Research Article

Certain Types of Covering-Based Multigranulation ()-Fuzzy Rough Sets with Application to Decision-Making

Algorithm 1

Algorithm for MAGDM with the TOPSIS method.
ā€ˆInput: Fuzzy information systems .
ā€‰Output: Decision-Making.
(1)Enter , , and .
(2)From Definition 7, calculate fuzzy -neighborhood.
(3)From Step 2 and by Definition 8, calculate complementary fuzzy -neighborhood
(4)From Steps 2 and 3, calculate .
(5)Enter and .
(6)Calculate the distances and .
(7)From Definition 13, calculate the lower approximation and the upper approximation .
(8)Calculate the worst and the best decision-making objects and for each individual decision-maker.
(9)Calculate the individual ranking function .
(10)Calculate the group ranking function .
(11)Obtain the decision.