Multi-attribute group decision making methods with proportional 2-tuple linguistic assessments and weights

References

• A. Albadvi, S.K. Chaharsooghi and A. Esfahanipour, Decision making in stock trading: an application of PROMETHEE, Eur. J. Oper. Res. 177 (2007) 673–683.
   Web of Science ®Google Scholar
• S. Alonso, F.J. Cabrerizo, F. Chiclana, F. Herrera and E. Herrera-Viedma, Group decision-making with incomplete fuzzy linguistic preference relations, Int. J. Intell. Syst. 24(2) (2009) 201–222.
   Web of Science ®Google Scholar
• S. Alonso, F. Chiclana, F. Herrera, E. Herrera-Viedma, J. Alcalá-Fdez and C. Porcel, A consistency-based procedure to estimate missing pairwise preference values, Int. J. Intell. Syst. 23(2) (2008) 155–175.
   Web of Science ®Google Scholar
• M. Behzadian, R.B. Kazemzadeh, A. Albadvim and M. Aghdasi, PROMETHEE: a comprehensive literature review on methodologies and applications, Eur. J. Oper. Res. 200 (2010) 198–215.
   Web of Science ®Google Scholar
• R. Benayoun, B. Roy and N. Sussmann, Manual de reference du programme electre. Note De Synthese et Formation, No. 25, Direction Scientifique SEMA, Paris, France, 1966.
   Google Scholar
• F.J. Cabrerizo, S. Alonso and E. Herrera-Viedma, A consensus model for group decision making problems with unbalanced fuzzy linguistic information, Int. J. Inf. Tech. Decis. Making 8(1) (2009) 109–131.
   Google Scholar
• F.J. Cabrerizo, I.J. Pérez and E. Herrera-Viedma, Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information, Knowl.- Based Syst. 23 (2010) 169–181.
   Web of Science ®Google Scholar
• F. Chiclana, E. Herrera-Viedma, F. Herrera and S. Alonso, Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations, Eur. J. Oper. Res. 182(1) (2007) 383–399.
   Web of Science ®Google Scholar
• R. Degani and G. Bortolan, The problem of linguistic approximation in clinical decision making, Int. J. Approx. Reason 2(2) (1988) 98–162.
   Google Scholar
• M. Delgado, J.L. Verdegay and M.A. Vila, On aggregation operations of linguistic labels, Int. J. Intell. Syst. 8(3) (1993) 351–370.
   Web of Science ®Google Scholar
• Y.C. Dong, W.C. Hong, Y.F. Xu and S. Yu, Selecting the individual numerical scale and prioritization method in the analytic hierarchy process: A 2-tuple fuzzy linguistic approach, IEEE Trans. Fuzzy Syst. 19 (2011) 13–25.
   Web of Science ®Google Scholar
• Y.C. Dong, Y.F. Xu, H.Y. Li and B. Feng, The OWA-based consensus operator under linguistic representation models using position indexes, Eur. J. Oper. Res. 203 (2010) 455–463.
   Web of Science ®Google Scholar
• Y.C. Dong, Y.F. Xu and S. Yu, Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model, IEEE Trans. Fuzzy Syst. 17 (2009) 1366–1378.
   Web of Science ®Google Scholar
• Y.C. Dong, Y.F. Xu and S. Yu, Linguistic multi-person decision making based on the use of multiple preference relations, Fuzzy Sets Syst. 160 (2009) 603–623.
   Web of Science ®Google Scholar
• M. Espinilla, J. Liu and L. Martínez, An extended hierarchical linguistic model for decision-making problems, Comput. Intell. 27(3) (2011) 489–512.
   Web of Science ®Google Scholar
• Z.P. Fan, B. Feng and W.L. Suo, A fuzzy linguistic method for evaluating collaboration satisfaction of NPD team using mutual-evaluation information, Int. J. Prod. Econ. 122(2) (2009) 547–557.
   Web of Science ®Google Scholar
• S. Greco, M. Kadzinski, V. Mousseau, R. Slowinski, ELECTREGKMS: robust ordinal regression for outranking methods, Eur. J. Oper. Res. 214(1) (2011) 118–135.
   Web of Science ®Google Scholar
• C. Hermans, J. Erickson, T. Noordewier, A. Sheldon and M. Kline, Collaborative environmental planning in river management: an application of multi-criteria decision analysis in the White River Watershed in Vermont, J. Environ. Manage. 84 (2007) 534–546.
   PubMed Web of Science ®Google Scholar
• F. Herrera, S. Alonso, F. Chiclana and E. Herrera-Viedma, Computing with words in decision-making: Foundations, trends and prospects, Fuzzy Optim. Decis. Making 8(4) (2009) 337–364.
   Web of Science ®Google Scholar
• F. Herrera and E. Herrera-Viedma, Aggregation operators for linguistic weighted information, IEEE Trans. Syst., Man, Cybern. A, Syst. 27(5) (1997) 646–656.
   Web of Science ®Google Scholar
• F. Herrera and E. Herrera-Viedma, Linguistic decision analysis:Steps for solving decision problems under linguistic information, Fuzzy Sets Syst. 115(1) (2000) 67–82.
   Web of Science ®Google Scholar
• F. Herrera, E. Herrera-Viedma and L. Martínez, A fuzzy linguistic methodology to deal with unbalanced linguistic term sets, IEEE Trans. Fuzzy Syst. 16(2) (2008) 354–370.
   Web of Science ®Google Scholar
• F. Herrera, E. Herrera-Viedma and J.L. Verdegay, Direct approach processes in group decision making using linguistic OWA operators, Fuzzy Sets Syst. 79(2) (1996) 175–190.
   Web of Science ®Google Scholar
• F. Herrera and L. Martínez, A 2-tupie fuzzy linguistic representation model for computing with words, IEEE Trans. Fuzzy Syst. 8(6) (2000) 746–752.
   Web of Science ®Google Scholar
• F. Herrera and L. Martínez, A model based on linguistic 2-tuples for dealing with multi-granularity hierarchical linguistic contexts in multi-expert decision-making, IEEE Trans. Syst. Man Cybern. B, Cybern. 31(2) (2001) 227–234.
   PubMed Web of Science ®Google Scholar
• F. Herrera and L. Martínez, The 2-tuple linguistic computational model advantages of its linguistic description, accuracy and consistency, Int. J. Unc. Fuzz. Knowl.-Based Syst. 9(suppl.) (2001) 33–48.
   Web of Science ®Google Scholar
• E. Herrera-Viedma, F. J. Cabrerizo, I. J. Pérez, M. J. Cobo, S. Alonso and F. Herrera, Applying Linguistic OWA Operators in Consensus Models under Unbalanced Linguistic Information, Studies in Fuzziness and Soft Comp. 265 (2011) 167–186.
   Google Scholar
• E. Herrera-Viedma and A.G. López-Herrera, A model of information retrieval system with unbalanced fuzzy linguistic information, Int. J. Intell. Syst. 22(11) (2007) 1197–1214.
   Web of Science ®Google Scholar
• C.L. Hwang and K.P. Yoon, Multiple attributes decision- making methods and applications, Heidelberg: Springer, 1981.
   Google Scholar
• J. Lawry, An alternative approach to computing with words, Int. J. Uncertain. Fuzz. 11(9) (2001) 3–16.
   Web of Science ®Google Scholar
• J. Lu, J. Ma, G. Zhang, Y. Zhu, X. Zeng and L. Koehl, Theme-based comprehensive evaluation in new product development using fuzzy hierarchical criteria group decision-making method, IEEE Trans. Ind. Electron. 58(6) (2011) 2236–2246.
   Web of Science ®Google Scholar
• L. Martínez, M. Espinilla, J. Liu, L.G. Pérez and P.J. Sánchez, An evaluation model with unbalanced linguistic information applied to olive oil sensory evaluation, J. Multi-Valued Log. S. 15 (2009) 229–251.
   Web of Science ®Google Scholar
• L. Martínez, M. Espinilla and L.G. Pérez, A linguistic multigranular sensory evaluation model for olive oil, Int. J. Comp. Intell. Syst. 1(2) (2008) 148–158.
   Web of Science ®Google Scholar
• L. Martínez and F. Herrera, An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges, Inf. Sci. 207 (2012) 1–18.
   Web of Science ®Google Scholar
• L. Martínez, J. Liu, D. Ruan and J.B. Yang, Dealing with heterogeneous information in engineering evaluation processes, Inf. Sci. 177(7) (2007) 1533–1542.
   Web of Science ®Google Scholar
• L. Martínez, D. Ruan and F. Herrera, Computing with words in decision support systems: An overview on models and applications, Int. J. Comp. Intell. Syst. 3(4) (2010) 382–395.
   Web of Science ®Google Scholar
• S. Massanet, J.V. Riera, J. Torrens and E. Herrera-Viedma, A new linguistic computational model based on discrete fuzzy numbers for computing with words, Inf. Sci. 258 (2014) 277–290.
   Web of Science ®Google Scholar
• M.M. Marzouk, ELECTRE III model for value engineering applications, Automat. Constr. 20 (2011) 596–600.
   Web of Science ®Google Scholar
• J. M. Mendel, Historical reflections and new positions on perceptual computing, Fuzzy Optim. Decis. Making 8(4) (2009) 325–335.
   Web of Science ®Google Scholar
• J.M. Mendel and D. Wu, Perceptual computing: Aiding people in making subjective judgments, New Jersey: IEEE Press and John Wiley, 2010.
   Google Scholar
• D. Meng and Z. Pei, On weighted unbalanced linguistic aggregation operators in group decision making, Inf. Sci. 223 (2013) 31–41.
   Web of Science ®Google Scholar
• R.M. Rodríguez and L. Martínez, An analysis of symbolic linguistic computing models in decision making, Int. J. Gen. Syst. 42(1) (2013) 121–136.
   Web of Science ®Google Scholar
• R.M. Rodríguez, L. Martínez and F. Herrera, Hesitant fuzzy linguistic term setsfor decision making, IEEE Trans. Fuzzy Syst. 20(1) (2012) 109–119.
   Web of Science ®Google Scholar
• J.H. Wang and J.Y. Hao, A new version of 2-tuple fuzzy linguistic representation model for computing with words, IEEE Trans. Fuzzy Syst. 14(3) (2006) 435–445.
   Web of Science ®Google Scholar
• J.H. Wang and J.Y. Hao, An approach to computing with words based on canonical characteristic values of linguistic labels, IEEE Trans. Fuzzy Syst. 15(4) (2007) 593–604.
   Web of Science ®Google Scholar
• J.H. Wang and J.Y. Hao, Fuzzy linguistic PERT, IEEE Trans. Fuzzy Syst. 15(2) (2007) 133–144.
   Web of Science ®Google Scholar
• Z.S. Xu, A method based on linguistic aggregation operators for group decision making with linguistic preference relations, Inf. Sci. 166 (2004) 19–30.
   Web of Science ®Google Scholar
• L.A. Zadeh, The concept of a linguistic variable and its applications to approximate reasoning, Part I, Inf. Sci. 8 (1975) 199–249.
   Web of Science ®Google Scholar
• L.A. Zadeh, Fuzzy logic = computing with words, IEEE Trans. Fuzzy Syst. 4 (1996) 103–111.
   Web of Science ®Google Scholar
• G. Zhang, J. Ma and J. Lu, Emergency management evaluation by a fuzzy multi-criteria group decision support system, Stoch Environ. Res. Risk Assess. 23(4) (2009) 517–527.
   Web of Science ®Google Scholar