The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems

Year 2019, Issue: 28, 84 - 97, 07.05.2019

Shahzaib Ashraf , Saleem Abdullah Muhammad Qiyas , Aziz Khan

Abstract

Spherical fuzzy set is the generalized structure over existing structures of fuzzy sets to deals with uncertainty and imprecise information in decision-making problems. Viewing the effectiveness of the spherical fuzzy set, we developed a decision-making algorithm to deal with multi-criteria decision-making problems. In this paper, we extend operational laws to propose spherical fuzzy Choquet integral weighted averaging (SFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SFCIWA operator is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable.

Keywords

Choquet integral, Spherical fuzzy Choquet integral weighted averaging (SFCIWA) operator, GRA method, Spherical fuzzy sets, Decision making technique.

Thanks

no funding supporting agency

References

• Ashraf, S. and Abdullah, S., 2019. Spherical aggregation operators and their application in multi-attribute group decision-making. International Journal of Intelligent Systems, 34(3), pp.493-523.