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

Authors : Shahzaib Ashraf, Saleem Abdullah, Muhammad Qiyas, Aziz Khan

Pages : 84-97

View : 18 | Download : 9

Publication Date : 2019-05-07

Article Type : Research

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 infor mation. 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.