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A novel multi-attribute group decision-making method based on the MULTIMOORA with linguistic evaluations

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Abstract

Multi-attribute group decision making (MAGDM) has been regarded as one of the most important branches in decision-making analysis. In the practical MAGDM problems, it is necessary to consider the connections among the different decision makers, as well as their trust levels. However, these issues are always neglected in the existing studies. In this paper, a novel method based on the MULTIMOORA (Multi-Objective Optimization by Ratio Analysis plus the Full Multiplicative From) is proposed to solve the MAGDM problems. Firstly, the weights of decision makers are determined based on the connections among different decision makers. Then, the linguistic evaluations are transformed into the form of triangular fuzzy numbers, and the normalized collective evaluations are determined, subsequently. In addition, based on the idea of classical MULTIMOORA method, the ranking result based on the ratio system, the reference point and the full multiplicative form are determined. Furthermore, an optimization model for determining the final ranking result is proposed, which has the minimum deviation with these three ranking results. Finally, an example concerning wastewater treatment is given to illustrate the feasibility and validity of the proposed method. The main contributions of this paper are: (i) the lengths of connections among these decision makers are utilized to determine the weights of different decision makers, (ii) the MULTIMOORA method is extended to solve the MAGDM problem with fuzzy linguistic evaluations and (iii) some desirable properties of the proposed method are discussed.

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References

  • Baležentis T, Zeng S (2013) Group multi-criteria decision making based upon interval-valued fuzzy numbers: an extension of the MULTIMOORA method. Expert Syst Appl 40:543–550

    Article  Google Scholar 

  • Baležentis A, Baležentis T, Brauers WKM (2012) Personnel selection based on computing with words and fuzzy MULTIMOORA. Expert Syst Appl 39(9):7961–7967

    Article  MATH  Google Scholar 

  • Bayram H, Şahin R (2016) A simulation based multi-attribute group decision making technique with decision constraints. Appl Soft Comput 49:629–640

    Article  Google Scholar 

  • Brauers WKM, Zavadskas EK (2006) The MOORA method and its application to privatization in a transition economy. Control Cybern 35(2):445–469

    MathSciNet  MATH  Google Scholar 

  • Brauers WKM, Zavadskas EK (2010) Project management by MULTIMOORA as an instrument for transition economies. Ukio Technologinis Ir Ekonominis Vystymas 16(1):5–24

    Google Scholar 

  • Brauers WKM, Zavadskas EK (2011) MULTIMOORA optimization used to decide on a bank loan to buy property. Technol Econ Dev Eco 17(1):174–188

    Article  Google Scholar 

  • Chu TC (2002) Facility location selection using fuzzy TOPSIS under group decisions. Int J Uncertain Fuzziness Knowl Based Syst 10(06):687–701

    Article  MathSciNet  MATH  Google Scholar 

  • Chu TC, Lin YC (2003) A fuzzy TOPSIS method for robot selection. Int J Adv Manuf Tech 21(4):284–290

    Article  Google Scholar 

  • De SK, Biswas R, Roy AR (2001) An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Set Syst 117(2):209–213

    Article  MATH  Google Scholar 

  • Delgado M, Verdegay JL, Vila MA (1993) On aggregation operations of linguistic labels. Int J Intell Syst 8(3):351–370

    Article  MATH  Google Scholar 

  • Dursun M, Karsak EE, Karadayi MA (2011) A fuzzy multi-criteria group decision making framework for evaluating health-care waste disposal alternatives. Expert Syst Appl 38(9):11453–11462

    Article  Google Scholar 

  • Feng B, Lai F (2014) Multi-attribute group decision making with aspirations: a case study. Omega Int J Manag S 44:136–147

    Article  Google Scholar 

  • Gao GX, Fan ZP, Zhang Y (2015) MADM method considering attribute aspirations with an application to selection of wastewater treatment technologies. Kybernetes 44(5):739–756

    Article  MathSciNet  Google Scholar 

  • Gupta P, Mehlawat MK, Grover N (2016) Intuitionistic fuzzy multi-attribute group decision-making with an application to plant location selection based on a new extended VIKOR method. Inf Sci 370–371:184–203

    Article  Google Scholar 

  • Jiang YP, Fan ZP, Ma J (2008) A method for group decision making with multi-granularity linguistic assessment information. Inf Sci 178:1098–1109

    Article  MATH  Google Scholar 

  • Li DF, Wan SP (2014) A fuzzy inhomogenous Multi-attribute group decision making approach to solve outsourcing provider selection problems. Knowl Based Syst 67:71–89

    Article  Google Scholar 

  • Liu S, Chan FTS, Ran W (2013) Multi-attribute group decision-making with multi-granularity linguistic assessment information: an improved approach based on deviation and TOPSIS. Appl Math Model 37(24):10129–10140

    Article  MathSciNet  Google Scholar 

  • Liu Y, Fan ZP, Zhang X (2016) A method for large group decision-making based on evaluation information provided by participators from multiple groups. Inf Fus 29:132–141

    Article  Google Scholar 

  • Molinos-Senante M, Gómez T, Caballero R, Hernández-Sancho F, Sala-Garrido R (2015) Assessment of wastewater treatment alternatives for small communities: an analytic network process approach. Sci Total Environ 532:676–687

    Article  Google Scholar 

  • Pang Q, Wang H, Xu Z (2016) Probabilistic linguistic term sets in multi-attribute group decision making. Inf Sci 369:128–143

    Article  Google Scholar 

  • Wan SP, Wang F, Dong JY (2016a) A preference degree for intuitionistic fuzzy values and application to multi-attribute group decision making. Inf Sci 370–371:127–146

    Article  Google Scholar 

  • Wan SP, Wang F, Lin LL, Dong JY (2016b) Some new generalized aggregation operators for triangular intuitionistic fuzzy numbers and application to multi-attribute group decision making. Comput Ind Eng 93:286–301

    Article  Google Scholar 

  • Wan SP, Xu J, Dong JY (2016c) Aggregating decision information into interval-valued intuitionistic fuzzy numbers for heterogeneous multi-attribute group decision making. Knowl Based Syst 113:155–170

    Article  Google Scholar 

  • Wu Z, Xu J (2012) A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures. Fuzzy Set Syst 206:58–73

    Article  MathSciNet  MATH  Google Scholar 

  • Xu J, Wu Z, Zhang Y (2014) A Consensus based method for multi-criteria group decision making under uncertain linguistic setting. Group Decis Negot 23(1):127–148

    Article  Google Scholar 

  • Xu X, Zhang W, Li N, Xu H (2015) A bi-level programming model of resource matching for collaborative logistics network in supply uncertainty environment. J Frankl Inst 352(9):3873–3884

    Article  MathSciNet  Google Scholar 

  • Xu XF, Hao J, Deng YR, Wang Y (2017) Design optimization of resource combination for collaborative logistics network under uncertainty. Appl Soft Comput 56:684–691

    Article  Google Scholar 

  • Yan HB, Ma T, Huynh VN (2016) On qualitative multi-attribute group decision making and its consensus measure: a probability based perspective. Omega Int J Manag S 70:94–117

    Article  Google Scholar 

  • Zhu H, Zhao J, Xu Y (2016) 2-dimension linguistic computational model with 2-tuples for multi-attribute group decision making. Knowl Based Syst 103:132–142

    Article  Google Scholar 

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China under Grants 71473188, 71601133, the Natural Science Basic Research Plan in Shaanxi Province of China under Grant 2017JM7001, and the Fundamental Research Funds for the Central Universities under Grants JB170606 and XJS17004.

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Authors and Affiliations

  1. School of Economics and Management, Xidian University, Xi’an, 710071, China

    Xi Chen, Liu Zhao & Haiming Liang

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  1. Xi Chen
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  2. Liu Zhao
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  3. Haiming Liang
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Correspondence to Haiming Liang.

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Communicated by X. Li.

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Chen, X., Zhao, L. & Liang, H. A novel multi-attribute group decision-making method based on the MULTIMOORA with linguistic evaluations. Soft Comput 22, 5347–5361 (2018). https://doi.org/10.1007/s00500-018-3030-3

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  • DOI: https://doi.org/10.1007/s00500-018-3030-3

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