weighted geometric operator: Properties and application, in: Proc of 8th Int Conf on Information Processing and Management of Uncertainty in Knowledge-based Systems, Madrid, (2000), 985–991.

60.

Yager

R.R.

, Induced aggregation operators, Fuzzy Sets and Systems 137 (2003), 59–69.

61.

Yager

R.R.

, Prioritized aggregation operators, International Journal of Approximate Reasoning 48 (2008), 263–274.

62.

Ran

L.G.

and Wei

G.W.

, Uncertain prioritized operators and their application to multiple attribute group decision making, Technological and Economic Development of Economy 21(1) (2015), 118–139.

63.

Zhao

X.F.

and Wei

G.W.

, Some prioritized aggregating operators with linguistic information and their application to multiple attribute group decision making, Journal of Intelligent and Fuzzy Systems 26(4) (2014), 1619–1630.

64.

Lin

Zhao

X.F.

and Wei

G.W.

, Fuzzy number intuitionistic fuzzy prioritized operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 24 (2013), 879–888.

65.

Wei

G.W.

Alsaadi

F.E.

Hayat

Alsaedi

Bipolar

, Fuzzy aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 33(2) (2017), 1119–1128.

66.

Wei

G.W.

Alsaadi

F.E.

Hayat

and 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.

67.

Wei

G.W.

, Picture fuzzy aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 33(2) (2017), 713–724.

68.

Wei

G.W.

, Some similarity measures for picture fuzzy sets and their applications, Iranian Journal of Fuzzy Systems 15(1) (2018), 77–89.

69.

Wei

G.W.

and Wei

, Similarity measures of Pythagorean fuzzy sets based on cosine function and their applications, International Journal of Intelligent Systems 33(3) (2018), 634–652.

70.

Wang

H.J.

Zhao

X.F.

and Wei

G.W.

, Dual hesitant fuzzy aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 26(5) (2014), 2281–2290.

71.

Wei

G.W.

Alsaadi

F.E.

Hayat

and Alsaedi

, A linear assignment method for multiple criteria decision analysis with hesitant fuzzy sets based on fuzzy measure, International Journal of Fuzzy Systems 19(3) (2017), 607–614.

72.

Wei

G.W.

and Wang

J.M.

, A comparative study of robust efficiency analysis and data envelopment analysis with imprecise data, Expert Systems with Applications 81 (2017), 28–38.

73.

Wei

G.W.

, Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems 33(4) (2017), 2119–2132.

74.

X.R.

and Wei

G.W.

, Dual hesitant bipolar fuzzy aggregation operators in multiple attribute decision making, International Journal of Knowledge-based and Intelligent Engineering Systems 21(3) (2017), 155–164.

75.

Wei

G.W.

, Picture fuzzy cross-entropy for multiple attribute decision making problems, Journal of Business Economics and Management 17(4) (2016), 491–502.

76.

Wei

G.W.

, 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.

77.

Wei

G.W.

Alsaadi

F.E.

Hayat

and Alsaedi

, Picture 2-tuple linguistic aggregation operators in multiple attribute decision making, Soft Computing 22(3) (2018), 989–1002.

78.

Jiang

Han

Liu

G.R.

and Liu

G.P.

, A nonlinear interval number programming method for uncertain optimization problems, European Journal of Operational Research 188(1) (2008), 1–13.

79.

Wei

G.W.

X.R.

and Deng

D.X.

, Interval-valued dual hesitant fuzzy linguistic geometric aggregation operators in multiple attribute decision making, International Journal of Knowledge-based and Intelligent Engineering Systems 20(4) (2016), 189–196.

80.

Wei

G.W.

, Approaches to interval intuitionistic trapezoidal fuzzy multiple attribute decision making with incomplete weight information, International Journal of Fuzzy Systems 17(3) (2015), 484–489.

81.

Wei

G.W.

, Picture uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making, Kybernetes 46(10) (2017), 1777–1800.

82.

Lin

Chen

R.Q.

and Zhang

83.

Wei

G.W.

and Lu

, Pythagorean fuzzy power aggregation operators in multiple attribute decision making, International Journal of Intelligent Systems 33(1) (2018), 169–186.

84.

Zhao

X.F.

Lin

and Wei

G.W.

, Hesitant triangular fuzzy information aggregation based on Einstein operations and their application to multiple attribute decision making, Expert Systems with Applications 41(4) (2014), 1086–1094.

85.

Zhao

X.F.

and Wei

G.W.

, Some intuitionistic fuzzy einstein hybrid aggregation operators and their application to multiple attribute decision making, Knowledge-Based Systems 37 (2013), 472–479.

86.

Wei

G.W.

Zhao

X.F.

and Lin

, Some hybrid aggregating operators in linguistic decision making with Dempster-Shafer belief structure, Computers & Industrial Engineering 65 (2013), 646–651.