Convex and Concave Sets Based on Soft Sets and Fuzzy Soft Sets

Abstract

In this study, after given somebasic definitions of soft sets and fuzzy soft sets we firstly defineconvex-concave soft sets. Then, we investigate their properties and give somerelations between convex and concave soft sets. Furthermore, we define fuzzyconvex-concave soft sets and give some properties for the sets.

Keywords

• fuzzy set
• soft sets
• convex sets
• concave sets
• strictly convex
• strongly convex