Open Access Open Access  Restricted Access Subscription Access

MODELING MULTI-CRITERIA DECISION-MAKING IN DYNAMIC NEUTROSOPHIC ENVIRONMENTS BASES ON CHOQUET INTEGRAL

Nguyen Tho Thong, Cu Nguyen Giap, Tran Manh Tuan, Pham Minh Chuan, Pham Minh Hoang, Do Duc Dong

Abstract


Multi-attributes decision-making problem in dynamic neutrosophic environment is an open and highly-interesting research area with many potential applications in real life. The concept of the dynamic interval-valued neutrosophic set and its application for the dynamic decision-making are proposed recently, however the inter-dependence among criteria or preference is not dealt with in the proposed operations to well treat inter-dependence problems. Therefore, the definitions, mathematical operations and its properties are mentioned and discussed in detail.

Then, Choquet integral-based distance between dynamic inteval-valued neutrosophic sets is defined and used to develop a new decision making model based on the proposed theory. A practical application of proposed approach is constructed and tested on the data of lecturers' performance collected from Vietnam National University (VNU) to illustrate the efficiency of new proposal.


Keywords


Multi-attributes decision-making, Dynamic Interval-valued Neutrosophic Environment, Choquet Integral

Full Text:

PDF

References


Aiwu, Z., Jianguo, D., & Hongjun, G. (2015). Interval valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator. Journal of Intelligent & Fuzzy Systems, 29(6), 2697-2706.

Choquet, G. (1954). Theory of capacities. In Annales de l'institut Fourier (Vol. 5, pp. 131-295).

Fan, C., Fan, E., & Ye, J. (2018). The Cosine Measure of Single-Valued Neutrosophic Multisets for Multiple Attribute Decision-Making. Symmetry, 10(5), 154.

Galand, L., Lesca, J., Perny, P.: Dominance rules for the Choquet integral in multiobjective dynamic programming. In: IJCAI 2013, Proceedings of the 23rd International Joint Conference on Arti_cial Intelligence, Beijing, China, August 3-9, 2013. (2013)

Garg, H. (2018). Hesitant Pythagorean fuzzy sets and their aggregation operators in multiple attribute decision-making. International Journal for Uncertainty Quantification, 8(3).

Grabisch, M., & Labreuche, C. (2010). A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. Annals of Operations Research, 175(1), 247-286.

Grabisch, M., Marichal, J. L., Mesiar, R., & Pap, E. (2009). Aggregation functions (Vol. 127). Cambridge University Press.

Modave, F., Dubois, D., Grabisch, M., & Prade, H. (1997, November). A Choquet integral representation in multicriteria decision making. In AAAI Fall Symposium on Frontiers in Soft Computing and Decisions Systems (pp. 7-9).

Smarandache, F. (1998). Neutrosophy. Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, 105 p.

Sugeno, M. (1974). Theory of fuzzy integrals and its applications. Doct. Thesis, Tokyo Institute of technology.

Thong, N. T., Dat, L. Q., Hoa, N. D., Ali, M., & Smarandache, F. (2019). Dynamic interval valued neutrosophic set: Modeling decision making in dynamic environments. Computers in Industry, 108, 45-52.

Wang, H.; Madiraju, P. Interval-neutrosophic Sets. J. Mech. 2004, 1, 274–277.

Wang, H.; Madiraju, P. Interval-neutrosophic Sets. J. Mech. 2004, 1, 274–277.




DOI: https://doi.org/10.15625/1813-9663/36/1/14368 Display counter: Abstract : 83 views. PDF : 81 views.

Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology