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.
Similar content being viewed by others
References
Amato A, Di Martino B, Venticinque S (2014) Agents based multi-criteria decision-aid. J Ambient Intell Humaniz Comput 5(5):747–758
Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
Atanassov K (2000) Two theorems for intuitionistic fuzzy sets. Fuzzy Sets Syst 110:267–269
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
Bellman R, Zadeh LA (1970) Decision making in a fuzzy environment. Manag Sci 17:141–164
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
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
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
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
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
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
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
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
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
Majumdar P, Samant SK (2014) On similarity and entropy of neutrosophic sets. J Intell Fuzzy Syst 26(3):1245–1252
Nayagam VLG, Sivaraman G (2011) Ranking of interval-valued intuitionistic fuzzy sets. Appl Soft Comput 11:3368–3372
Nikander J (2017) Suitability of papiNet-standard for straw biomass logistics. J Ind Inf Integr 6:11–21
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
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
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
Sahin R (2014) Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment. arXiv Preprint arXiv:1412.5202
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
Smarandache F (1998) Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis and synthetic analysis. American Research Press, Rehoboth, DE, USA
Smarandache F (1999) A unifying field in logics. Neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth
Smarandache F (2003) A unifying field in logics: neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability and statistics, 3rd edn. Xiquan, Phoenix
Smarandache F (2013) n-Valued refined neutrosophic logic and its applications in physics. Prog Phys 4:143–146
Szmidt E, Kacprzyk J (2010) Dealing with typical values via Atanassov’s intuitionistic fuzzy sets. Int J Gen Syst 39:489–506
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
Wang H, Smarandache F, Zhang YQ, Sunderraman R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix
Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistruct 4:410–413
Wei GW (2010) GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting. Knowl Based Syst 23:243–247
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
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
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
Wei GW (2018a) Some similarity measures for picture fuzzy sets and their applications. Iran J Fuzzy Syst 15(1):77–89
Wei GW (2018b) Picture fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. Fundamenta Informaticae 157(3):271–320
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
Wei GW, Lu M (2018b) Pythagorean fuzzy power aggregation operators in multiple attribute decision making. Int J Intell Syst 33(1):169–186
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
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
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
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
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
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
Wu J, Li L, Xu L (2014) A randomized pricing decision support system in electronic commerce. Decis Support Syst 58:43–52
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
Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187
Xu L (2011) Information architecture for supply chain quality management. Int J Prod Res 49(1):183–198
Xu ZS, Da QL (2003) An overview of operators for aggregating information. Int J Intell Syst 18:953–969
Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35:417–433
Xu ZS, Yager RR (2010) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18(1):94–105
Yager RR (1997) Multiple objective decision-making using fuzzy sets. Int J Man Mach Stud 9:375–382
Yager RR (2001) The power average operator. IEEE Trans Syst Man Cybern Part A 31:724–731
Ye J (2010) Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment. Eur J Oper Res 205:202–204
Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-value neutrosophic environment. Int J Gen Syst 42(4):386–394
Ye J (2014a) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26:2459–2466
Ye J (2014b) Single valued neutrosophic cross-entropy for multicriteria decision making problems. Appl Math Model 38(3):1170–1175
Ye J (2015) Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses. Artif Intell Med 63:171–179
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
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
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
Ye J (2017b) Single-valued neutrosophic clustering algorithms based on similarity measures. J Classif 2017 34:148–162
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–356
Zhang HY, Wang JQ, Chen XH (2014) Interval neutrosophic sets and their application in multicriteria decision making problems. Sci Word J 645953:15
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
Zhu B, Xu ZS, Xia MM (2012) Hesitant fuzzy geometric Bonferroni means. Inf Sci 205:72–85
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).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12652-018-0738-y