Some q‐rung interval‐valued orthopair fuzzy Maclaurin symmetric mean operators and their applications to multiple attribute group decision making

In this paper, according to the Maclaurin symmetric mean (MSM) operator, the dual MSM (DMSM) operator and the q‐rung interval‐valued orthopair fuzzy set (q‐RIVOFS), we develop some novel MSM operators under the q‐rung interval‐valued orthopair fuzzy environment, such as, the q‐rung interval‐valued orthopair fuzzy MSM operator, the q‐rung interval‐valued orthopair fuzzy weighted MSM (q‐RIVOFWMSM) operator, the q‐rung interval‐valued orthopair fuzzy DMSM operator, and the q‐rung interval‐valued orthopair fuzzy weighted DMSM operator. In addition, some precious properties and numerical examples of these new operators are given in detail. These new operators have the advantages of considering the interrelationship of arguments and can deal with multiple attribute group decision‐making problems with q‐rung interval‐valued orthopair fuzzy information. Finally, a reality example for green suppliers selection in green supply chain management is provided to demonstrate the proposed approach and to verify its rationality and scientific.

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

[2]  Lin Li,et al.  Multi-criteria decision-making method based on single-valued neutrosophic linguistic Maclaurin symmetric mean operators , 2016, Neural Computing and Applications.

[3]  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..

[4]  Guiwu Wei,et al.  TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment , 2018, Symmetry.

[5]  Sanjin Milinković,et al.  Evaluation of the railway management model by using a new integrated model DELPHI-SWARA-MABAC , 2018, Decision Making: Applications in Management and Engineering.

[6]  Ronald R. Yager,et al.  Pythagorean Membership Grades, Complex Numbers, and Decision Making , 2013, Int. J. Intell. Syst..

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

[8]  Hong-yu Zhang,et al.  Hesitant Fuzzy Linguistic Maclaurin Symmetric Mean Operators and their Applications to Multi‐Criteria Decision‐Making Problem , 2018, Int. J. Intell. Syst..

[9]  Jindong Qin,et al.  Approaches to uncertain linguistic multiple attribute decision making based on dual Maclaurin symmetric mean , 2015, J. Intell. Fuzzy Syst..

[10]  Duško Tešić,et al.  A HYBRID FUZZY AHP-MABAC MODEL: APPLICATION IN THE SERBIAN ARMY – THE SELECTION OF THE LOCATION FOR DEEP WADING AS A TECHNIQUE OF CROSSING THE RIVER BY TANKS , 2018 .

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

[12]  Guiwu Wei,et al.  Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators , 2018, Mathematics.

[13]  Guofang Zhang,et al.  Some Normal Intuitionistic Fuzzy Heronian Mean Operators Using Hamacher Operation and Their Application , 2018, Symmetry.

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

[15]  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.

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

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

[18]  Chin-Tsai Lin,et al.  Using the Fuzzy TODIM Method as a Decision Making Support Methodology for House Purchasing , 2016 .

[19]  Kun Yu,et al.  Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making , 2018, Symmetry.

[20]  Peng Wang,et al.  Multiple-Attribute Decision-Making Based on Archimedean Bonferroni Operators of q-Rung Orthopair Fuzzy Numbers , 2019, IEEE Transactions on Fuzzy Systems.

[21]  Runtong Zhang,et al.  Some Partitioned Maclaurin Symmetric Mean Based on q-Rung Orthopair Fuzzy Information for Dealing with Multi-Attribute Group Decision Making , 2018, Symmetry.

[22]  Luís Alberto Duncan Rangel,et al.  An application of the TODIM method to the multicriteria rental evaluation of residential properties , 2009, Eur. J. Oper. Res..

[23]  Muhammad Akram,et al.  q-Rung Orthopair Fuzzy Competition Graphs with Application in the Soil Ecosystem , 2019, Mathematics.

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

[25]  Guiwu Wei,et al.  Approaches to Multiple Attribute Decision Making with Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Information , 2018, Mathematics.

[26]  Saurav Datta,et al.  Application of TODIM (Tomada de Decisión Inerativa Multicritero) for industrial robot selection , 2016 .

[27]  Yunhua Zhang,et al.  A novel induced aggregation method for intuitionistic fuzzy set and its application in multiple attribute group decision making , 2018, Int. J. Intell. Syst..

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

[29]  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..

[30]  Guiwu Wei,et al.  Pythagorean Fuzzy Hamy Mean Operators in Multiple Attribute Group Decision Making and Their Application to Supplier Selection , 2018, Symmetry.

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

[32]  Peide Liu,et al.  Multiple Attribute Decision-Making Methods with Unbalanced Linguistic Variables Based on Maclaurin Symmetric Mean Operators , 2018, Int. J. Inf. Technol. Decis. Mak..

[33]  Cun Wei,et al.  Models for MADM with Single-Valued Neutrosophic 2-Tuple Linguistic Muirhead Mean Operators , 2019, Mathematics.

[34]  Song Wang,et al.  Multiple attribute group decision making based on q‐rung orthopair fuzzy Heronian mean operators , 2018, Int. J. Intell. Syst..

[35]  Jie Wang,et al.  Methods for Multiple-Attribute Group Decision Making with q-Rung Interval-Valued Orthopair Fuzzy Information and Their Applications to the Selection of Green Suppliers , 2019, Symmetry.

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

[37]  Shouzhen Zeng,et al.  Pythagorean Fuzzy Multiattribute Group Decision Making with Probabilistic Information and OWA Approach , 2017, Int. J. Intell. Syst..

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

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

[40]  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.

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

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

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

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

[45]  Jun-Yuan Kuo,et al.  The study on the evaluation of the pollution control situation of the sewage systems in the counties and cities of Taiwan by applying the VIKOR method , 2017, Environmental Science and Pollution Research.

[46]  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..

[47]  Harish Garg,et al.  Exponential operation and aggregation operator for q‐rung orthopair fuzzy set and their decision‐making method with a new score function , 2018, Int. J. Intell. Syst..

[48]  Jindong Qin,et al.  Generalized Pythagorean Fuzzy Maclaurin Symmetric Means and Its Application to Multiple Attribute SIR Group Decision Model , 2017, International Journal of Fuzzy Systems.

[49]  Amit Kumar,et al.  Ambika Methods for Solving Matrix Games With Atanassov's Intuitionistic Fuzzy Payoffs , 2018, IEEE Transactions on Fuzzy Systems.

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

[51]  Ji Chen,et al.  An OWA Distance-Based, Single-Valued Neutrosophic Linguistic TOPSIS Approach for Green Supplier Evaluation and Selection in Low-Carbon Supply Chains , 2018, International journal of environmental research and public health.

[52]  Jun Wang,et al.  Some q-Rung Dual Hesitant Fuzzy Heronian Mean Operators with Their Application to Multiple Attribute Group Decision-Making , 2018, Symmetry.

[53]  Ting-Yu Chen,et al.  An outranking approach using a risk attitudinal assignment model involving Pythagorean fuzzy information and its application to financial decision making , 2018, Appl. Soft Comput..

[54]  Peide Liu,et al.  Some Maclaurin Symmetric Mean Operators Based on Neutrosophic Linguistic Numbers for Multi-Attribute Group Decision Making , 2018, Informatica.

[55]  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..

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

[57]  Guiwu Wei,et al.  Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision-making with incomplete weight information , 2009, Knowledge and Information Systems.

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

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

[60]  Peide Liu,et al.  Some power Maclaurin symmetric mean aggregation operators based on Pythagorean fuzzy linguistic numbers and their application to group decision making , 2018, Int. J. Intell. Syst..

[61]  Ronald R. Yager,et al.  Generalized Orthopair Fuzzy Sets , 2017, IEEE Transactions on Fuzzy Systems.

[62]  Xiaohong Chen,et al.  A Hesitant Fuzzy Linguistic Projection-Based MABAC Method for Patients’ Prioritization , 2017, International Journal of Fuzzy Systems.

[63]  Hui Gao,et al.  Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information , 2018, Mathematics.

[64]  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..

[65]  Jing Liu,et al.  Which determinant is the most informative in forecasting crude oil market volatility: Fundamental, speculation, or uncertainty? , 2017 .

[66]  Runtong Zhang,et al.  Some q-rung orthopair fuzzy point weighted aggregation operators for multi-attribute decision making , 2019, Soft Comput..

[67]  Harish Garg,et al.  Hesitant Pythagorean fuzzy Maclaurin symmetric mean operators and its applications to multiattribute decision‐making process , 2018, Int. J. Intell. Syst..

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

[69]  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.

[70]  Peide Liu,et al.  Multiple attribute decision‐making method for dealing with heterogeneous relationship among attributes and unknown attribute weight information under q‐rung orthopair fuzzy environment , 2018, Int. J. Intell. Syst..

[71]  Jian-qiang Wang,et al.  An Interval Type-2 Fuzzy Likelihood-Based MABAC Approach and Its Application in Selecting Hotels on a Tourism Website , 2017, Int. J. Fuzzy Syst..

[72]  Siba Sankar Mahapatra,et al.  A TODIM-Based Decision Support Framework for G-Resilient Supplier Selection in Fuzzy Environment , 2016, Asia Pac. J. Oper. Res..

[73]  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..

[74]  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.

[75]  Kim Hua Tan,et al.  Using TODIM to evaluate green supply chain practices under uncertainty , 2014 .

[76]  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.

[77]  Eda Boltürk,et al.  Pythagorean fuzzy CODAS and its application to supplier selection in a manufacturing firm , 2018, J. Enterp. Inf. Manag..

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

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

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

[81]  Guiwu Wei,et al.  An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers , 2018, Symmetry.

[82]  Peide Liu,et al.  Some Maclaurin symmetric mean aggregation operators based on Schweizer-Sklar operations for intuitionistic fuzzy numbers and their application to decision making , 2019, J. Intell. Fuzzy Syst..

[83]  Jie Wang,et al.  Models for Safety Assessment of Construction Project With Some 2-Tuple Linguistic Pythagorean Fuzzy Bonferroni Mean Operators , 2018, IEEE Access.

[84]  Wei Yang,et al.  New Pythagorean Fuzzy Interaction Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making , 2018, IEEE Access.

[85]  Shyi-Ming Chen,et al.  Multiattribute decision making based on nonlinear programming methodology, particle swarm optimization techniques and interval-valued intuitionistic fuzzy values , 2019, Inf. Sci..

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

[87]  Muhammad Irfan Ali,et al.  Another view on q‐rung orthopair fuzzy sets , 2018, Int. J. Intell. Syst..