Convex and Concave Soft Sets and Some Properties

2013/07/17 by İrfan Deli̇, Irfan Deli, Deli, Irfan
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Rough Sets and Fuzzy Logic #math.GM

paper · pdf · doi:10.48550/arxiv.1307.4960

arxiv created 2013/07/17 · openalex publication_date 2013/07/17 · arxiv updated 2013/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, after given the definition of soft sets and their basic operations we define convex soft sets which is an important concept for operation research, optimization and related problems. Then, we define concave soft sets and give some properties for the concave sets. For these, we will use definition and properties of convex-concave fuzzy sets in literature. We also give different some properties for the convex and concave soft sets.

Citations

• On some new operations in soft set theory
• Rough sets

Related

• Soft convex structures
• Fuzzy soft numbers
• Parameterized Norm and Parameterized Fixed-Point Theorem by Using Fuzzy Soft Set Theory
• The correct structures in fuzzy soft set theory
• Fuzzy Soft normed space and Fuzzy Soft linear operator