Models for Safety Assessment of Construction Project With Some 2-Tuple Linguistic Pythagorean Fuzzy Bonferroni Mean Operators

For this paper, to consider both Bonferroni mean (BM) operator and two-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs), we combine the weighted BM (WBM) operator, the generalized WBM (GWBM) operator, and the dual GWBM operator with 2TLPFNs to propose the two-tuple linguistic Pythagorean WBM (2TLPFWBM) operator, the 2TLPFWGBM operator, the generalized 2TLPFWBM (G2TLPFWBM) operator, the generalized 2TLPFWGBM operator, the dual G2TLPFWBM operator, and the dual G2TLPFWGBM operator. Then, some MADM procedures are developed based on these operators. At last, an applicable example for a safety assessment of construction project is given.

[1]  Zeshui Xu,et al.  Symmetric Pythagorean Fuzzy Weighted Geometric/Averaging Operators and Their Application in Multicriteria Decision‐Making Problems , 2016, Int. J. Intell. Syst..

[2]  G. Wei,et al.  SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS , 2018 .

[3]  YE Jun,et al.  Some Weighted Aggregation Operators of Trapezoidal Neutrosophic Numbers and Their Multiple Attribute Decision Making Method , 2016 .

[4]  Fuad E. Alsaadi,et al.  Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making , 2017, J. Intell. Fuzzy Syst..

[5]  Ronald R. Yager,et al.  Pythagorean Membership Grades in Multicriteria Decision Making , 2014, IEEE Transactions on Fuzzy Systems.

[6]  Harish Garg,et al.  Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision‐making process , 2018, Int. J. Intell. Syst..

[7]  Runtong Zhang,et al.  Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making , 2017, Complex..

[8]  Gui-Wu Wei,et al.  Pythagorean fuzzy Hamacher aggregation operators and their application to multiple attribute decision making , 2017, Int. J. Knowl. Based Intell. Eng. Syst..

[9]  Yong Yang,et al.  Fundamental Properties of Interval‐Valued Pythagorean Fuzzy Aggregation Operators , 2016, Int. J. Intell. Syst..

[10]  Guiwu Wei,et al.  Pythagorean hesitant fuzzy Hamacher aggregation operators and their application to multiple attribute decision making , 2018, Int. J. Intell. Syst..

[11]  Hui Gao,et al.  The Generalized Dice Similarity Measures for Picture Fuzzy Sets and Their Applications , 2018, Informatica.

[12]  Wenyi Zeng,et al.  Distance Measure of Pythagorean Fuzzy Sets , 2018, Int. J. Intell. Syst..

[13]  Guiwu Wei,et al.  Picture uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making , 2017, Kybernetes.

[14]  Prasenjit Mandal,et al.  Decision‐theoretic rough sets under Pythagorean fuzzy information , 2018, Int. J. Intell. Syst..

[15]  Guiwu Wei,et al.  Research on Construction Engineering Project Risk Assessment with Some 2-Tuple Linguistic Neutrosophic Hamy Mean Operators , 2018 .

[16]  Zeshui Xu,et al.  Pythagorean fuzzy Bonferroni mean aggregation operator and its accelerative calculating algorithm with the multithreading , 2018, Int. J. Intell. Syst..

[17]  Zeshui Xu,et al.  The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets , 2017, Appl. Soft Comput..

[18]  Harish Garg,et al.  A Novel Correlation Coefficients between Pythagorean Fuzzy Sets and Its Applications to Decision‐Making Processes , 2016, Int. J. Intell. Syst..

[19]  S. Meysam Mousavi,et al.  Enhancing decision-making flexibility by introducing a new last aggregation evaluating approach based on multi-criteria group decision making and Pythagorean fuzzy sets , 2017, Appl. Soft Comput..

[20]  Zeshui Xu,et al.  Hesitant fuzzy geometric Bonferroni means , 2012, Inf. Sci..

[21]  Yu-Han Huang,et al.  TODIM method for Pythagorean 2-tuple linguistic multiple attribute decision making , 2018, J. Intell. Fuzzy Syst..

[22]  Shyi-Ming Chen,et al.  A new multiple attribute decision making method based on linear programming methodology and novel score function and novel accuracy function of interval-valued intuitionistic fuzzy values , 2018, Inf. Sci..

[23]  Yong Yang,et al.  Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making , 2016, Int. J. Intell. Syst..

[24]  Yashuai Li,et al.  Linguistic multi-attribute decision making with multiple priorities , 2017, Comput. Ind. Eng..

[25]  Harish Garg,et al.  Some methods for strategic decision‐making problems with immediate probabilities in Pythagorean fuzzy environment , 2018, Int. J. Intell. Syst..

[26]  Harish Garg,et al.  New exponential operational laws and their aggregation operators for interval‐valued Pythagorean fuzzy multicriteria decision‐making , 2018, Int. J. Intell. Syst..

[27]  Ronald R. Yager,et al.  Pythagorean fuzzy subsets , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).

[28]  Fuad E. Alsaadi,et al.  Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making , 2017, J. Intell. Fuzzy Syst..

[29]  Shu-Ping Wan,et al.  Pythagorean fuzzy mathematical programming method for multi-attribute group decision making with Pythagorean fuzzy truth degrees , 2017, Knowledge and Information Systems.

[30]  Hui Gao,et al.  Dual Hesitant Bipolar Fuzzy Hamacher Prioritized Aggregation Operators in Multiple Attribute Decision Making , 2018, IEEE Access.

[31]  Hui Gao,et al.  Some q‐rung orthopair fuzzy Heronian mean operators in multiple attribute decision making , 2018, Int. J. Intell. Syst..

[32]  Guiwu Wei,et al.  Models for Green Supplier Selection in Green Supply Chain Management With Pythagorean 2-Tuple Linguistic Information , 2018, IEEE Access.

[33]  Zeshui Xu,et al.  Pythagorean Fuzzy LINMAP Method Based on the Entropy Theory for Railway Project Investment Decision Making , 2018, Int. J. Intell. Syst..

[34]  Yonghua Hao,et al.  Study on the ranking problems in multiple attribute decision making based on interval‐valued intuitionistic fuzzy numbers , 2018, Int. J. Intell. Syst..

[35]  Cengiz Kahraman,et al.  Multicriteria Evaluation of Cloud Service Providers Using Pythagorean Fuzzy TOPSIS , 2018, J. Multiple Valued Log. Soft Comput..

[36]  Guiwu Wei,et al.  Approaches to Multiple-Attribute Decision-Making Based on Pythagorean 2-Tuple Linguistic Bonferroni Mean Operators , 2018, Algorithms.

[37]  Ting-Yu Chen,et al.  Remoteness index-based Pythagorean fuzzy VIKOR methods with a generalized distance measure for multiple criteria decision analysis , 2018, Inf. Fusion.

[38]  Fuad E. Alsaadi,et al.  Projection models for multiple attribute decision making with picture fuzzy information , 2016, International Journal of Machine Learning and Cybernetics.

[39]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[40]  Chao Zhang,et al.  Pythagorean Fuzzy Multigranulation Rough Set over Two Universes and Its Applications in Merger and Acquisition , 2016, Int. J. Intell. Syst..

[41]  Xiaolu Zhang,et al.  A Novel Approach Based on Similarity Measure for Pythagorean Fuzzy Multiple Criteria Group Decision Making , 2016, Int. J. Intell. Syst..

[42]  Harish Garg,et al.  A Linear Programming Method Based on an Improved Score Function for Interval-Valued Pythagorean Fuzzy Numbers and Its Application to Decision-Making , 2018, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[43]  Yi Liu,et al.  Multicriteria decision making method based on generalized Pythagorean fuzzy ordered weighted distance measures , 2017, J. Intell. Fuzzy Syst..

[44]  Fuad E. Alsaadi,et al.  Picture 2-tuple linguistic aggregation operators in multiple attribute decision making , 2016, Soft Computing.

[45]  Harish Garg,et al.  A Novel Improved Accuracy Function for Interval Valued Pythagorean Fuzzy Sets and Its Applications in the Decision‐Making Process , 2017, Int. J. Intell. Syst..

[46]  Gui-Wu Wei,et al.  Pythagorean fuzzy power aggregation operators in multiple attribute decision making , 2018, Int. J. Intell. Syst..

[47]  Guiwu Wei,et al.  Some single-valued neutrosophic dombi prioritized weighted aggregation operators in multiple attribute decision making , 2018, J. Intell. Fuzzy Syst..

[48]  Xiaolu Zhang,et al.  Multicriteria Pythagorean fuzzy decision analysis: A hierarchical QUALIFLEX approach with the closeness index-based ranking methods , 2016, Inf. Sci..

[49]  Gleb Beliakov,et al.  Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs , 2014, 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[50]  Zeshui Xu,et al.  Pythagorean fuzzy TODIM approach to multi-criteria decision making , 2016, Appl. Soft Comput..

[51]  Yong Yang,et al.  Pythagorean Fuzzy Information Measures and Their Applications , 2017, Int. J. Intell. Syst..

[52]  Guiwu Wei,et al.  Pythagorean Fuzzy Maclaurin Symmetric Mean Operators in Multiple Attribute Decision Making , 2018, Int. J. Intell. Syst..

[53]  Yi Yang,et al.  A Note on Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets , 2016, Int. J. Intell. Syst..

[54]  Omolbanin Yazdanbakhsh,et al.  On Pythagorean and Complex Fuzzy Set Operations , 2016, IEEE Transactions on Fuzzy Systems.

[55]  Zeshui Xu,et al.  Projection Model for Fusing the Information of Pythagorean Fuzzy Multicriteria Group Decision Making Based on Geometric Bonferroni Mean , 2017, Int. J. Intell. Syst..

[56]  Hui Gao,et al.  Some Novel Pythagorean Fuzzy Interaction Aggregation Operators in Multiple Attribute Decision Making , 2018, Fundam. Inform..

[57]  Jie Wang,et al.  Research on Risk Evaluation of Enterprise Human Capital Investment With Interval-Valued Bipolar 2-Tuple Linguistic Information , 2018, IEEE Access.

[58]  Xindong Peng,et al.  Approaches to Pythagorean Fuzzy Stochastic Multi‐criteria Decision Making Based on Prospect Theory and Regret Theory with New Distance Measure and Score Function , 2017, Int. J. Intell. Syst..

[59]  Yanbing Ju,et al.  Multiple attribute group decision making based on Maclaurin symmetric mean operator under single-valued neutrosophic interval 2-tuple linguistic environment , 2018, J. Intell. Fuzzy Syst..

[60]  Fuad E. Alsaadi,et al.  Bipolar Fuzzy Hamacher Aggregation Operators in Multiple Attribute Decision Making , 2017, International Journal of Fuzzy Systems.

[61]  Guiwu Wei,et al.  Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications , 2018, Int. J. Intell. Syst..

[62]  Harish Garg,et al.  Generalized Pythagorean Fuzzy Geometric Aggregation Operators Using Einstein t‐Norm and t‐Conorm for Multicriteria Decision‐Making Process , 2017, Int. J. Intell. Syst..

[63]  Xindong Peng,et al.  Fundamental Properties of Pythagorean Fuzzy Aggregation Operators , 2016, Fundam. Informaticae.

[64]  Shouzhen Zeng,et al.  A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making , 2018, Int. J. Intell. Syst..

[65]  Harish Garg,et al.  Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process , 2017, Computational and Mathematical Organization Theory.

[66]  Guiwu Wei,et al.  Interval-valued dual hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making , 2017, J. Intell. Fuzzy Syst..

[67]  Hui Li,et al.  Acquiring and Sharing Tacit Knowledge Based on Interval 2-Tuple Linguistic Assessments and Extended Fuzzy Petri Nets , 2018, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[68]  Guiwu Wei Correction to "Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making" , 2018, J. Intell. Fuzzy Syst..

[69]  Guiwu Wei,et al.  Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making , 2017, J. Intell. Fuzzy Syst..

[70]  Zeshui Xu,et al.  The Properties of Continuous Pythagorean Fuzzy Information , 2016, Int. J. Intell. Syst..

[71]  Yong Yang,et al.  Some Results for Pythagorean Fuzzy Sets , 2015, Int. J. Intell. Syst..

[72]  Jie Wang,et al.  Models for Green Supplier Selection with Some 2-Tuple Linguistic Neutrosophic Number Bonferroni Mean Operators , 2018, Symmetry.

[73]  Gwang-Il Kim,et al.  Minkowski Pythagorean-hodograph preserving mappings , 2016, J. Comput. Appl. Math..

[74]  Rehan Ahmed,et al.  Pythagorean fuzzy Einstein weighted geometric aggregation operator and their application to multiple attribute group decision making , 2017, J. Intell. Fuzzy Syst..

[75]  Carlo Bonferroni Sulle medie multiple di potenze , 1950 .

[76]  Ulas Baran Baloglu,et al.  An Agent‐Based Pythagorean Fuzzy Approach for Demand Analysis with Incomplete Information , 2018, Int. J. Intell. Syst..

[77]  Zeshui Xu,et al.  Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets , 2014, Int. J. Intell. Syst..

[78]  Iqtadar Hussain,et al.  Extension of TOPSIS method base on Choquet integral under interval-valued Pythagorean fuzzy environment , 2018, J. Intell. Fuzzy Syst..

[79]  Ronald R. Yager,et al.  Generalized Bonferroni mean operators in multi-criteria aggregation , 2010, Fuzzy Sets Syst..

[80]  Zeshui Xu,et al.  Method for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information , 2018, Inf. Sci..