Multi-criteria decision making approach based on SVTrN Dombi aggregation functions

The neutrosophic set is constructed for modelling of situations specifically with incomplete, indeterminate and inconsistent information. In the study, Dombi operations have been introduced on two single-valued trapezoidal neutrosophic numbers (SVTrNNs). Here, Dombi operation on SVTrNNs, some new averaging and geometric averaging operators namely SVTrN Domi weighted averaging (SVTrNDWA) operator, SVTrN Dombi ordered weighted averaging (SVTrNDOWA) operator, SVTrN Dombi hybrid weighted averaging (SVTrNDHWA) operator, SVTrN Dombi weighted geometric (SVTrNDWGA) operator, SVTrN Dombi ordered weighted geometric (SVTrNDOWGA) operator and SVTrN Dombi hybrid weighted geometric (SVTrNDHWGA) operator have been proposed. Further, some properties of these operators such as idempotency, boundedness, monotonicity and commutativity have been investigated. Next, we have constructed a multi-criteria decision-making (MCDM) method in SVTrN environment based on SVTrNDWA and SVTrNDWGA operators. We have given an application of the present MCDM method for selecting the best contractor for a road construction company. We have also compared the current approach with the existing procedure and have given the sensitivity analysis of the proposed plan.

[1]  Zeshui Xu.  Intuitionistic Fuzzy Multiattribute Decision Making: An Interactive Method , 2012, IEEE Transactions on Fuzzy Systems.

[2]  Hong-yu Zhang,et al.  Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems , 2016, Int. J. Syst. Sci..

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

[4]  Chunfang Liu,et al.  Correlated aggregation operators for simplified neutrosophic set and their application in multi-attribute group decision making , 2015, J. Intell. Fuzzy Syst..

[5]  Madhumangal Pal,et al.  A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making , 2019, Symmetry.

[6]  Shruti Kohli,et al.  An MCDM approach towards handling outliers in web data: a case study using OWA operators , 2015, Artificial Intelligence Review.

[7]  Jun Ye.  Some weighted aggregation operators of trapezoidal neutrosophic numbers and their multiple attribute decision making method , 2017 .

[8]  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..

[9]  L. Chou,et al.  An empirical analysis of land property lawsuits and rainfalls , 2016, SpringerPlus.

[10]  Madhumangal Pal,et al.  Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process , 2018, J. Ambient Intell. Humaniz. Comput..

[11]  Jun Ye,et al.  Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment , 2013, Int. J. Gen. Syst..

[12]  Madhumangal Pal,et al.  Trapezoidal neutrosophic aggregation operators and its application in multiple attribute decision making process , 2018, Scientia Iranica.

[13]  Tabasam Rashid,et al.  Group Decision Making Using Intuitionistic Hesitant Fuzzy Sets , 2014, Int. J. Fuzzy Log. Intell. Syst..

[14]  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..

[15]  Harish Garg,et al.  Novel Single-Valued Neutrosophic Aggregated Operators Under Frank Norm Operation and Its Application to Decision-Making Process , 2017 .

[16]  Yusuf Subas,et al.  Some weighted geometric operators with SVTrN-numbers and their application to multi-criteria decision making problems , 2015, J. Intell. Fuzzy Syst..

[17]  Jun Ye,et al.  Single-Valued Neutrosophic Hybrid Arithmetic and Geometric Aggregation Operators and Their Decision-Making Method , 2017, Inf..

[18]  Zeshui Xu,et al.  Some geometric aggregation operators based on intuitionistic fuzzy sets , 2006, Int. J. Gen. Syst..

[19]  Surapati Pramanik,et al.  NH-MADM Strategy in Neutrosophic Hesitant Fuzzy Set Environment Based on Extended GRA , 2019, Informatica.

[20]  Hong-yu Zhang,et al.  New operators on triangular intuitionistic fuzzy numbers and their applications in system fault analysis , 2013, Inf. Sci..

[21]  Chris Cornelis,et al.  On the representation of intuitionistic fuzzy t-norms and t-conorms , 2004, IEEE Transactions on Fuzzy Systems.

[22]  Zhiming Zhang,et al.  Interval-valued intuitionistic fuzzy Frank aggregation operators and their applications to multiple attribute group decision making , 2017, Neural Computing and Applications.

[23]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[24]  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..

[25]  Xiaorong He,et al.  Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators , 2018, Natural Hazards.

[26]  Hong-yu Zhang,et al.  Multi-criteria decision-making approaches based on distance measures for linguistic hesitant fuzzy sets , 2016, J. Oper. Res. Soc..

[27]  Weize Wang,et al.  Intuitionistic fuzzy geometric aggregation operators based on einstein operations , 2011, Int. J. Intell. Syst..

[28]  Surapati Pramanik,et al.  TODIM strategy for multi-attribute group decision making in trapezoidal neutrosophic number environment , 2019, Complex & Intelligent Systems.

[29]  Madhumangal Pal,et al.  Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making , 2019, Soft Computing.

[30]  Guiwu Wei,et al.  Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making , 2013, Knowl. Based Syst..

[31]  Peide Liu,et al.  The Aggregation Operators Based on Archimedean t-Conorm and t-Norm for Single-Valued Neutrosophic Numbers and their Application to Decision Making , 2016, International Journal of Fuzzy Systems.

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

[33]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[34]  Francisco Herrera,et al.  Evolutionary fuzzy k-nearest neighbors algorithm using interval-valued fuzzy sets , 2016, Inf. Sci..

[35]  Peide Liu,et al.  Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean , 2014, Neural Computing and Applications.

[36]  Wu Deng,et al.  A Novel Fault Diagnosis Method Based on Integrating Empirical Wavelet Transform and Fuzzy Entropy for Motor Bearing , 2018, IEEE Access.

[37]  Rui Yao,et al.  A novel intelligent diagnosis method using optimal LS-SVM with improved PSO algorithm , 2017, Soft Computing.

[38]  Harish Garg,et al.  A novel exponential distance and its based TOPSIS method for interval-valued intuitionistic fuzzy sets using connection number of SPA theory , 2018, Artificial Intelligence Review.

[39]  Mohammad Anisseh,et al.  Fuzzy extension of TOPSIS model for group decision making under multiple criteria , 2011, Artificial Intelligence Review.

[40]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[41]  S. Wan.  Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making , 2013 .

[42]  Jun Ye,et al.  Trapezoidal neutrosophic set and its application to multiple attribute decision-making , 2014, Neural Computing and Applications.

[43]  Madhumangal Pal,et al.  Picture fuzzy Dombi aggregation operators: Application to MADM process , 2019, Appl. Soft Comput..

[44]  Jian Li,et al.  Multi-criteria Outranking Methods with Hesitant Probabilistic Fuzzy Sets , 2017, Cognitive Computation.

[45]  J. Dombi.  A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators , 1982 .

[46]  Jun Ye,et al.  Bonferroni Mean Operators of Linguistic Neutrosophic Numbers and Their Multiple Attribute Group Decision-Making Methods , 2017, Inf..

[47]  Yong Shi.  Editor's Introduction , 2002, Int. J. Inf. Technol. Decis. Mak..

[48]  Madhumangal Pal,et al.  Pythagorean fuzzy Dombi aggregation operators and its applications in multiple attribute decision‐making , 2019, Int. J. Intell. Syst..