Abstract

In this paper, generalized fuzzy soft rough matrices and their operations which are more essential to make theoretical studies in the fuzzy soft rough sets are defined. Further, based on the analysis of generalized fuzzy soft rough matrices, several algebraic properties are established. Using the notions of generalized fuzzy soft rough matrices, a novel method for choosing an optimum choice in a multi-criteria decision-making problem is developed. Moreover, the proposed method is compared with the well-known existing methods of fuzzy soft matrices, and the effectiveness of the proposed method has been demonstrated through numerical example.

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