The Interval Parameter Optimization Model Based on Three-Way Decision Space and Its Application on “Green Products Recommendation”

Algorithm 3

Interval parameter optimization algorithm in three-way decision space (IPOA).

	Input: decision formal context ;
	Object x and condition attribute set ;
	Output: the decision rules of ;
	The interval parameters under optimal decision.
	Step 1: determine the number n of attributes in the formal context, and set the step length ;
	Step 2: initialize , , and build the interval three-way decision space ;
	Step 3: put into Algorithm 1 (GPOA);
	Step 4: in the output of Algorithm 1 (GPOA), if the accept loss is 0 and the reject loss is 0, turn to Step 5;
	Step 5: make , and update three-way decision space according to Algorithm 2 (SPDA);
	Step 6: turn to Steps 3 and 4;
	Step 7: compare these decision rules of , and output the optimal decision and interval parameters.
	End.