Skip to main content
SpringerLink
Log in

Multi-criteria decision making process based on some single-valued neutrosophic Dombi power aggregation operators

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

Abstract

The single-valued neutrosophic sets (SVNs) have a lot of applications in the field of engineering and scientific problems. In this paper, the Dombi operations and power averaging operator is used to constructing some single-valued neutrosophic Dombi power operators, i.e., single-valued neutrosophic Dombi power weighted averaging (SVNDPWA) operator, single-valued neutrosophic Dombi power order weighted averaging operator and single-valued neutrosophic Dombi power hybrid weighted averaging operator, and single-valued neutrosophic Dombi power weighted geometric averaging (SVNDPWGA) operator, single-valued neutrosophic Dombi power order weighted geometric averaging operator, and single-valued neutrosophic Dombi power hybrid weighted geometric averaging operator have been proposed. Some useful properties of these operators are investigated. Furthermore, SVNDPWA and SVNDPWGA operators in SVN environment are utilized to develop a multiple-criteria decision making (MCDM) method. Finally, an application of the proposed MCDM method is given for road construction companies selection. Also, for selection of road construction companies by single-valued neutrosophic Dombi power aggregation operators is verified by MABAC method. The proposed method is compared with some pre-existing techniques to check the efficiency of the proposed approach.

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

Similar content being viewed by others

References

  • Abdel-Basset M, Mohamed M, Zhou Y, Hezam I (2017) Multi-criteriagroup decision making based on neutrosophic analytic hierarchy process. J Int Fuzzy Syst 33(6):4055–4066

    Google Scholar 

  • Abdel-Basset M, Mohamed M, Smarandache F (2018) An extension of neutrosophic AHP-SWOT analysis for strategic planning and decision-making. Symmetry 10(4):116

    Google Scholar 

  • Atanassov KT (1999) On intuitionistic fuzzy sets theory. Studies in fuzziness and soft computing, vol 283. Springer, Berlin

    Google Scholar 

  • Bausys R, Zavadskas EK (2015) Multicriteria decision making approach by VIKOR under interval neutrosophic set environment. Econ Comput Econ Cybern Stud Res 4:33–48

    Google Scholar 

  • Beliakov G, Pradera A, Calvo T (2007) Aggregation functions: a guide for practitioners. Springer, Heidelberg

    MATH  Google Scholar 

  • Biswas P, Pramanik S, Giri BC (2014) A new methodology for neutrosophic multi-attribute decisionmaking with unknown weight information. Neutrosophic Sets Syst 3:42–50

    Google Scholar 

  • Biswas P, Pramanik S, Giri BC (2016) TOPSIS method for multi-attribute groupdecision-making under single valued neutrosophic environment. Neural Comput Appl 27(3):727–737

    Google Scholar 

  • Broumi S, Smarandache F (2014) Single valued neutrosophic trapezoid linguistic aggregation operators based multi-attribute decision making. Bull Pure Appl Sci 33(2):135–155

    Google Scholar 

  • Broumi S, Bakali A, Talea M, Smarandache F, Krishnan Kishore KP, Sahin R (2018) Shortest path problem under interval valued neutrosophic setting. J Fundam Appl Sci 10(4S):168–174

    Google Scholar 

  • Chen J, Ye J (2017) Some single-valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision-making. Symmetry 9(82):1–11

    Google Scholar 

  • Chen ZS, Chin KS, Li YL, Yang Y (2016) On generalized extended Bonferroni means for decision making. IEEE Trans Fuzzy Syst 24(6):1525–1543

    Google Scholar 

  • Chen L, Peng J, Liu Z, Zhao R (2017) Pricing and effort decisions for a supply chain with uncertain information. Int J Prod Res 55(1):264–284

    Google Scholar 

  • Chen ZS, Chin KS, Tsui KL (2019a) Constructing the geometric Bonferroni mean from the generalized Bonferroni mean with several extensions to linguistic 2-tuples for decision-making. Appl Soft Comput 78:595–613

    Google Scholar 

  • Chen ZS, Yu C, Chin KS, Martínez L (2019b) An enhanced ordered weighted averaging operators generation algorithm with applications for multicriteria decision making. Appl Math Model 71:467–490

    MathSciNet  MATH  Google Scholar 

  • Chen ZS, Yang Y, Wang XJ, Chin KS, Tsui KL (2019c) Fostering linguistic decision-making under uncertainty: a proportional interval type-2 hesitant fuzzy TOPSIS approach based on Hamacher aggregation operators and andness optimization models. Inf Sci 500:229–258

    Google Scholar 

  • Deli I, Subas Y (2014) Single valued neutrosophic numbers and their applications to multicriteria decision making problem. viXra preprint viXra 14120012

  • Deschrijver G, Cornelis C, Kerre EE (2004) On the representation of intuitionistic fuzzy \(t\)-norms and \(t\)-conorms. IEEE Trans Fuzzy Syst 12:45–61

    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 

  • Fan C, Ye J, Hu K, Fan E (2017) Bonferroni mean operators of linguistic neutrosophic numbers and their multiple attribute group decision-making methods. Information 8:107. https://doi.org/10.3390/info8030107

    Article  Google Scholar 

  • Gao H, Wei GW, Huang YH (2018) Dual hesitant bipolar fuzzy Hamacher prioritized aggregation operators in multiple attribute decision making. IEEE Access 6(1):11508–11522

    Google Scholar 

  • He X (2018) Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators. Nat Hazards 90(3):1153–1175

    Google Scholar 

  • He YD, Chen HY, Zhou LG (2013) Generalized interval-valued Atanassov intuitionistic fuzzy power operators and their application to group decision making. Int J Fuzzy Syst 15(4):401–411

    MathSciNet  Google Scholar 

  • Jana C, Pal M (2019a) Assessment of enterprise performance based on picture fuzzy Hamacher aggregation operators. Symmetry 11(1):75. https://doi.org/10.3390/sym11010075

    Article  MATH  Google Scholar 

  • Jana C, Pal M (2019b) A robust single-valued neutrosophic soft aggregation operators in multi-criteria decision making. Symmetry 11(1):110. https://doi.org/10.3390/sym11010110

    Article  Google Scholar 

  • Jana C, Pal M, Wang JQ (2019a) Bipolar fuzzy Dombi aggregation operators and its application in multiple attribute decision making process. J Ambient Intell Hum Comput 10(9):3533–3549

    Google Scholar 

  • Jana C, Senapati T, Pal M, Yager RR (2019b) Picture fuzzy Dombi aggregation operators: application to MADM process. Appl Soft Comput 74(1):99–109

    Google Scholar 

  • Jana C, Senapati T, Pal M (2019c) Pythagorean fuzzy Dombi aggregation operators and its applications in multiple attribute decision-making. Int J Intell Syst 34(9):2019–2038

  • Jana C, Pal M, Karaaslan F, Wang JQ (2020a) Trapezoidal neutrosophic aggregation operators and its application in multiple attribute decision-making process. Sci Iran E 27(3):1655–1673

    Google Scholar 

  • Jana C, Pal M, Wang JQ (2020b) Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making. Soft Comput 24:3631–3646

    MATH  Google Scholar 

  • Ji P, Wang JQ, Zhang HY (2018) Frank prioritized Bonferroni mean operator with single-valued neutrosophic sets and its application in selecting third-party logistics providers. Neural Comput Appl 30(3):799–823

    Google Scholar 

  • Liu PD (2016) The aggregation operators based on Archimedean t-conorm and t-norm for single-valued neutrosophic numbers and their application to decision making. Int J Fuzzy Syst 18:849–863

    Google Scholar 

  • Liu PD (2017) Multiple attribute group decision making method based on interval-valued intuitionistic fuzzy power Heronian aggregation operators. Comput Ind Eng 108:199–212

    Google Scholar 

  • Liu PD, Liu X (2017) Multiattribute group decision making methods based on linguistic intuitionistic fuzzy power Bonferroni mean operators. Complexity 3571459(1–3571459):15

    MathSciNet  MATH  Google Scholar 

  • Liu PD, Wang Y (2014a) Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Comput Appl 25:2001–2010

    Google Scholar 

  • Liu PD, Wang YM (2014b) Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators. Appl Soft Comput 17(1):90–104

    Google Scholar 

  • Liu PD, Yu XC (2014) 2-dimension uncertain linguistic power generalized weighted aggregation operator and its application for multiple attribute group decision making. Knowl-Based Syst 57(1):69–80

    Google Scholar 

  • Liu PD, Liu Z, Zhang X (2014) Some intuitionistic uncertain linguistic Heronian mean operators and their application to group decision making. Appl Math Comput 230:570–586

    MathSciNet  MATH  Google Scholar 

  • Liu PD, Zhang L, Liu X, Wang P (2016) Multi-valued neutrosophic number Bonferroni mean operators with their applications in multiple attribute group decision making. Int J Inf Technol Decis Mak 15:1–28

    Google Scholar 

  • Lu Z, Ye J (2017) Single-valued neutrosophic hybrid arithmetic and geometric aggregation operators and their decision-making method. Information 8:84. https://doi.org/10.3390/info8030084

    Article  Google Scholar 

  • Lu X, Ye J (2018) Dombi aggregation operators of linguistic cubic variables for multiple attribute decision making. Information 9:188. https://doi.org/10.3390/info9080188

    Article  Google Scholar 

  • Nancy Garg H (2016) Novel single-valued neutrosophic aggregated operators under frank norm operation and its application to decision-making process. Int J Uncertain Quant 6(4):361–375

    Google Scholar 

  • Peng J, Wang JQ, Chen H (2016) Simplified neutrosophic sets and their applications in multi-citeria group decision making problems. Int J Syst Sci 47(10):2342–2358

    MATH  Google Scholar 

  • Pramanik S, Dalapati S, Alam S, Smarandache S, Roy TK (2018) NS-cross entropy based MAGDM under single valued neutrosophic set environment. Information 9(2):37. https://doi.org/10.3390/info9020037

    Article  Google Scholar 

  • Rani D, Garg H (2018) Complex intuitionistic fuzzy power aggregation operators and their applications in multicriteria decision-making. Expert Syst. https://doi.org/10.1111/exsy.12325

    Article  Google Scholar 

  • Sahin R (2014) Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment. arXiv:1412.5202

  • Sahin R, Liu P (2017) Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making. Neural Comput Appl 28(6):1387–1395

    Google Scholar 

  • Smarandache F (1999) A unifying field in logics. Neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth

    MATH  Google Scholar 

  • Smarandache F (2005) Neutrosophic set—a generalization of the intuitionistic fuzzy set. Int J Pure Appl Math 24(3):287–297

    MathSciNet  MATH  Google Scholar 

  • Tan R, Zhang W, Chen S (2017) Some generalized single-valued neutrosophic linguistic operators and their application to multiple attribute group decision making. J Syst Sci Inf 5(2):148–162

    Google Scholar 

  • Wang WZ, Liu XW (2011) Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int J Intell Syst 26(11):1049–1075

    Google Scholar 

  • Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistruct 4:410–413

    MATH  Google Scholar 

  • Wei GW, Lu M (2018) Pythagorean fuzzy power aggregation operators in multiple attribute decision making. Int J Intell Syst 33(1):169–186

    Google Scholar 

  • Wei GW, Wei Y (2018) Some single-valued neutrosophic Dombi prioritized weighted aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):2001–2013

    Google Scholar 

  • Wei GW, Zhang Z (2019) Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making. J Ambient Intell Hum Comput 10:863–882

    Google Scholar 

  • Wei GW, Alsaadi FE, Tasawar H, Alsaedi A (2018) Bipolar fuzzy Hamacher aggregation operators in multiple attribute decision making. Int J Fuzzy Syst 20(1):1–12

    MathSciNet  MATH  Google Scholar 

  • Wu Q, Wu P, Zhou L, Chen H, Guan X (2018) Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multiattribute group decision making. Comput Ind Eng 116:144–162

    Google Scholar 

  • Xia MM, Xu ZS, Zhu B (2012) Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowl Based Syst 31(1):78–88

    Google Scholar 

  • Xiao Q, Chen L, Xie M, Wang C (2020) Optimal contract design in sustainable supply chain: interactive impacts of fairness concern and overconfidence. J Oper Res Soc. https://doi.org/10.1080/01605682.2020.1727784

    Article  Google Scholar 

  • Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187

    Google Scholar 

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

    Google Scholar 

  • Xu ZS, Da QL (2003) An overview of operators for aggregating information. Int J Intell Syst 18(9):953–969

    MATH  Google Scholar 

  • Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433

    MathSciNet  MATH  Google Scholar 

  • Xu Y, Merigo JM, Wang H (2012) Linguistic power aggregation operators and their application to multiple attribute group decision making. Appl Math Model 36:5427–5444

    MathSciNet  MATH  Google Scholar 

  • Yager RR (1998) On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190

    MATH  Google Scholar 

  • Yager RR (2001) The power average operator. IEEE Trans Syst Man Cybern Part A 31:724–731

    Google Scholar 

  • Yager RR, Kacprzyk J (1997) The ordered weighted averaging operators: theory and applications. Kluwer, Boston

    MATH  Google Scholar 

  • Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394

    MathSciNet  MATH  Google Scholar 

  • Ye J (2014a) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26:2459–2466

    MathSciNet  MATH  Google Scholar 

  • Ye J (2014b) Some aggregation operators of interval neutrosophic linguistic numbers for multiple attribute decision making. J Intell Fuzzy Syst 27:2231–2241

    MathSciNet  MATH  Google Scholar 

  • Ye J (2014c) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intell Fuzzy Syst 26:165–172

    MATH  Google Scholar 

  • Ye J (2016) Aggregation operators of neutrosophic linguistic numbers for multiple attribute group decision making. SpringerPlus 5:1–11

    Google Scholar 

  • Yu DJ (2012) Group decision making based on generalized intuitionistic fuzzy prioritized geometric operator. Int J Intell Syst 27:635–661

    Google Scholar 

  • Yu DJ (2013) Intuitionistic fuzzy Choquet aggregation operator based on Einstein operation laws. Sci Iran (Trans Ind Eng) 20(6):2109–2122

    Google Scholar 

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

    MATH  Google Scholar 

  • Zhang Z (2017) Interval-valued intuitionistic fuzzy Frank aggregation operators and their applications to multiple attribute group decision making. Neural Comput Appl 28(6):1471–1501

    Google Scholar 

  • Zhang HY, Wang JQ, Chen XH (2014) Interval neutrosophic sets and their application in multicriteria decision making problems. Sci World J. Article ID 645953, 15 pages

  • Zhang HY, Ji P, Wang JQ, Chen XH (2016) A neutrosophic normal cloud and its application in decision-making. Cogn Comput 8(4):649–669

    Google Scholar 

  • Zhao XF, Wei GW (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, Xu ZS, Ni FM, Liu SS (2010) Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 25(1):1–30

    MATH  Google Scholar 

  • Zhou L, Chen H, Liu J (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62(4):989–999

    Google Scholar 

Download references

Acknowledgements

We would like to thank the anonymous reviewers for their insightful and constructive comments and suggestions that have been helpful for providing a better version of the present work. There is no funding of this research.

Author information

Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Chiranjibe Jana & Madhumangal Pal

Authors
  1. Chiranjibe Jana
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Madhumangal Pal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chiranjibe Jana.

Ethics declarations

Conflict of interest

There is no conflict of interest between the authors and the institute where the work has been carried out.

Ethical approval

The 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

Jana, C., Pal, M. Multi-criteria decision making process based on some single-valued neutrosophic Dombi power aggregation operators. Soft Comput 25, 5055–5072 (2021). https://doi.org/10.1007/s00500-020-05509-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-020-05509-z

Keywords

Search

Navigation