Skip to main content

Advertisement

Springer Nature Link
Log in

Multi-stage multi-attribute decision-making method based on the prospect theory and triangular fuzzy MULTIMOORA

  • Methodologies and Application
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

This paper proposed a novel multi-stage multi-attribute decision-making method, in which the period weights and attribute weights are completely unknown, and attribute values are triangular fuzzy numbers. At first, the triangular fuzzy prospect decision matrices of different periods are constructed and the period weights optimization model is built according to the time degree and the prospect value deviation of alternatives in different periods. The attribute weights are obtained by the maximum deviation method. Then, MULTIMOORA is extended into the triangular fuzzy environment. Based on the new form of MULTIMOORA and dominance theory, the final ranking of alternatives can be got. Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Aggarwal Manish (2017) Adaptive linguistic weighted aggregation operators for multi-criteria decision making. Appl Soft Comput 58:690–699

    Article  Google Scholar 

  • Aydin Ö (2009) Bulanik AHPile Ankaraiç in hastaneyerseçimi. J Dokuz Eylul Univ Fac Econ Admin Sci 24(2):87–104

    Google Scholar 

  • Balezentis AT, Balezentis WKM (2012) Personnel selection based on computing with words and fuzzy MULTIMOORA. Expert Syst Appl 39:7961–7967

    Article  Google Scholar 

  • 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 

  • Brauers WKM, Baležentis MA (2011) MULTIMOORA for the EU member states updated with fuzzy number theory. Technol Econ Dev Econ 17:259–290

    Article  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  • Brauers WKM, Zavadskas EK (2010) Project management by MULTIMOORA as an instrument for transition economies. Technol Econ Dev Econ 16:5–24

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Brauers WKM, Zavadskas EK (2012) Robustness of MULTIMOORA: a method for multi-objective optimization. Informatica 23:1–25

    Article  MathSciNet  Google Scholar 

  • Cao QW, Wu J (2011) The extended COWG operators and their application to multiple attributive group decision making problems with interval numbers. Appl Math Model 35:2075–2086

    Article  MathSciNet  Google Scholar 

  • Chatterjee P, Chakraborty S (2012) Material selection using preferential ranking methods. Mater Des 35:384–393

    Article  Google Scholar 

  • Chen ZP, Yang W (2011) An MAGDM based on constrained FAHP and FTOPSIS and its application to supplier selection. Math Comput Model 54(11–12):2802–2815

    Article  MathSciNet  Google Scholar 

  • Chu SJ (2011) Interactive group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a supply chain. Eur J Oper Res 213(1):279–289

    Article  Google Scholar 

  • Datta S, Sahu N, Mahapatra S (2013) Robot selection based on grey-approach. Grey Syst 3:201–232

    Article  Google Scholar 

  • Dong M, Li S (2015) Approaches to group decision making with incomplete information based on power geometric operators and triangular fuzzy AHP. Expert Syst Appl 42:7846–7857

    Article  Google Scholar 

  • Hafezalkotob A, Hafezalkotob A (2015) Comprehensive MULTIMOORA method with target-based attributes and integrated significant coefficients for materials selection in biomedical applications. Mater Des 87:949–959

    Article  Google Scholar 

  • Huang ZL (2008) Method for triangular fuzzy number multiple attribute group decision making based on ideal solution. J Xiamen Univ 6:812–817

    Google Scholar 

  • Jiang WQ (2015) Extension of VIKOR method for multi-criteria group decision making problems with triangular fuzzy numbers. Control Decis 30(6):1059–1064

    MATH  Google Scholar 

  • Kahneman D, Tversky A (1979) Prospect theory: an analysis of decision under risk. Econometrica 47(2):263–292

    Article  MathSciNet  Google Scholar 

  • Karande P, Chakraborty S (2012) Application of multi-objective optimization on the basis of ratio analysis (MOORA) method for materials selection. Mater Des 37:317–324

    Article  Google Scholar 

  • Kaufmann A, Gupta MM (1991) Introduction to fuzzy arithmetic: theory and application. Van Nostrand Reinhold, New York

    MATH  Google Scholar 

  • Li C, Zeng S, Pan T, Zheng L (2014) A method based on induced aggregation operators and distance measures to multiple attribute decision making under 2-tuple linguistic environment. J Comput Syst Sci 80:1339–1349

    Article  MathSciNet  Google Scholar 

  • Liu WS (2016) Research on preferred method of connection mining village based on AHP-TOPSIS of triangular fuzzy numbers. Appl Res Comput 33(2):458–462

    Google Scholar 

  • Liu HC, Fan XJ, Li P (2014) Evaluating the risk of failure modes with extended MULTIMOORA method under fuzzy environment. Eng Appl Artif Intell 34:168–177

    Article  Google Scholar 

  • Merigo JM, Casanovas M (2011) Induced and uncertain heavy OWA operators. Comput Ind Eng 60:106–116

    Article  Google Scholar 

  • Pang JF, Liang JY, Song P (2017) An adaptive consensus method for multi-attribute group decision making under uncertain linguistic environment. Appl Soft Comput 58:339–353

    Article  Google Scholar 

  • Stanujkic D, Magdalinovic N, Jovanovic R, Stojanovic S (2012) An objective multi-criteria approach to optimization using MOORA method and interval grey numbers. Technol Econ Dev Econ 18:331–363

    Article  Google Scholar 

  • Tversky A, Kahneman D (1992) Advances in prospect theory: cumulative representation of uncertainty. J Risk Uncertain 5(4):297–323

    Article  Google Scholar 

  • Wei GW (2011) Grey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information. Expert Syst Appl 38(5):4824–4828

    Article  Google Scholar 

  • Xu ZS (2004) Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf Sci 168(1–4):171–184

    Article  Google Scholar 

  • Xu ZS (2011) Approaches to multiple attribute group decision making based on intuitionist fuzzy power aggregation operators. Knowl Based Syst 24(6):749–760

    Article  Google Scholar 

  • Yager RR (1988) On order weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190

    Article  Google Scholar 

  • Zhang HM (2016) Group decision making based on incomplete multiplicative and fuzzy preference relations. Appl Soft Comput 48:735–744

    Article  Google Scholar 

Download references

Acknowledgements

This study was funded by the National Science Foundation (Grant No. 91024029).

Author information

Authors and Affiliations

  1. Faculty of Management and Economics, Dalian University of Technology, Dalian, 116024, China

    Wen-feng Dai & Qiu-yan Zhong

  2. School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou, 730020, China

    Wen-feng Dai & Chun-ze Qi

Authors
  1. Wen-feng Dai
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Qiu-yan Zhong
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Chun-ze Qi
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Wen-feng Dai.

Ethics declarations

Conflict of interest

All authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.

Additional information

Communicated by V. Loia.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dai, Wf., Zhong, Qy. & Qi, Cz. Multi-stage multi-attribute decision-making method based on the prospect theory and triangular fuzzy MULTIMOORA. Soft Comput 24, 9429–9440 (2020). https://doi.org/10.1007/s00500-018-3017-0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-018-3017-0

Keywords