Fuzzification of set inclusion for fuzzy sets is developed in terms of an indicator for set inclusion, the indicator giving the degree to which a fuzzy set is a subset of another fuzzy set. In contrast to most existing indicators, it is proposed in the present paper that the indicator must be two-valued for crisp sets. The approach is to postulate axioms for the indicators, assume a specific mathematical form for such indicators, and then give necessary and sufficient conditions under which the specified formula gives rise to suitable indicator, in effect, providing a characterization of the indicator.
name of conference
Applications of Artificial Intelligence X: Machine Vision and Robotics