In this chapter, we introduce multiple measures such as sizeSize andShare share for ordinary sets and flexible sets and analyze and expound their properties, relations, and operations. And then, we present the concepts of partial inclusionPartial inclusion, partial equalityPartial equality, andPartial correspondence partial correspondence and introduce the measures of inclusion-degreeInclusion-degree, equality-degreeEquality-degree, and correspondence-rateCorrespondence-rate. In particular, we find and present the sufficient and necessary conditions for these relations to satisfy transitivity and the corresponding transitive formulas of inclusion-degreesInclusion-degree (equality-degreesEquality-degree) and correspondence-ratesCorrespondence-rate.