Soft hyperdimonoids

This thesis is organized into seven chapters that collectively explore soft hyperdimonoids and their advanced variations. We collected from previous studies the subject with a review on soft sets, soft groups and soft homomorphism. Then reviews previous studies on dimonoids, commutative dimonoids, subdimonoids and dimonoid homomorphisms. After that we focus shifts to hyperdimonoids, hyperdimonoids homomorphism, subhyperdimonoids definitions, properties of hyperdimonoids and subhyperdimonoids are examined. The orginal work of us strated here we presents illustrative examples that verify soft hyperdimonoids structures, soft subhyperdimonoids, and the composition of soft hyperdimonoid homomorphisms. Overall, this comprehensive study contributes to understanding of these algebraic structures and soft set theory.