An improved score function for ranking neutrosophic sets and its application to decision-making process

International Journal for Uncertainty Quantification

Volumn 6, Issue 5, 2018, Pages 377-385

  Nancy, ^a   Garg, Harish ^a  

^a THAPAR UNIVERSITY   (India)

Author keywords

Decision making; Expert system; Neutrosophic set; Score function

Indexed keywords

EID: 85022194366     PISSN: 21525080     EISSN: 21525099     Source Type: Journal    
DOI: 10.1615/Int.J.UncertaintyQuantification.2016018441     Document Type: Article

References (29)

1. Zadeh, L. A., Fuzzy sets, Inf. Control, 8:338-353, 1965.
2. Attanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets Syst., 20:87-96, 1986.
3. Atanassov, K. and Gargov, G., Interval-valued intuitionistic fuzzy sets, Fuzzy Sets Syst., 31:343-349, 1989.
4. Smarandache, F., A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic, Rehoboth, American Research Press, 1999.
5. Xu, Z. S. and Yager, R. R., Some geometric aggregation operators based on intuitionistic fuzzy sets, Int. J. Gen. Syst., 35:417-433, 2006.
6. Garg, H., A new generalized pythagorean fuzzy information aggregation using Einstein operations and its application to decision making, Int. J. Intell. Syst., 31(9):886-920, 2016.
7. Garg, H., Some series of intuitionistic fuzzy interactive averaging aggregation operators, SpringerPlus, 5(1):1-27, 2016.
8. Garg, H., Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making, Comput. Ind. Eng., 101:53-69, 2016.
9. Xu, Z. S., Intuitionistic fuzzy aggregation operators, IEEE Trans. Fuzzy Syst., 15(6):1179-1187, 2007.
10. Ye, J., Multicriteria fuzzy decision-making method based on a novel accuracy function under interval—valued intuitionistic fuzzy environment, Expert Syst. Appl., 36:6809-6902, 2009.
11. Mitchell, H. B., Ranking intuitionistic fuzzy numbers, Int. J. Uncertainty, Fuzziness Knowledge Based Syst., 12(3):377-386, 2007.
12. Nayagam, V. L. G., Venkateshwari, G., and Sivaraman, G., Ranking of intuitionistic fuzzy numbers, In Proc. of the IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE’08), pp. 1971-1974, 2008.
13. Garg, H., A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems, Appl. Soft Comput., 38:988-999, 2016.
14. Xu, Z. S., Method for aggregating interval-valued intuitionistic fuzzy information and their application to decision-making, Control Decision, 22(2):1179-1187, 2007.
15. Liu, Y. and Xie, N., Amelioration operators of fuzzy number intuitionistic fuzzy geometric and their application to multicriteria decision-making, In Proc. of the 21st Annual Int. Conf. on Chinese Control and Decision Conference, pp. 6172-6176, 2009.
16. Garg, H., Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making, Int. J. Machine Learn. Cybern., 7(6):1075-1092, 2016.
17. Garg, H., A novel accuracy function under interval-valued pythagorean fuzzy environment for solving multicriteria decision making problem, J. Intell. Fuzzy Syst., 31(1):529-540, 2016.
18. Garg, H., A novel correlation coefficients between pythagorean fuzzy sets and its applications to decision-making processes, Int. J. Intell. Syst., 31(12):1234-1253, 2016.
19. Xu, Z. S. and Zhao, N., Information fusion for intuitionistic fuzzy decision making: An overview, Inf. Fusion, 28:10-23, 2016.
20. Wang, H., Smarandache, F., Zhang, Y. Q., and Smarandache, R., Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, Phoenix, AZ: Hexis, 2005.
21. Wang, H., Smarandache, F., Zhang, Y. Q., and Sunderraman, R., Single valued neutrosophic sets, Multispace Multistruct., 4:410-413, 2010.
22. Majumdar, P. and Samant, S. K., On similarity and entropy of neutrosophic sets, J. Intell. Fuzzy Syst., 26(3):1245-1252, 2014.
23. Ye, J., Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making, Int. J. Intell. Fuzzy Syst., 26(1):165-172, 2014.
24. Ye, J., Multicriteria decision making method using the correlation coefficient under single-value neutrosophic environment, Int. J. Gen. Syst., 42(4):386-394, 2013.
25. Broumi S. and Smarandache, F., Correlation coefficient of interval neutrosophic set, Appl. Mech. Mater., 436:511-517, 2013.
26. Ye, J., A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets, Int. J. Gen. Syst., 26(5):2459-2466, 2014.
27. Zhang, H. Y., Wang, J. Q., and Chen, X. H., Interval neutrosophic sets and their application in multicriteria decision making problems, Sci. World J., vol. 2014, doi: 10.1155/2014/645953, 2014.
28. Peng, J. J., Wang, J. Q, Wang, J., Zhang, H. Y., and Chen, Z. H., Simplified neudtrosophic sets and their applications in multi-criteria group decision-making problems, Int. J. Syst. Sci., 47(10):2342-2358, 2016.
29. Şahin, R., Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment, http://arxiv.org/abs/1412.5202, Dec 17, 2014.