IF-Bags and Knowledge Representation in Soft Decision Analysis

Abstract

The concept of IF-Bags was introduced by the author as a generalization of the notion of fuzzy bags. In case of IF-Bags, each element is associated with a crisp bag drawn from the Cartesian product I×I of the unit interval I = [0, 1]. This paper introduces a method for quantitatively measuring the similarity between two IF-Bags. As a consequence, the notions of a measure of coherence and a measure of hesitancy between two IF-Bags are also introduced. It is observed that the measure of coherence and the measure of hesitancy between the IF-Bags can be regarded as crucial factors in case of scenario evaluation as well as grading that relates to knowledge representation in soft decision analysis problems.