Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making

References

• Arora, R., & Garg, H. (2017a). Prioritized averaging/geometric aggregation operators under the intuitionistic fuzzy soft set environment. Scientia Iranica E. doi:10.24200/SCI.2017.4410
   Web of Science ®Google Scholar
• Arora, R., & Garg, H. (2017b). A robust intuitionistic fuzzy soft aggregation operators and its application to decision making process. Scientia Iranica E. doi:10.24200/SCI.2017.4433
   Web of Science ®Google Scholar
• Atanassov, K., & Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31, 343–349.
   Web of Science ®Google Scholar
• Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
   Web of Science ®Google Scholar
• Bora, M., Neog, T. J., & Sut, D. K. (2012). Some new operations of intuitionistic fuzzy soft sets. International Journals of Soft Computing and Engineering, 2, 2231–2307.
   Google Scholar
• Cagman, N., & Deli, I. (2013). Similarity measures of intuitionistic fuzzy soft sets and their decision making. doi:arXiv:1301.0456.
   Google Scholar
• Garg, H. (2016a). Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Computer and Industrial Engineering, 101, 53–69.
   Web of Science ®Google Scholar
• Garg, H. (2016b). Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making. International Journal of Machine Learning and Cybernetics, 7(6), 1075–1092.
   Web of Science ®Google Scholar
• Garg, H. (2016c). A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Applied Soft Computing, 38, 988–999. doi:10.1016/j.asoc.2015.10.040
   Web of Science ®Google Scholar
• Garg, H. (2016d). A new generalized Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making. International Journal of Intelligent Systems, 31(9), 886–920.
   Web of Science ®Google Scholar
• Garg, H. (2016e). Some series of intuitionistic fuzzy interactive averaging aggregation operators. SpringerPlus, 5(1), 999. doi:10.1186/s40064-016-2591-9
   PubMedGoogle Scholar
• Garg, H. (2017a). Generalized Pythagorean fuzzy geometric aggregation operators using Einstein t-norm and t-conorm for multicriteria decision-making process. International Journal of Intelligent Systems, 32(6), 597–630.
   Web of Science ®Google Scholar
• Garg, H. (2017b). Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application. Engineering Applications of Artificial Intelligence, 60, 164–174.
   Web of Science ®Google Scholar
• Garg, H., & Arora, R. (2017a). Distance and similarity measures for dual hesistant fuzzy soft sets and their applications in multi criteria decision-making problem. International Journal for Uncertainty Quantification, 7(3), 229–248.
   Web of Science ®Google Scholar
• Garg, H., & Arora, R. (2017b). A nonlinear-programming methodology for multi-attribute decision-making problem with interval-valued intuitionistic fuzzy soft sets information. Applied Intelligence. doi:10.1007/s10489-017-1035-8
   Web of Science ®Google Scholar
• Garg, H., Agarwal, N., & Tripathi, A. (2015). Entropy based multi-criteria decision making method under fuzzy environment and unknown attribute weights. Global Journal of Technology and Optimization, 6(3), 13–20.
   Google Scholar
• Garg, H., Agarwal, N. & Tripathi, A. (2016). Fuzzy number intuitionistic fuzzy soft sets and its properties. Journal of Fuzzy Set Valued Analysis, 2016(3), 196–213. doi:10.5899/2016/jfsva-00332
   Google Scholar
• Jiang, Y., Tang, Y., Liu, H., & Chen, Z. (2013). Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets. Information Sciences, 240, 95–114.
   Web of Science ®Google Scholar
• Khalid, A., & Abbas, M. (2015). Distance measures and operations in intuitionistic and interval-valued intuitionistic fuzzy soft set theory. International Journal of Fuzzy Systems, 17(3), 490–497.
   Web of Science ®Google Scholar
• Kumar, K., & Garg, H. (2016). TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. Computational and Applied Mathematics, 1–11. doi:10.1007/s40314-016-0402-0
   PubMed Web of Science ®Google Scholar
• Liu, P., & Li, D. (2017). Some muirhead mean operators for intuitionistic fuzzy numbers and their applications to group decision making. PloS one, 12(1), e0168–767.
   Web of Science ®Google Scholar
• Lu, M., Wei, G. W., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2017). Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making. Journal of Intelligent and Fuzzy Systems, 33(2), 1105–1117.
   Web of Science ®Google Scholar
• Maji, P. K., Biswas, R., & Roy, A. (2001a). Intuitionistic fuzzy soft sets. Journal of Fuzzy Mathematics, 9(3), 677–692.
   Google Scholar
• Maji, P. K., Biswas, R., & Roy, A. R. (2001b). Fuzzy soft sets. Journal of Fuzzy Mathematics, 9(3), 589–602.
   Google Scholar
• Molodtsov, D. (1999). Soft set theory - first results. Computer and Mathematics with Applications, 27(4–5), 19–31.
   Web of Science ®Google Scholar
• Muthukumar, P., & Krishnan, G. S. S. (2016). A similarity measure of intuitionistic fuzzy soft sets and its application in medical diagnosis. Applied Soft Computing, 41, 148–156.\newpage
   Web of Science ®Google Scholar
• Nancy, & Garg, H. (2016). Novel single-valued neutrosophic decision making operators under frank norm operations and its application. International Journal for Uncertainty Quantification, 6(4), 361–375.
   Web of Science ®Google Scholar
• Rajarajeswari, P., & Dhanalakshmi, P. (2014). Similarity measures of intuitionistic fuzzy soft sets and its application in medical diagnosis. International Journal of Mathematical Archive, 5(5), 143–149.
   Google Scholar
• Sarala, N., & Suganya, B. (2016). An application of similarity measure of intuitionistic fuzzy soft set based on distance in medical diagnosis. International Journal of Science and Research, 4, 2298–2303.
   Google Scholar
• Selvachandran, G., Maji, P., & Faisal, R. Q. (2017). Distance and distance induced intuitionistic entropy of generalized intuitionistic fuzzy soft sets. Applied Intelligence, 1–16. doi:10.1007/s10489-016-0884-x
   Web of Science ®Google Scholar
• Wang, W., & Liu, X. (2012). Intuitionistic fuzzy information aggregation using einstein operations. IEEE Transactions on Fuzzy Systems, 20(5), 923–938.
   Web of Science ®Google Scholar
• Wei, G. W. (2016). Interval valued hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making. International Journal of Machine Learning and Cybernetics, 7(6), 1093–1114.
   Web of Science ®Google Scholar
• Wei, G. W., Alsaadi, F. E., 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.
   Web of Science ®Google Scholar
• Wei, G. W., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2017). A linear assignment method for multiple criteria decision analysis with hesitant fuzzy sets based on fuzzy measure. International Journal of Fuzzy Systems, 19(3), 607–614.
   Web of Science ®Google Scholar
• Wei, G. W., Lu, M., Alsaadi, F. E., Hayat, T., & Alsaedi, A. (2017). Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making. Journal of Intelligent and Fuzzy Systems, 33(2), 1129–1142.
   Web of Science ®Google Scholar
• Xu, Y., Wang, H., & Merigo, J. M. (2014). Intuitionistic fuzzy einstein choquet intergral operators for multiple attribute decision making. Technological and Economic Development of Economy, 20(2), 227–253.
   Web of Science ®Google Scholar
• Xu, Z., & Yager, R. R. (2010). Power - geometric operators and their use in group decision making. IEEE Transactions on Fuzzy Systems, 18(1), 94–105.
   Web of Science ®Google Scholar
• Xu, Z. S., & Yager, R. R. (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, 35, 417–433.
   Web of Science ®Google Scholar
• Xu, Z. S., & Yager, R. R. (2011). Intuitionistic fuzzy bonferroni means. IEEE Transaction on Systems, Man and Cybernetics, 41(2), 568–578.
   PubMed Web of Science ®Google Scholar
• Yager, R. R. (2008). Prioritized aggregation operators. International Journal of Approximate Reasoning, 48(1), 263–274.
   Web of Science ®Google Scholar
• Yager, R. R. (2009). On generalized bonferroni mean operators for multi-criteria aggregation. International Journal of Approximate Reasoning, 50(8), 1279–1286.
   Web of Science ®Google Scholar
• Yu, D. (2013). Intuitionistic fuzzy prioritized operators and their application in multi-criteria group decision making. Technological and Economic Development of Economy, 19(1), 1–21.
   Web of Science ®Google Scholar
• Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
   Web of Science ®Google Scholar