Mathematical morphology is based on the algebraic framework of complete lattices and
adjunctions, which endows it with strong properties and allows for multiple extensions. In …

This paper summarizes the mathematical aspects of fuzzy and bipolar mathematical
morphology and shows how morphological operators can be applied to define spatial …

This paper aims at providing an overview of the use of mathematical morphology, in its
algebraic setting, in several fields of artificial intelligence (AI). Three domains of AI will be …

In this paper, we introduce mathematical morphological operators such as dilation and
erosion on soft sets. Rather than the common approach which is based on expressing soft …

This paper introduces a definition of influence zones for fuzzy sets. The notion of fuzzy
skeleton by influence zones (SKIZ), or fuzzy generalized Voronoı¨ diagram, is derived …

Since the early days of physics, space has called for means to represent, experiment, and
reason about it. Apart from physicists, the concept of space has intrigued also philosophers …

Mathematical morphology is based on the algebraic framework of complete lattices and
adjunctions, which endows it with strong properties and allows for multiple extensions. In …

This paper aims at providing an overview of the use of mathematical morphology, in its
algebraic setting, in several fields of artificial intelligence (AI). Three domains of AI will be …

In this paper we propose definitions of distances to bipolar information. This notion is
important to find a solution that matches bipolar queries, to exhibit recommendations …

While the notions of influence zones and skeleton by influence zones (SKIZ) have many
important applications, they have not been extended to fuzzy sets until now. The aim of this …