English

Soft convex structures

General Mathematics 2024-05-31 v1

Abstract

In this manuscript the idea of soft convex structures is given and some of their properties are investigated. Also, soft convex sets, soft concave sets and soft convex hull operator are defined and their properties are studied. Moreover, the concepts of soft convexly derived operator and soft convex base are studied and their relationship to convex structures are explored.

Cite

@article{arxiv.2405.19367,
  title  = {Soft convex structures},
  author = {José Sanabria and Adolfo Pimienta and Semiramis Zambrano},
  journal= {arXiv preprint arXiv:2405.19367},
  year   = {2024}
}