Abstract

In 1999, Molodtsov developed the theory of soft sets involving enough parameters, which is relatively free from complexities when dealing with uncertainties. Most of the applications of soft sets towards algebraic structures stress on associativity of the binary operations (e.g., semigroups, groups, modules and rings etc.). In this study, we aim to apply Molodtsov's notion of soft sets to a class of non-associative algebraic structures and derive various related properties.

Key words: Ordered, Abel-Grassman's groupoid (AG-groupoid), soft sets, soft ordered AG-groupoids.