Some q‐rung orthopair fuzzy Hamy mean operators in multiple attribute decision‐making and their application to enterprise resource planning systems selection

In this paper, the Hamy mean (HM) operator, weighted HM (WHM), dual HM (DHM) operator, and dual WHM (WDHM) operator under the q‐rung orthopair fuzzy sets (q‐ROFSs) is studied to propose the q‐rung orthopair fuzzy HM (q‐ROFHM) operator, q‐rung orthopair fuzzy WHM (q‐ROFWHM) operator, q‐rung orthopair fuzzy DHM (q‐ROFDHM) operator, and q‐rung orthopair fuzzy weighted DHM (q‐ROFWDHM) operator and some of their desirable properties are investigated in detail. Then, we apply these operators to multiple attribute decision‐making problems. Finally, a practical example for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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

[2]  Jun Ye.  Vector Similarity Measures of Simplified Neutrosophic Sets and Their Application in Multicriteria Decision Making , 2014 .

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

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

[5]  Zhijun Yang,et al.  A new trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted averaging operator and its application for enterprise location , 2018, Int. J. Intell. Syst..

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

[7]  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..

[8]  Dragan Pamucar,et al.  A New Model for Determining Weight Coefficients of Criteria in MCDM Models: Full Consistency Method (FUCOM) , 2018, Symmetry.

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

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

[11]  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.

[12]  Hong Ye.  Assessment of E-learning System in Higher Education Based on Hesitant Fuzzy Information with Incomplete Attribute Weights , 2015, iJET.

[13]  Peide Liu,et al.  Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi-Attribute Decision-Making , 2018, Symmetry.

[14]  Shyi-Ming Chen,et al.  Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making , 2018, J. Oper. Res. Soc..

[15]  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..

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

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

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

[19]  Sin-Ei Takahasi,et al.  A refinement of various mean inequalities , 1998 .

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

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

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

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

[24]  Ronald R. Yager,et al.  The power average operator , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[25]  Pier Luca Lanzi,et al.  A novel intuitionistic fuzzy clustering method for geo-demographic analysis , 2012, Expert Syst. Appl..

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

[27]  Etienne E. Kerre,et al.  Interval-Valued and Intuitionistic Fuzzy Mathematical Morphologies as Special Cases of $\mathbb{L}$-Fuzzy Mathematical Morphology , 2012, Journal of Mathematical Imaging and Vision.

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

[29]  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..

[30]  Olegas Prentkovskis,et al.  Multi Criteria Evaluation Framework for Prioritizing Indian Railway Stations Using Modified Rough AHP-Mabac Method , 2018 .

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

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

[33]  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.

[34]  Zhang-peng Tian,et al.  Pythagorean fuzzy multiple criteria decision analysis based on Shapley fuzzy measures and partitioned normalized weighted Bonferroni mean operator , 2018, Int. J. Intell. Syst..

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

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

[37]  Yejun Xu,et al.  A consensus model for hesitant fuzzy preference relations and its application in water allocation management , 2017, Appl. Soft Comput..

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

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

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

[41]  Liang-Hsuan Chen,et al.  Novel score functions for interval-valued intuitionistic fuzzy values , 2012, 2012 Proceedings of SICE Annual Conference (SICE).

[42]  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.

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

[44]  Valentinas Podvezko,et al.  The Recalculation of the Weights of Criteria in MCDM Methods Using the Bayes Approach , 2018, Symmetry.

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

[46]  K. Atanassov.  More on intuitionistic fuzzy sets , 1989 .

[47]  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.

[48]  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.

[49]  Dragan Pamučar,et al.  GIS-Fuzzy DEMATEL MCDA model for the evaluation of the sites for ecotourism development: A case study of “Dunavski ključ” region, Serbia , 2016 .

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

[51]  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.

[52]  Yuan Li,et al.  A model for selecting an ERP system based on linguistic information processing , 2007, Inf. Syst..

[53]  Muhammad Sajjad Ali Khan,et al.  Approaches to multi-attribute decision making with risk preference under extended Pythagorean fuzzy environment , 2019, J. Intell. Fuzzy Syst..

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

[55]  Jun Ye,et al.  Vector Similarity Measures between Refined Simplified Neutrosophic Sets and Their Multiple Attribute Decision-Making Method , 2017, Symmetry.

[56]  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..

[57]  Zeshui Xu,et al.  Power-Geometric Operators and Their Use in Group Decision Making , 2010, IEEE Transactions on Fuzzy Systems.

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

[59]  José M. Merigó,et al.  Partitioned Heronian means based on linguistic intuitionistic fuzzy numbers for dealing with multi-attribute group decision making , 2018, Appl. Soft Comput..

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

[61]  D. Pamučar,et al.  Application of GIS-Interval Rough AHP Methodology for Flood Hazard Mapping in Urban Areas , 2017 .

[62]  Peng Wang,et al.  Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection , 2018, Int. J. Syst. Sci..

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

[64]  Wenyi Zeng,et al.  Distance and similarity measures of Pythagorean fuzzy sets and their applications to multiple criteria group decision making , 2018, Int. J. Intell. Syst..

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

[66]  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..

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

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

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

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

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

[72]  Shawkat Alkhazaleh,et al.  Time-neutrosophic soft set and its applications , 2015, J. Intell. Fuzzy Syst..

[73]  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.

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

[75]  Jun Dong,et al.  Competition ability evaluation of power generation enterprises using a hybrid MCDM method under fuzzy and hesitant linguistic environment , 2018, Journal of Renewable and Sustainable Energy.

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

[77]  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..

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

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