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

Algorithm 1

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

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