Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems

Algorithm 2

Filling the missing values in IISs of continuous data with fuzzy set values.

	Let be an IIS of continuous data. Assume that , where and . denotes the set . We shall use a fuzzy set of to represent the missing value , and we denote the fuzzy set by . Thus, , and we need to compute the membership degree . Next, we establish the steps of filling the missing value as follows:
	Step 1: , compute , where is a threshold on
	Step 2: Compute where
	Step 3: Assign a value to ,