A Theoretical and Analytical Approach for Fundamental Framework of Composite Mappings on Fuzzy Hypersoft Classes

Mapping is a fundamental mathematical concept that is used in many elementary areas of science and mathematics and has numerous applications. The core purpose of this study is to provide a theoretical and analytical approach for carving out a basic structure of composite mappings on the classes of Fuzzy Hypersoft (FHS) sets. It is a comprehensive study of existing concepts regarding mappings on fuzzy soft, soft and hesitant fuzzy soft classes through characterizing of composite mappings on FHS classes. Moreover, certain generalized properties of mappings on FHS classes like FHS images and FHS inverse images, are established. Some related results are verified with the help of illustrative examples. Keywords: Fuzzy soft, Soft classes, Hesitant fuzzy soft classes, Composite mappings, Fuzzy hypersoft set.