The paper addresses the problem of recovering a pseudoconvex function from the normal cones to its level sets that we call the convex level sets integration problem. An important application is the revealed preference problem. Our main result can be described as integrating a maximally cyclically pseudoconvex multivalued map that sends vectors or “bundles” of a Euclidean space to convex sets in...

This paper considers various aspects of generalizing mathematical morphology towards a fuzzy discipline. Since mathematical morphology and fuzzy theory are both based on a set theory, there are many approaches for defining dilation and erosion operations of a fuzzy morphology. Among those approaches are: the alpha-Morphology; the triangular norm based approach of Bloch; the logical approach of ...