On the Generalization of Soft Dimonoids

Year 2025, Volume: 15 Issue: 2, 692 - 699, 01.06.2025

Gülay Oğuz

https://doi.org/10.21597/jist.1544594

Abstract

Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences. Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models. Soft sets have reached a wide potential by being applied to various areas. In this study, soft hyperdimonoids are introduced by presenting a soft approach to the concept of hyperdimomoids, which is a generalisation of dimonoids. The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

Keywords

soft hyperdimonoid , soft subhyperdimonoid. , soft sets hyperdiominds

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