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Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making

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Abstract

In this paper, we utilize power aggregation operators and Bonferroni mean to develop some single-valued neutrosophic Bonferroni power aggregation operators and single-valued neutrosophic geometric Bonferroni power aggregation operators. The prominent characteristics of these proposed operators are studied. Then, we use the SVNWBPM and SVNWGBPM operators to solve the single-valued neutrosophic multiple attribute decision making problems. Finally, a practical example for strategic suppliers’ selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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References

  • Amato A, Di Martino B, Venticinque S (2014) Agents based multi-criteria decision-aid. J Ambient Intell Humaniz Comput 5(5):747–758

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  • Atanassov K (2000) Two theorems for intuitionistic fuzzy sets. Fuzzy Sets Syst 110:267–269

    Article  MathSciNet  MATH  Google Scholar 

  • Bajwa N, Fontem B, Sox CR (2016) Optimal product pricing and lot sizing decisions for multiple products with nonlinear demands. J Manag Anal 3(1):43–58

    Google Scholar 

  • Bellman R, Zadeh LA (1970) Decision making in a fuzzy environment. Manag Sci 17:141–164

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  Google Scholar 

  • Chen TY (2016) An interval-valued intuitionistic fuzzy permutation method with likelihood-based preference functions and its application to multiple criteria decision analysis. Appl Soft Comput 42:390–409

    Article  Google Scholar 

  • Chiclana F, Herrera F, Herrera-Viedma E (2000) The ordered weighted geometric operator: Properties and application. In: Proceedings of 8th international conference on information processing and management of uncertainty in knowledge-based systems, Madrid, pp 985–991

  • Gao H, Lu M, Wei GW, Wei Y (2018) Some novel Pythagorean fuzzy interaction aggregation operators in multiple attribute decision making. Fundamenta Informaticae 159(4):385–428

    Article  MathSciNet  MATH  Google Scholar 

  • Garg H (2016) A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem. J Intell Fuzzy Syst 31(1):529–540

    Article  MATH  Google Scholar 

  • Levy R, Brodsky A, Luo J (2016) Decision guidance framework to support operations and analysis of a hybrid renewable energy system. J Manag Anal 3(4):285–304

    Google Scholar 

  • Li DF (2014) Decision and game theory in management with intuitionistic fuzzy sets. Studies in fuzziness and soft computing 308, Springer, New York, pp 1–441. ISBN 978-3-642-40711-6

    Book  Google Scholar 

  • Li Y, Liu P, Chen Y (2016) Some single valued neutrosophic number Heronian mean operators and their application in multiple attribute group decision making. Informatica 27(1):85–110

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  • Lu M, Wei GW, Alsaadi FE, Hayat T, Alsaedi A (2017) Bipolar 2-tuple linguistic aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):1197–1207

    Article  MATH  Google Scholar 

  • Majumdar P, Samant SK (2014) On similarity and entropy of neutrosophic sets. J Intell Fuzzy Syst 26(3):1245–1252

    MathSciNet  MATH  Google Scholar 

  • Nayagam VLG, Sivaraman G (2011) Ranking of interval-valued intuitionistic fuzzy sets. Appl Soft Comput 11:3368–3372

    Article  Google Scholar 

  • Nikander J (2017) Suitability of papiNet-standard for straw biomass logistics. J Ind Inf Integr 6:11–21

    Google Scholar 

  • Peng JJ, Wang JQ, Zhang HY, Chen XH (2014) An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl Soft Comput 25:336–346

    Article  Google Scholar 

  • Pourhassan MR, Raissi S (2017) An integrated simulation-based optimization technique for multi-objective dynamic facility layout problem. J Ind Inf Integr 8:49–58

    Google Scholar 

  • Ran LG, Wei GW (2015) Uncertain prioritized operators and their application to multiple attribute group decision making. Technol Econ Dev Econ 21(1):118–139

    Article  Google Scholar 

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

    Google Scholar 

  • Sattarpour T, Nazarpour D, Golshannavaz S, Siano P (2018) A multi-objective hybrid GA and TOPSIS approach for sizing and siting of DG and RTU in smart distribution grids. J Ambient Intell Humaniz Comput 9(1):105–122

    Article  Google Scholar 

  • Smarandache F (1998) Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis and synthetic analysis. American Research Press, Rehoboth, DE, USA

    MATH  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 (2003) A unifying field in logics: neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability and statistics, 3rd edn. Xiquan, Phoenix

    MATH  Google Scholar 

  • Smarandache F (2013) n-Valued refined neutrosophic logic and its applications in physics. Prog Phys 4:143–146

    Google Scholar 

  • Szmidt E, Kacprzyk J (2010) Dealing with typical values via Atanassov’s intuitionistic fuzzy sets. Int J Gen Syst 39:489–506

    Article  MathSciNet  MATH  Google Scholar 

  • Szmidt E, Kacprzyk J, Bujnowski P (2014) How to measure the amount of knowledge conveyed by Atanassov’s intuitionistic fuzzy sets. Inf Sci 257:276–285

    Article  MathSciNet  MATH  Google Scholar 

  • Wang H, Smarandache F, Zhang YQ, Sunderraman R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix

    MATH  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 (2010) GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting. Knowl Based Syst 23:243–247

    Article  Google Scholar 

  • Wei GW (2015) Approaches to interval intuitionistic trapezoidal fuzzy multiple attribute decision making with incomplete weight information. Int J Fuzzy Syst 17(3):484–489

    Article  MathSciNet  Google Scholar 

  • Wei GW (2016) Interval valued hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making. Int J Mach Learn Cybernet 7(6):1093–1114

    Article  MathSciNet  Google Scholar 

  • Wei GW (2017) Interval-valued dual hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(3):1881–1893

    Article  MATH  Google Scholar 

  • Wei GW (2018a) Some similarity measures for picture fuzzy sets and their applications. Iran J Fuzzy Syst 15(1):77–89

    MathSciNet  MATH  Google Scholar 

  • Wei GW (2018b) Picture fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. Fundamenta Informaticae 157(3):271–320

    Article  MathSciNet  MATH  Google Scholar 

  • Wei GW, Wei Y (2018a) Similarity measures of Pythagorean fuzzy sets based on cosine function and their applications. Int J Intell Syst 33(3):634–652

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  • Wei GW, Wang HJ, Lin R (2011) Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision-making with incomplete weight information. Knowl Inf Syst 26:337–349

    Article  Google Scholar 

  • Wei GW, Alsaadi FE, Hayat T, Alsaedi A (2016) Hesitant fuzzy linguistic arithmetic aggregation operators in multiple attribute decision making. Iranian Journal of Fuzzy Systems 13(4):1–16

    MathSciNet  MATH  Google Scholar 

  • Wei CM, Li ZP, Zou ZB (2017a) Ordering policies and coordination in a two-echelon supply chain with Nash bargaining fairness concerns. J Manag Anal 4(1):55–79

    Google Scholar 

  • Wei GW, Lu M, Alsaadi FE, Hayat T, Alsaedi A (2017b) Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):1129–1142

    Article  MATH  Google Scholar 

  • Wei GW, Alsaadi FE, Hayat T, Alsaedi A (2018a) Picture 2-tuple linguistic aggregation operators in multiple attribute decision making. Soft Comput 22(3):989–1002

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  • Wu J, Li L, Xu L (2014) A randomized pricing decision support system in electronic commerce. Decis Support Syst 58:43–52

    Article  Google Scholar 

  • Wu XH, Wang JQ, Peng JJ, Chen XH (2016) Cross-entropy and prioritized aggregation operator with simplified neutrosophic sets and their application in multi-criteria decision-making problems. J Intell Fuzzy Syst 18:1104–1116

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Xu L (2011) Information architecture for supply chain quality management. Int J Prod Res 49(1):183–198

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  • Xu ZS, Yager RR (2010) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18(1):94–105

    Article  Google Scholar 

  • Yager RR (1997) Multiple objective decision-making using fuzzy sets. Int J Man Mach Stud 9:375–382

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  • Ye J (2010) Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment. Eur J Oper Res 205:202–204

    Article  MATH  Google Scholar 

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

    Article  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) Single valued neutrosophic cross-entropy for multicriteria decision making problems. Appl Math Model 38(3):1170–1175

    Article  MathSciNet  MATH  Google Scholar 

  • Ye J (2015) Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses. Artif Intell Med 63:171–179

    Article  Google Scholar 

  • Ye J (2016a) Projection and bidirectional projection measures of single valued neutrosophic sets and their decision-making method for mechanical design schemes. J Exp Theor Artif Intell 6:1–10

    Google Scholar 

  • Ye J (2016b) Similarity measures of intuitionistic fuzzy sets based on cosine function for the decision making of mechanical design schemes. J Intell Fuzzy Syst 30(1):151–158

    Article  MATH  Google Scholar 

  • Ye J (2017a) Single valued neutrosophic similarity measures based on cotangent function and their application in the fault diagnosis of steam turbine. Soft Comput 21:817–825

    Article  MATH  Google Scholar 

  • Ye J (2017b) Single-valued neutrosophic clustering algorithms based on similarity measures. J Classif 2017 34:148–162

    MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–356

    Article  MATH  Google Scholar 

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

    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

    Article  Google Scholar 

  • Zhu B, Xu ZS, Xia MM (2012) Hesitant fuzzy geometric Bonferroni means. Inf Sci 205:72–85

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

The work was supported by the National Natural Science Foundation of China under Grant nos. 61174149 and 71571128 and the Humanities and Social Sciences Foundation of Ministry of Education of the People’s Republic of China (17XJA630003) and the Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province (15TD0004).

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Correspondence to Zuopeng Zhang.

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Wei, G., Zhang, Z. Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making. J Ambient Intell Human Comput 10, 863–882 (2019). https://doi.org/10.1007/s12652-018-0738-y

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  • DOI: https://doi.org/10.1007/s12652-018-0738-y

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