Skip to main content
SpringerLink
Log in

Extension of multi-Moora method with some q-rung orthopair fuzzy Dombi prioritized weighted aggregation operators for multi-attribute decision making

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

Abstract

The Dombi operators provide a flexible structure with its adjustable parameter because of Dombi generalized structure. On the other hand, priority aggregation operators play an important role in expressing the importance level of alternatives and attributes. In this study, novel Dombi prioritized aggregations are developed on q-rung orthopair fuzzy sets (q-ROFSs). The q-ROFSs include many fuzzy sets with dynamically changing q parameters. q-ROFSs include intuitionistic fuzzy sets, Pythagorean fuzzy sets and Fermatean fuzzy sets according to value of q parameter. In this study, Dombi prioritized aggregation of q-ROFSs is presented. The operators introduced are q-ROFSs Dombi prioritized weighted averaging operator (q-ROFSDPWA) and q-ROFSs Dombi prioritized weighted geometric operator (q-ROFSDPWG). We also investigate some of the properties of these operators. The proposed operators are used in MULTIMOORA method. The proposed methods with new aggregation operators are analyzed according to the q parameter of q-ROFSs and Dombi parameter on numerical example and also compared with other existing studies. It is seen that novel q-ROFSDPWA and q-ROFSDPWG aggregations give reasonable and stable results for multiple criteria decision making problem.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    MATH  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

    Google Scholar 

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

    MATH  Google Scholar 

  • Baležentis T, Zeng S, Baležentis A (2014) Multimoora-IFN: a MCDM method based on intuitionistic fuzzy number for performance management. Econ Comput Econ Cybern Stud Res 48:85–102

  • Boran FE, Genç S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with topsis method. Expert Syst Appl 36:11363–11368

    Google Scholar 

  • Brans J-P, Mareschal B (2005) Promethee methods. In: Multiple criteria decision analysis: state of the art surveys. Springer, pp 163–186

  • Brauers WK, Edmundas M, Zavadskas K (2010) Project management by multimoora as an instrument for transition economies. Technol Econ Dev Econ 16:5–24

    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

    Google Scholar 

  • Chen X, Zhao L, Liang H (2018) A novel multi-attribute group decision-making method based on the multimoora with linguistic evaluations. Soft Comput 22:5347–5361

    MATH  Google Scholar 

  • Dai W, Zhong Q, Qi C (2018) Multi-stage multi-attribute decision-making method based on the prospect theory and triangular fuzzy multimoora. Soft Comput 24:1–12

  • Deliktas D, Ustun O (2017) Student selection and assignment methodology based on fuzzy multimoora and multichoice goal programming. Int Trans Oper Res 24:1173–1195

    MathSciNet  MATH  Google Scholar 

  • Dombi J (1982) A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst 8:149–163

    MathSciNet  MATH  Google Scholar 

  • Fattahi R, Khalilzadeh M (2018) Risk evaluation using a novel hybrid method based on FMEA, extended MULTIMOORA, and AHP methods under fuzzy environment. Saf Sci 102:290–300

    Google Scholar 

  • Gao H (2018) Pythagorean fuzzy hamacher prioritized aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 35:2229–2245

    Google Scholar 

  • Garg H (2017) Confidence levels based pythagorean fuzzy aggregation operators and its application to decision-making process. Comput Math Organ Theory 23:546–571

    Google Scholar 

  • Geetha S, Narayanamoorthy S, Kang D, Kureethara JV (2019) A novel assessment of healthcare waste disposal methods: intuitionistic hesitant fuzzy MULTIMOORA decision making approach. IEEE Access 7:130283–130299

    Google Scholar 

  • Hafezalkotob A, Hafezalkotob A, Liao H, Herrera F (2019) An overview of MULTIMOORA for multi-criteria decision-making: theory, developments, applications, and challenges. Inf Fusion 51:145–177

    Google Scholar 

  • Jahan A, Mustapha F, Ismail MY, Sapuan SM, Bahraminasab M (2011) A comprehensive VIKOR method for material selection. Mater Des 32:1215–1221

    Google Scholar 

  • Jana C, Muhiuddin G, Pal M (2019a) Some Dombi aggregation of q-rung orthopair fuzzy numbers in multiple-attribute decision making. Int J Intell Syst 34:3220–3240

    Google Scholar 

  • Jana C, Pal M, Wang J (2019b) Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making. Soft Comput 24:1–16

    MATH  Google Scholar 

  • Khan MS, Ali SA, Ali A, Amin F (2019) Pythagorean fuzzy prioritized aggregation operators and their application to multi-attribute group decision making. Granul Comput 4:249–263

    Google Scholar 

  • Kutlu Gündoğdu F (2020) A spherical fuzzy extension of MULTIMOORA method. J Intell Fuzzy Syst 38:1–16

    Google Scholar 

  • Li Z-H (2014) An extension of the MULTIMOORA method for multiple criteria group decision making based upon hesitant fuzzy sets. J Appl Math 2014:1–16

    Google Scholar 

  • Liang D, Darko AP, Zeshui X, Wang M (2019a) Aggregation of dual hesitant fuzzy heterogenous related information with extended bonferroni mean and its application to MULTIMOORA. Comput Ind Eng 135:156–176

    Google Scholar 

  • Liang D, Darko AP, Zeng J (2019b) Interval-valued pythagorean fuzzy power average-based MULTIMOORA method for multi-criteria decision-making. J Exp Theor Artif Intell, pp. 1–30

  • Liang W, Zhao G, Hong C (2019c) Selecting the optimal mining method with extended multi-objective optimization by ratio analysis plus the full multiplicative form (MULTIMOORA) approach. Neural Comput Appl 31:5871–5886

    Google Scholar 

  • Liao H, Zeshui X (2014) Multi-criteria decision making with intuitionistic fuzzy promethee. J Intell Fuzzy Syst 27:1703–1717

    MathSciNet  MATH  Google Scholar 

  • Lin L, Yuan X-H, Xia Z-Q (2007) Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets. J Comput Syst Sci 73:84–88

    MathSciNet  MATH  Google Scholar 

  • Lin R, Zhao X, Wei G (2013) Fuzzy number intuitionistic fuzzy prioritized operators and their application to multiple attribute decision making. J Intell Fuzzy Syst 24:879–888

    MathSciNet  MATH  Google Scholar 

  • Liu P (2013) Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making. IEEE Trans Fuzzy Syst 22:83–97

    Google Scholar 

  • Liu P, Liu J (2018) Some q-rung orthopai fuzzy bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33:315–347

    Google Scholar 

  • Liu H-W, Wang G-J (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179:220–233

    MATH  Google Scholar 

  • Liu P, Chen SM, Wang P (2018) Multiple-attribute group decision-making based on q-rung orthopair fuzzy power maclaurin symmetric mean operators. IEEE Trans Syst Man Cybern Syst 33:2341–2363

    Google Scholar 

  • Liu D, Peng D, Liu Z (2019) The distance measures between q-rung orthopair hesitant fuzzy sets and their application in multiple criteria decision making. Int J Intell Syst 34:2104–2121

    Google Scholar 

  • Ma Z, Zeshui X (2016) Symmetric pythagorean fuzzy weighted geometric/averaging operators and their application in multicriteria decision-making problems. Int J Intell Syst 31:1198–1219

    Google Scholar 

  • Omar MN, Fayek AR (2016) A topsis-based approach for prioritized aggregation in multi-criteria decision-making problems. J Multi-Criteria Decis Anal 23:197–209

    Google Scholar 

  • Senapati T, Yager RR (2019) Fermatean fuzzy sets. J Ambient Intell Humaniz Comput 11(2):663–674

    Google Scholar 

  • Shouzhen ZENG, Baležentis A, Weihua SU (2013) The multi-criteria hesitant fuzzy group decision making with MULTIMOORA method. Econ Comput Econ Cybern Stud Res 47:171–184

    Google Scholar 

  • Stanujkic D, Zavadskas EK, Smarandache F, Brauers WKM, Karabasevic D (2017) A neutrosophic extension of the MULTIMOORA method. Informatica 28:181–192

    Google Scholar 

  • Stanujkic D, Karabasevic D, Zavadskas EK, Smarandache F, Brauers WKM (2019) A bipolar fuzzy extension of the MULTIMOORA method. Informatica 30:135–152

    Google Scholar 

  • Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539

    MATH  Google Scholar 

  • Wang X, Triantaphyllou E (2008) Ranking irregularities when evaluating alternatives by using some electre methods. Omega 36:45–63

    Google Scholar 

  • Wang J, Wei G, Wei C, Wei Y (2019) Mabac method for multiple attribute group decision making under q-rung orthopair fuzzy environment. Defence Technol 16:208–216

    Google Scholar 

  • Wei G (2012) Hesitant fuzzy prioritized operators and their application to multiple attribute decision making. Knowl Based Syst 31:176–182

    Google Scholar 

  • Wei G, Gao H, Wei Y (2018a) Some q-rung orthopair fuzzy Heronian mean operators in multiple attribute decision making. Int J Intell Syst 33:1426–1458

    Google Scholar 

  • Wei G, Mao L, Tang X, Wei Y (2018b) Pythagorean hesitant fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. Int J Intell Syst 33:1197–1233

    Google Scholar 

  • Xia M, Zeshui X, Zhu B (2012) Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowl Based Syst 31:78–88

    Google Scholar 

  • Xian S, Liu Z, Gou X, Wan W (2020) Interval 2-tuple pythagorean fuzzy linguistic MULTIMOORA method with CIA and their application to MCGDM. Int J Intell Syst 35:650–681

    Google Scholar 

  • Xu Z (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179–1187

    Google Scholar 

  • Xu Z, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35:417–433

    MathSciNet  MATH  Google Scholar 

  • Xue Y-X, You J-X, Lai X-D, Liu H-C (2016) An interval-valued intuitionistic fuzzy MABAC approach for material selection with incomplete weight information. Appl Soft Comput 38:703–713

    Google Scholar 

  • Yager RR (1988) On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans Syst Man Cybern 18:183–190

    MathSciNet  MATH  Google Scholar 

  • Yager RR (2008) Prioritized aggregation operators. Int J Approx Reason 48:263–274

    MathSciNet  MATH  Google Scholar 

  • Yager RR (2013) Pythagorean fuzzy subsets. In: 2013 joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS). IEEE, pp 57–61

  • Yager RR (2016) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25:1222–1230

    Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    MATH  Google Scholar 

  • Zavadskas EK, Antucheviciene J, Razavi Hajiagha SH, Hashemi SS (2015) The interval-valued intuitionistic fuzzy MULTIMOORA method for group decision making in engineering. Math Probl Eng 2015:1–13

  • Zhang Z (2014) Intuitionistic trapezoidal fuzzy prioritized operators and their application to multiple attribute group decision making. J Adv Math Comput Sci 4:1951–1998

  • Zhang C, Chen C, Streimikiene D, Balezentis T (2019) Intuitionistic fuzzy MULTIMOORA approach for multi-criteria assessment of the energy storage technologies. Appl Soft Comput 79:410–423

    Google Scholar 

  • Zhao X, Wei G (2013) Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making. Knowl Based Syst 37:472–479

    Google Scholar 

  • Zhao H, You J-X, Liu H-C (2017) Failure mode and effect analysis using MULTIMOORA method with continuous weighted entropy under interval-valued intuitionistic fuzzy environment. Soft Comput 21:5355–5367

    Google Scholar 

Download references

Acknowledgements

Supported by organization scientific research project of Eskisehir Technical University for project topic named “Using generalized fuzzy sets in multiple criteria decision making systems”. (Grant No: 20DRP041)

Author information

Authors and Affiliations

  1. Computer Engineering Department, Eskisehir Technical University, Tepebasi, Eskisehir, Turkey

    Salih Berkan Aydemir & Sevcan Yilmaz Gündüz

Authors
  1. Salih Berkan Aydemir
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sevcan Yilmaz Gündüz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Salih Berkan Aydemir.

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.

Additional information

Communicated by V. Loia.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aydemir, S.B., Yilmaz Gündüz, S. Extension of multi-Moora method with some q-rung orthopair fuzzy Dombi prioritized weighted aggregation operators for multi-attribute decision making. Soft Comput 24, 18545–18563 (2020). https://doi.org/10.1007/s00500-020-05091-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-020-05091-4

Keywords

Search

Navigation