Triangular cubic linguistic uncertain fuzzy topsis method and application to group decision making

In this paper, we define the idea of cubic linguistic uncertain fuzzy numbers. We define the idea of triangular cubic linguistic uncertain fuzzy number. We discuss some basic operational laws of triangular cubic linguistic uncertain fuzzy number and hamming distance of TCLUFNs. We introduce the new concept of triangular cubic linguistic uncertain fuzzy TOPSIS method. Furthermore, we extend the classical triangular cubic linguistic uncertain fuzzy TOPSIS method to solve the MCDM method based on triangular cubic linguistic uncertain fuzzy TOPSIS method. The new ranking method for TCLUFNs is used to rank the alternatives. Finally, an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.

[1]  F. Chan,et al.  Global supplier development considering risk factors using fuzzy extended AHP-based approach , 2007 .

[2]  Peide Liu,et al.  Power average operators of linguistic intuitionistic fuzzy numbers and their application to multiple-attribute decision making , 2017, J. Intell. Fuzzy Syst..

[3]  Saleem Abdullah,et al.  Triangular cubic linguistic hesitant fuzzy aggregation operators and their application in group decision making , 2018, J. Intell. Fuzzy Syst..

[4]  Umut Rifat Tuzkaya,et al.  A fuzzy analytic network process based approach to transportation-mode selection between Turkey and Germany: A case study , 2008, Inf. Sci..

[5]  Peide Liu,et al.  Maclaurin symmetric mean operators of linguistic intuitionistic fuzzy numbers and their application to multiple-attribute decision-making , 2017, J. Exp. Theor. Artif. Intell..

[6]  K. Yoon A Reconciliation Among Discrete Compromise Solutions , 1987 .

[7]  M. H. Alavidoost,et al.  A fuzzy bi-objective MILP approach to integrate sales, production, distribution and procurement planning in a FMCG supply chain , 2019, Soft Comput..

[8]  Francisco Herrera,et al.  Hesitant Fuzzy Linguistic Term Sets for Decision Making , 2012, IEEE Transactions on Fuzzy Systems.

[9]  Kevin F. R. Liu,et al.  Decision-support for environmental impact assessment: A hybrid approach using fuzzy logic and fuzzy analytic network process , 2009, Expert Syst. Appl..

[10]  Vinod Sharma,et al.  An interpretable neuro-fuzzy approach to stock price forecasting , 2017, Soft Computing.

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

[12]  Hong You,et al.  A triangular fuzzy TOPSIS-based approach for the application of water technologies in different emergency water supply scenarios , 2016, Environmental Science and Pollution Research.

[13]  Kyung Sup Kwak,et al.  A case-base fuzzification process: diabetes diagnosis case study , 2018, Soft Comput..

[14]  Xi Liu,et al.  Multiattribute Group Decision Making Methods Based on Linguistic Intuitionistic Fuzzy Power Bonferroni Mean Operators , 2017, Complex..

[15]  Baohua Wang,et al.  Stochastic vendor selection problem: chance-constrained model and genetic algorithms , 2009, Ann. Oper. Res..

[16]  Taho Yang,et al.  Solving a multiresponse simulation-optimization problem with discrete variables using a multiple-attribute decision-making method , 2005, Math. Comput. Simul..

[17]  Selim Zaim,et al.  An application of data envelopment analytic hierarchy process for supplier selection: a case study of BEKO in Turkey , 2007 .

[18]  Francisco Herrera,et al.  Hesitant Fuzzy Linguistic Term Sets , 2011 .

[19]  P. Rao,et al.  Do green supply chains lead to competitiveness and economic performance , 2005 .

[20]  S. Baulkani,et al.  Geometric structure information based multi-objective function to increase fuzzy clustering performance with artificial and real-life data , 2019, Soft Comput..

[21]  Desheng Dash Wu,et al.  Supplier selection: A hybrid model using DEA, decision tree and neural network , 2009, Expert Syst. Appl..

[22]  Hayri Baraçli,et al.  A framework for defining both qualitative and quantitative supplier selection criteria considering the buyer–supplier integration strategies , 2008 .

[23]  Yuping Wang,et al.  An approach based on reliability-based possibility degree of interval for solving general interval bilevel linear programming problem , 2019, Soft Comput..

[24]  Saleem Abdullah,et al.  Cubic fuzzy Einstein aggregation operators and its application to decision-making , 2018, Int. J. Syst. Sci..

[25]  Manoj Kumar,et al.  A fuzzy programming approach for vendor selection problem in a supply chain , 2006 .

[26]  Zeshui Xu,et al.  Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets , 2015, Knowl. Based Syst..

[27]  Alessio Ishizaka,et al.  Analytic network process , 2013 .

[28]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[29]  Saleem Abdullah,et al.  Precursor Selection for Sol–Gel Synthesis of Titanium Carbide Nanopowders by a New Cubic Fuzzy Multi-Attribute Group Decision-Making Model , 2019, J. Intell. Syst..

[30]  Zheng Pei,et al.  An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers , 2015, Int. J. Comput. Intell. Syst..

[31]  Gülçin Büyüközkan,et al.  A novel hybrid MCDM approach based on fuzzy DEMATEL, fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers , 2012, Expert Syst. Appl..

[32]  Wen-Hsien Tsai,et al.  A fuzzy goal programming approach for green supply chain optimisation under activity-based costing and performance evaluation with a value-chain structure , 2009 .

[33]  Hong-yu Zhang,et al.  An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets , 2014, Inf. Sci..

[34]  Peng Wang,et al.  Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making , 2017, Int. J. Inf. Technol. Decis. Mak..

[35]  He-Yau Kang,et al.  A green supplier selection model for high-tech industry , 2009, Expert Syst. Appl..

[36]  V. Torra,et al.  A framework for linguistic logic programming , 2010 .

[37]  Taho Yang,et al.  Multiple-attribute decision making methods for plant layout design problem , 2007 .

[38]  Saleem Abdullah,et al.  Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems , 2017, J. Intell. Fuzzy Syst..

[39]  Peide Liu,et al.  An extended VIKOR method for decision making problem with linguistic intuitionistic fuzzy numbers based on some new operational laws and entropy , 2017, J. Intell. Fuzzy Syst..

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

[41]  Saleem Abdullah,et al.  Dealer using a new trapezoidal cubic hesitant fuzzy TOPSIS method and application to group decision-making program , 2019, Soft Comput..

[42]  Tiedong Ma,et al.  Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control , 2018, Int. J. Syst. Sci..

[43]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.