A survey on different definitions of soft points: limitations, comparisons and challenges

Abstract

The aim of this paper is to investigate different definitions of soft points in the existing literature on soft set theory and its extensions in different directions. Then limitations of these definitions are illustrated with the help of examples. Moreover, the definition of soft point in the setup of fuzzy soft set, intervalvalued fuzzy soft set, hesitant fuzzy soft set and intuitionistic soft set are also discussed. We also suggest an approach to unify the definitions of soft point which is more applicable than the existing notions.

Keywords

• soft point
• fuzzy soft point
• interval-valued fuzzy soft point
• hesitant fuzzy soft point
• intiutionistic fuzzy soft point
• neutrosophic soft points
• hypersoft points