Nabiha Hassan Samra2025-11-172025-11-172022-08-04https://escholar.umt.edu.pk/handle/123456789/10256In this study, after given some fundamental definitions of multi-fuzzy sets and multi-fuzzy soft sets, we firstly define convex and concave multi-fuzzy sets. Then, by investigating their properties, we give some relations between convex and concave multi-fuzzy sets. Moreover, we define convex and concave multi-fuzzy soft sets and give some properties for the sets.enThesis