TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment

In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems. Firstly, we briefly introduce the definition, operational laws, some aggregation operators and the distance calculating method of 2TLNNs. Then, the calculation steps of the original TODIM model are presented in simplified form. Thereafter, we extend the original TODIM model to the 2TLNNs environment to build the 2TLNNs TODIM model, our proposed method, which is more reasonable and scientific in considering the subjectivity of DM’s behaviors and the dominance of each alternative over others. Finally, a numerical example for the safety assessment of a construction project is proposed to illustrate the new method, and some comparisons are also conducted to further illustrate the advantages of the new method.

[1]  Yanqing Zhang,et al.  Interval Neutrosophic Sets and Logic: Theory and Applications in Computing , 2005, ArXiv.

[2]  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..

[3]  Guiwu Wei,et al.  Grey relational analysis model for dynamic hybrid multiple attribute decision making , 2011, Knowl. Based Syst..

[4]  Emre Cevikcan,et al.  Fuzzy VIKOR and Fuzzy Axiomatic Design Versus to Fuzzy Topsis: An Application of Candidate Assessment , 2009, J. Multiple Valued Log. Soft Comput..

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

[6]  Jianping Chen,et al.  A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making , 2016, Int. J. Inf. Technol. Decis. Mak..

[7]  Alvydas Balezentis,et al.  Personnel selection based on computing with words and fuzzy MULTIMOORA , 2012, Expert Syst. Appl..

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

[9]  Keith W. Hipel,et al.  Strategic advice for decision-making under conflict based on observed behaviour , 2018, Appl. Math. Comput..

[10]  Jie Wang,et al.  Models for Multiple Attribute Decision-Making with Dual Generalized Single-Valued Neutrosophic Bonferroni Mean Operators , 2018, Algorithms.

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

[12]  Gwo-Hshiung Tzeng,et al.  Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS , 2004, Eur. J. Oper. Res..

[13]  Yu-Han Huang,et al.  VIKOR Method for Interval Neutrosophic Multiple Attribute Group Decision-Making , 2017, Inf..

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

[15]  Hong-yu Zhang,et al.  A likelihood-based TODIM approach based on multi-hesitant fuzzy linguistic information for evaluation in logistics outsourcing , 2016, Comput. Ind. Eng..

[16]  Gui-Wu Wei,et al.  Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making , 2011, Expert Syst. Appl..

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

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

[19]  Florentin Smarandache,et al.  A unifying field in logics : neutrosophic logic : neutrosophy, neutrosophic set, neutrosophic probability , 2020 .

[20]  Iuliana Carmen Barbacioru.  GREY RELATIONAL ANALYSIS METHOD FOR INTUITIONISTIC FUZZY MULTIPLE ATTRIBUTE DECISION MAKING , 2014 .

[21]  Chen-Tung Chen,et al.  A fuzzy approach for supplier evaluation and selection in supply chain management , 2006 .

[22]  Jana Krejcí,et al.  Pairwise Comparison Matrices and their Fuzzy Extension - Multi-criteria Decision Making with a New Fuzzy Approach , 2018, Studies in Fuzziness and Soft Computing.

[23]  Peide Liu,et al.  An extended TODIM method for multiple attribute group decision-making based on 2-dimension uncertain linguistic Variable , 2016, Complex..

[24]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[25]  Renato A. Krohling,et al.  IF-TODIM: An intuitionistic fuzzy TODIM to multi-criteria decision making , 2013, Knowl. Based Syst..

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

[27]  Jia Liu,et al.  Extension of the TODIM Method to Intuitionistic Linguistic Multiple Attribute Decision Making , 2017, Symmetry.

[28]  Gui-Wu Wei,et al.  TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making , 2017, Inf..

[29]  Xinwang Liu,et al.  An interval type-2 fuzzy sets-based TODIM method and its application to green supplier selection , 2016, J. Oper. Res. Soc..

[30]  Xiao Zhang,et al.  Extended TODIM method for hybrid multiple attribute decision making problems , 2013, Knowl. Based Syst..

[31]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making — An Overview , 1992 .

[32]  Rodolfo Lourenzutti,et al.  A study of TODIM in a intuitionistic fuzzy and random environment , 2013, Expert Syst. Appl..

[33]  Jun Ye,et al.  Multiple Attribute Decision-Making Methods Based on the Expected Value and the Similarity Measure of Hesitant Neutrosophic Linguistic Numbers , 2017, Cognitive Computation.

[34]  Shouzhen Zeng,et al.  Group multi-criteria decision making based upon interval-valued fuzzy numbers: An extension of the MULTIMOORA method , 2013, Expert Syst. Appl..

[35]  A. M. M. Sharif Ullah,et al.  Big data driven graphical information based fuzzy multi criteria decision making , 2018, Appl. Soft Comput..

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

[37]  Xiaohong Chen,et al.  A Novel TODIM Method-Based Three-Way Decision Model for Medical Treatment Selection , 2018, Int. J. Fuzzy Syst..

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

[39]  Ying Li,et al.  Probabilistic Interval-Valued Hesitant Fuzzy Information Aggregation Operators and Their Application to Multi-Attribute Decision Making , 2018, Algorithms.

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

[41]  Hong-Ying Zhang,et al.  On inclusion measures of intuitionistic and interval-valued intuitionistic fuzzy values and their applications to group decision making , 2016, Int. J. Mach. Learn. Cybern..

[42]  Muhammad Akram,et al.  Decision-Making Approach Based on Neutrosophic Rough Information , 2018, Algorithms.

[43]  Renato A. Krohling,et al.  Combining prospect theory and fuzzy numbers to multi-criteria decision making , 2012, Expert Syst. Appl..

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

[45]  Tapan Kumar Roy,et al.  NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment , 2017, Inf..

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

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

[48]  Ronald R. Yager,et al.  Multiple objective decision-making using fuzzy sets , 1977 .

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

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

[52]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[53]  Jun Ye,et al.  Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making , 2018, Algorithms.

[54]  V. Lakshmana Gomathi Nayagam,et al.  Ranking of interval-valued intuitionistic fuzzy sets , 2011, Appl. Soft Comput..

[55]  S. M. Mousavi,et al.  A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem , 2018 .

[56]  Pawel Ziemba,et al.  NEAT F-PROMETHEE - A new fuzzy multiple criteria decision making method based on the adjustment of mapping trapezoidal fuzzy numbers , 2018, Expert Syst. Appl..

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

[58]  Huayou Chen,et al.  Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multi-attribute group decision making , 2018, Comput. Ind. Eng..

[59]  Zhiliang Ren,et al.  A Hesitant Fuzzy Linguistic TODIM Method Based on a Score Function , 2015, Int. J. Comput. Intell. Syst..

[60]  Jaroslaw Jankowski,et al.  Online Comparison System with Certain and Uncertain Criteria Based on Multi-criteria Decision Analysis Method , 2017, ICCCI.

[61]  F. Smarandache.  A Unifying Field in Logics: Neutrosophic Logic. , 1999 .

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

[63]  Peide Liu,et al.  Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making , 2018, PloS one.

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