Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)
The purpose of this paper is to reconsider the given comparisons, since they never represent the decision maker's judgments accurately. His/her judgment of two items may not be an exact value and s/he may not fix an exact wight of each item. In the conventional Interval AHP, reflecting the weight uncertainty, the weight of an item is denoted as an interval. This paper assumes that the weight of one of the items is certain in order to consider the comparison uncertainty. In other words, the item is assumed to be a standard in comparing the items. Then, a comparison can be estimated from the interval weights obtained by assuming one of two corresponding items as a standard. There are two estimations of the comparison and the interval which is included in both estimations is reliable so that the given comparison is replaced into the interval.
