Possibility-induced simplified neutrosophic aggregation operators and their application to multi-criteria group decision-making

References

• Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.10.1016/S0165-0114(86)80034-3
   Web of Science ®Google Scholar
• Atanassov, K., & Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31, 343–349.10.1016/0165-0114(89)90205-4
   Web of Science ®Google Scholar
• Biswas, P., Pramanik, S., & Giri, B. C. (2014a). A new methodology for neutrosophic multi-attribute decision-making with unknown weight information. Neutrosophic Sets and Systems, 3, 42–50.
   Google Scholar
• Biswas, P., Pramanik, S., & Giri, B. C. (2014b). Entropy based grey relational analysis method for multiattribute decision making under single valued neutrosophic assessments. Neutrosophic Sets and Systems, 2, 102–110.
   Google Scholar
• Biswas, P., Pramanik, S., & Giri, B. C. (2015). TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment. Neural Computing & Applications, 27, 727–737. doi:10.1007/s00521-015-1891-2
   Web of Science ®Google Scholar
• Broumi, S., & Smarandache, F. (2013). Correlation coefficient of interval neutrosophic set. Applied Mechanics and Materials, 436, 511–517.10.4028/www.scientific.net/AMM.436
   Google Scholar
• Broumi, S., Ye, J., & Smarandache, F. (2015). An extended TOPSIS method for multiple attribute decision making based on interval neutrosophic uncertain linguistic variables. Neutrosophic Sets and Systems, 8, 23–32.
   Google Scholar
• Cheng, H. D., & GUO, Y. (2008). A New Neutrosophic Approach To Image Thresholding. New Mathematics and Natural Computation, 4, 291–308.10.1142/S1793005708001082
   Google Scholar
• Chi, P. P., & Liu, P. D. (2013). An extended TOPSIS method for the multiple attribute decision making problems based on interval neutrosophic set. Neutrosophic Sets & Systems, 1, 63–70.
   Google Scholar
• Eisa, M. (2014). A new approach for enhancing image retrieval using neutrosophic sets. International Journal of Computer Applications, 95, 12–20.10.5120/16613-6453
   Google Scholar
• Guo, Y., & Cheng, H. D. (2009). New neutrosophic approach to image segmentation. Pattern Recognition, 42, 587–595.10.1016/j.patcog.2008.10.002
   Web of Science ®Google Scholar
• Liu, P. D., Chu, Y. C., Li, Y. W., & Chen, Y. B. (2014). Some generalized neutrosophic number Hamacher aggregation operators and their application to Group Decision Making. International Journal of Fuzzy Systems, 16, 242–255.
   Web of Science ®Google Scholar
• Liu, P., & Jin, F. (2012). A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers. Applied Mathematical Modelling, 36, 2498–2509.10.1016/j.apm.2011.09.006
   Web of Science ®Google Scholar
• Liu, P., Jin, F., Zhang, X., Su, Y., & Wang, M. (2011). Research on the multi-attribute decision-making under risk with interval probability based on prospect theory and the uncertain linguistic variables. Knowledge-Based Systems, 24, 554–561.10.1016/j.knosys.2011.01.010
   Web of Science ®Google Scholar
• Liu, P., & Shi, L. (2015). The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making. Neural Computing & Applications, 26, 457–471.10.1007/s00521-014-1736-4
   Web of Science ®Google Scholar
• Liu, P., & Wang, Y. (2014). Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Computing & Applications, 25, 2001–2010.10.1007/s00521-014-1688-8
   Web of Science ®Google Scholar
• Liu, P., Zhang, X., & Jin, F. (2012). A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators. Journal of Intelligent & Fuzzy Systems, 23, 159–168.
   Web of Science ®Google Scholar
• Ma, Y. X., Wang, J. Q., Wang, J., & Wu, X. H. (2016). An interval neutrosophic linguistic multi-criteria group decision-making method and its application in selecting medical treatment options. Neural Computing & Applications. doi:10.1007/s00521-016-2203-1
   PubMedGoogle Scholar
• Majumdar, P., & Samanta, S. K. (2014). On similarity and entropy of neutrosophic sets. Journal of Intelligent & Fuzzy Systems, 26, 1245–1252.
   Web of Science ®Google Scholar
• Peng, J. J., Wang, J. Q., Wang, J., Zhang, H. Y., & Chen, X. H. (2015). Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. International Journal of Systems Science, 47, 2342–2358. doi:10.1080/00207721.2014.994050
   Web of Science ®Google Scholar
• Peng, J. J., Wang, J. Q., Wu, X. H., Wang, J., & Chen, X. H. (2015). Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision-making problems. International Journal of Computational Intelligence Systems, 8, 345–363.10.1080/18756891.2015.1001957
   Web of Science ®Google Scholar
• Peng, J. J., Wang, J. Q., Zhang, H. Y., & Chen, X. H. (2014). An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Applied Soft Computing, 25, 336–346.10.1016/j.asoc.2014.08.070
   Web of Science ®Google Scholar
• Pramanik, S., & Mondal, K. (2015). Cosine similarity measure of rough neutrosophic sets and its application in medical diagnosis. Global Journal of Advanced Research, 2, 212–220.
   Google Scholar
• Şahin, R. (2014). Neutrosophic hierarchical clustering algorithms. Neutrosophic Sets and Systems, 2, 18–24.
   Google Scholar
• Şahin, R., & Küçük, A. (2014). Subsethood measures for single valued neutrosophic sets. Journal of Intelligent & Fuzzy Systems, 29, 525–530. doi:10.3233/IFS-141304
   Web of Science ®Google Scholar
• Şahin, R., & Liu, P. D. (2016). Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information. Neural Computing & Applications, 27, 2017–2029.
   Web of Science ®Google Scholar
• Şahin, R., & Yiğider, M. (2016). A multi-criteria neutrosophic group decision making method based TOPSIS for supplier selection. Applied Mathematics & Information Sciences, 10(5), 1–10.
   Google Scholar
• Salama, A. A., Smarandache, F., & Kroumov, V. (2014). Neutrosophic crisp sets & neutrosophic crisp topological spaces. Neutrosophic Sets and Systems, 2, 25–30.
   Google Scholar
• Smarandache, F. (1999). A unifying field in logics. Neutrosophy: Neutrosophic probability, set and logic. Rehoboth: American Research Press.
   Google Scholar
• Smarandache, F. (2003). A unifying field in logics: Neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability and statistics (3rd ed.). Phoenix, AZ: Xiquan.
   Google Scholar
• Sun, H. X., Yang, H. X., Wu, J. Z., & Ouyang, Y. (2015). Interval neutrosophic numbers Choquet integral operator for multi-criteria decision making. Journal of Intelligent & Fuzzy Systems, 28, 2443–2455. doi:10.3233/IFS-141524
   Web of Science ®Google Scholar
• Tian, Z. P., Wang, J., Wang, J. Q., & Zhang, H. Y. (2016a). A likelihood-based qualitative flexible approach with hesitant fuzzy linguistic information. Cognitive Computation, 8, 670–683.10.1007/s12559-016-9400-1
   Web of Science ®Google Scholar
• Tian, Z. P., Wang, J., Wang, J. Q., & Zhang, H. Y. (2016b). Simplified neutrosophic linguistic multi-criteria group decision-making approach to green product development. Group Decision and Negotiation. doi:10.1007/s10726-016-9479-5
   Web of Science ®Google Scholar
• Tian, Z. P., Zhang, H., Wang, J., Wang, J. Q., & Chen, X. H. (2016). Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets. International Journal of Systems Science, 47, 3598–3608.10.1080/00207721.2015.1102359
   Web of Science ®Google Scholar
• Turksen, I. (1986). Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems, 20, 191–210.10.1016/0165-0114(86)90077-1
   Web of Science ®Google Scholar
• Wang, J. Q., & Li, X. E. (2015). TODIM method with multi-valued neutrosophic sets. Control and Decision, 30, 1139–1142.
   Google Scholar
• Wang, H., Smarandache, F., Zhang, Y. Q., & Sunderraman, R. (2005). Interval neutrosophic sets and logic: Theory and applications in computing. Phoenix, AZ: Hexis.
   Google Scholar
• Wang, H., Smarandache, F., Zhang, Y. Q., & Sunderraman, R. (2010). Single valued neutrosophic sets. Multispace & Multistructure, 4, 410–413.
   Google Scholar
• Wu, X. H., Wang, J., Peng, J. J., & Chen, X. H. (2016). Cross-entropy and prioritized aggregation operator with simplified neutrosophic sets and their application in multi-criteria decision-making problems. International Journal of Fuzzy Systems. doi:10.1007/s40815-016-0180-2
   Web of Science ®Google Scholar
• Ye, J. (2013). Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. International Journal of General Systems, 42, 386–394.10.1080/03081079.2012.761609
   Web of Science ®Google Scholar
• Ye, J. (2014a). Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. Journal of Intelligent & Fuzzy Systems, 26, 165–172.
   Web of Science ®Google Scholar
• Ye, J. (2014b). Single valued neutrosophic cross-entropy for multicriteria decision making problems. Applied Mathematical Modelling, 38, 1170–1175.10.1016/j.apm.2013.07.020
   Web of Science ®Google Scholar
• Ye, J. (2014c). Single valued neutrosophic minimum spanning tree and its clustering method. Journal of Intelligent Systems, 23, 311–324.
   Google Scholar
• Ye, ,J (2014d). A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. Journal of Intelligent & Fuzzy Systems, 26, 2459–2466.
   Web of Science ®Google Scholar
• Ye, S., Fu, J., & Ye, J. (2015). Medical diagnosis using distance-based similarity measures of single valued neutrosophic multisets. Neutrosophic Sets and Systems, 7, 47–52.
   Google Scholar
• Yu, D. J. (2012). Group decision making based on generalized intuitionistic fuzzy prioritized geometric operator. International Journal of Intelligent Systems, 27, 635–661.10.1002/int.v27.7
   Web of Science ®Google Scholar
• Yu, D. J. (2013). Intuitionistic fuzzy geometric Heronian mean aggregation operators. Applied Soft Computing, 13, 1235–1246.10.1016/j.asoc.2012.09.021
   Web of Science ®Google Scholar
• Yu, D. J. (2014). Intuitionistic fuzzy information aggregation under confidence levels. Applied Soft Computing, 19, 147–160.10.1016/j.asoc.2014.02.001
   Web of Science ®Google Scholar
• Yu, D. J. (2015). Group decision making under interval-valued multiplicative intuitionistic fuzzy environment based on Archimedean t-conorm and t-norm. International Journal of Intelligent Systems, 30, 590–616.10.1002/int.2015.30.issue-5
   Web of Science ®Google Scholar
• Yu, D. J., & Shi, S. (2015). Researching the development of Atanassov intuitionistic fuzzy set: Using a citation network analysis. Applied Soft Computing, 32, 189–198.10.1016/j.asoc.2015.03.027
   Web of Science ®Google Scholar
• Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.10.1016/S0019-9958(65)90241-X
   Web of Science ®Google Scholar
• Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning—I. Information Sciences, 8, 199–249.10.1016/0020-0255(75)90036-5
   Web of Science ®Google Scholar
• Zhang, H., Wang, J. Q., & Chen, X. H. (2015). An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets. Neural Computing & Applications, 27, 615–627. doi:10.1007/s00521-015-1882-3
   Web of Science ®Google Scholar
• Zhang, H. Y., Ji, P., Wang, J. Q., & Chen, X. (2016). A neutrosophic normal cloud and its application in decision-making. Cognitive Computation, 8, 649–669.10.1007/s12559-016-9394-8
   Web of Science ®Google Scholar
• Zhang, H. Y., Wang, J. Q., & Chen, X. H. (2014). Interval neutrosophic sets and their application in multicriteria decision making problems. The Scientific World Journal. Article ID 645953.
   Web of Science ®Google Scholar
• Zhang, M., Liu, P., & Shi, L. (2016). An extended multiple attribute group decision-making TODIM method based on the neutrosophic numbers. Journal of Intelligent & Fuzzy Systems, 30, 1773–1781. doi:10.3233/IFS-151889
   Web of Science ®Google Scholar
• Zhang, Z., & Wu, C. (2014). A novel method for single-valued neutrosophic multi-criteria decision making with incomplete weight information. Neutrosophic Sets and Systems, 4, 35–49.
   Google Scholar