An Extended Bidirectional Projection Method for Picture Fuzzy MAGDM and Its Application to Safety Assessment of Construction Project

In this article, we shall introduce picture fuzzy bidirectional projection method and some fundamental theories of picture fuzzy information. First of all, we briefly review the definition of picture fuzzy sets (PFS) and introduce the score function, accuracy function and operational laws of PFS. In addition, to fuse overall picture fuzzy evaluation information, we introduce two aggregation operators of PFS including PFWA and PFWG operators. Furthermore, the picture fuzzy bidirectional projection method for multiple attribute group decision making (MAGDM) is established and all computing steps are simply depicted. In our presented model, it’s more accuracy and effective for considering the conflicting attributes. Finally, a numerical example for safety assessment of construction project has been given to illustrate this new model and some comparisons between bidirectional projection method with picture fuzzy numbers (PFNs) and PFWA, PFWG aggregation operators are also conducted to further illustrate advantages of the new method.

[1]  Guiwu Wei,et al.  Picture Fuzzy Hamacher Aggregation Operators and their Application to Multiple Attribute Decision Making , 2018, Fundam. Informaticae.

[2]  Krassimir T. Atanassov,et al.  Interval-Valued Intuitionistic Fuzzy Sets , 2019, Studies in Fuzziness and Soft Computing.

[3]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[4]  Guiwu Wei,et al.  The generalized Dice similarity measures for Pythagorean fuzzy multiple attribute group decision making , 2019, Int. J. Intell. Syst..

[5]  Jing Liu,et al.  Hot money and China’s stock market volatility: Further evidence using the GARCH–MIDAS model , 2018 .

[6]  Gui-Wu Wei,et al.  Pythagorean Fuzzy Hamacher Power Aggregation Operators in Multiple Attribute Decision Making , 2019, Fundam. Informaticae.

[7]  Cun Wei,et al.  EDAS METHOD FOR MULTIPLE CRITERIA GROUP DECISION MAKING WITH PICTURE FUZZY INFORMATION AND ITS APPLICATION TO GREEN SUPPLIERS SELECTIONS , 2019, Technological and Economic Development of Economy.

[8]  Guiwu Wei,et al.  Dual Hesitant Pythagorean Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making , 2019, Mathematics.

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

[10]  Harish Garg.  Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making , 2017, Arabian Journal for Science and Engineering.

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

[12]  Guiwu Wei,et al.  Some 2-tuple linguistic neutrosophic number Muirhead mean operators and their applications to multiple attribute decision making , 2018, J. Exp. Theor. Artif. Intell..

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

[14]  Guiwu Wei,et al.  Similarity Measures of q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications , 2019, Mathematics.

[15]  Peide Liu,et al.  Multiple‐attribute group decision‐making based on power Bonferroni operators of linguistic q‐rung orthopair fuzzy numbers , 2018, Int. J. Intell. Syst..

[16]  Le Hoang Son,et al.  HIFCF: An effective hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis , 2015, Expert Syst. Appl..

[17]  G. Wei,et al.  Some Interval-Valued Intuitionistic Fuzzy Dombi Hamy Mean Operators and Their Application for Evaluating the Elderly Tourism Service Quality in Tourism Destination , 2018, Mathematics.

[18]  Guiwu Wei,et al.  Dual hesitant pythagorean fuzzy Hamacher aggregation operators in multiple attribute decision making , 2017 .

[19]  Jie Wang,et al.  Some q‐rung orthopair fuzzy maclaurin symmetric mean operators and their applications to potential evaluation of emerging technology commercialization , 2018, Int. J. Intell. Syst..

[20]  Jie Wang,et al.  Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk , 2018, Symmetry.

[21]  Guiwu Wei,et al.  Multiple Attribute Decision-Making with Dual Hesitant Pythagorean Fuzzy Information , 2018, Cognitive Computation.

[22]  Guiwu Wei,et al.  Some Cosine Similarity Measures for Picture Fuzzy Sets and Their Applications to Strategic Decision Making , 2017, Informatica.

[23]  Peide Liu,et al.  Some Hamacher Aggregation Operators Based on the Interval-Valued Intuitionistic Fuzzy Numbers and Their Application to Group Decision Making , 2014, IEEE Transactions on Fuzzy Systems.

[24]  Guiwu Wei,et al.  Picture fuzzy cross-entropy for multiple attribute decision making problems , 2016 .

[25]  Jurgita Antucheviciene,et al.  A Novel Rough WASPAS Approach for Supplier Selection in a Company Manufacturing PVC Carpentry Products , 2018, Inf..

[26]  Cun Wei,et al.  VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment , 2019, J. Intell. Fuzzy Syst..

[27]  Rui Wang,et al.  Research on the application of the financial investment risk appraisal models with some interval number muirhead mean operators , 2019, Journal of Intelligent & Fuzzy Systems.

[28]  Wei Yang,et al.  New q‐rung orthopair fuzzy partitioned Bonferroni mean operators and their application in multiple attribute decision making , 2018, Int. J. Intell. Syst..

[29]  Jun Ye,et al.  Projection and bidirectional projection measures of single-valued neutrosophic sets and their decision-making method for mechanical design schemes , 2017, J. Exp. Theor. Artif. Intell..

[30]  K. Atanassov.  Operators over interval valued intuitionistic fuzzy sets , 1994 .

[31]  Peide Liu,et al.  Some Intuitionistic Fuzzy Prioritized Interactive Einstein Choquet Operators and Their Application in Decision Making , 2018, IEEE Access.

[32]  Cun Wei,et al.  TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information , 2019, J. Intell. Fuzzy Syst..

[33]  Edmundas Kazimieras Zavadskas,et al.  The Selection of Wagons for the Internal Transport of a Logistics Company: A Novel Approach Based on Rough BWM and Rough SAW Methods , 2017, Symmetry.

[34]  Hui Gao,et al.  Methods for Multiple Attribute Group Decision Making Based on Intuitionistic Fuzzy Dombi Hamy Mean Operators , 2018, Symmetry.

[35]  Hui Gao,et al.  Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators , 2019, J. Intell. Fuzzy Syst..

[36]  Guiwu Wei,et al.  TOPSIS Method for Probabilistic Linguistic MAGDM with Entropy Weight and Its Application to Supplier Selection of New Agricultural Machinery Products , 2019, Entropy.

[37]  Bui Cong Cuong,et al.  An Involutive Picture Fuzzy Negator on Picture Fuzzy Sets and Some De Morgan Triples , 2015, 2015 Seventh International Conference on Knowledge and Systems Engineering (KSE).

[38]  Guiwu Wei,et al.  TODIM Method for Picture Fuzzy Multiple Attribute Decision Making , 2018, Informatica.

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

[40]  Pushpinder Singh,et al.  Correlation coefficients for picture fuzzy sets , 2015, J. Intell. Fuzzy Syst..

[41]  Jun Ye,et al.  Bidirectional projection method for multiple attribute group decision making with neutrosophic numbers , 2015, Neural Computing and Applications.

[42]  Peide Liu,et al.  Approach to Multi-Attributes Decision Making With Intuitionistic Linguistic Information Based on Dempster-Shafer Evidence Theory , 2018, IEEE Access.

[43]  Hui Gao,et al.  TODIM method for multiple attribute decision making with 2-tuple linguistic pythagorean fuzzy information , 2019, J. Intell. Fuzzy Syst..

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

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

[46]  Peng Wang,et al.  Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making , 2018, Int. J. Intell. Syst..

[47]  Hui Gao,et al.  Evaluation Based on Distance from Average Solution Method for Multiple Criteria Group Decision Making under Picture 2-Tuple Linguistic Environment , 2019, Mathematics.

[48]  Lin Li,et al.  Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project , 2018, Appl. Soft Comput..

[49]  Vladik Kreinovich,et al.  Picture fuzzy sets - A new concept for computational intelligence problems , 2013, 2013 Third World Congress on Information and Communication Technologies (WICT 2013).

[50]  Runtong Zhang,et al.  Some Picture Fuzzy Dombi Heronian Mean Operators with Their Application to Multi-Attribute Decision-Making , 2018, Symmetry.

[51]  Mao Lu,et al.  Some novel similarity and distance measures of pythagorean fuzzy sets and their applications , 2019, Journal of Intelligent & Fuzzy Systems.

[52]  Hui Gao,et al.  Approaches to strategic supplier selection under interval neutrosophic environment , 2019, J. Intell. Fuzzy Syst..

[53]  Peide Liu,et al.  Some q‐Rung Orthopai Fuzzy Bonferroni Mean Operators and Their Application to Multi‐Attribute Group Decision Making , 2018, Int. J. Intell. Syst..

[54]  Le Hoang Son,et al.  A novel automatic picture fuzzy clustering method based on particle swarm optimization and picture composite cardinality , 2016, Knowl. Based Syst..

[55]  Guiwu Wei,et al.  MADM Method With Interval-Valued Bipolar Uncertain Linguistic Information for Evaluating the Computer Network Security , 2019, IEEE Access.

[56]  Hui Gao,et al.  Models for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Muirhead Mean Operators and Their Application to Green Suppliers Selection , 2019, Informatica.

[57]  Le Hoang Son,et al.  Some novel hybrid forecast methods based on picture fuzzy clustering for weather nowcasting from satellite image sequences , 2016, Applied Intelligence.

[58]  Guiwu Wei,et al.  Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making , 2019, J. Ambient Intell. Humaniz. Comput..

[59]  Guiwu Wei,et al.  Oil price fluctuation, stock market and macroeconomic fundamentals: Evidence from China before and after the financial crisis , 2019, Finance Research Letters.

[60]  Le Hoang Son.  DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets , 2015, Expert Syst. Appl..

[61]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[62]  Harish Garg,et al.  Interval-Valued Pythagorean Fuzzy Maclaurin Symmetric Mean Operators in Multiple Attribute Decision Making , 2018, IEEE Access.

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

[64]  Ivan Petrovic,et al.  Modification of the Best-Worst and MABAC methods: A novel approach based on interval-valued fuzzy-rough numbers , 2018, Expert Syst. Appl..

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

[66]  Hui Gao,et al.  Pythagorean fuzzy Hamacher Prioritized aggregation operators in multiple attribute decision making , 2018, J. Intell. Fuzzy Syst..