ACTIONS OF SOFT GROUPS

Abstract

The soft set theory proposed by Molodtsov is a recent mathematical approach for modeling uncertainty and vagueness. The main aim of thisstudy is to introduce the concept of soft action by combining soft set theorywith the action which is an important concept in dynamical systems theory.Moreover, di§erent types of soft action are presented and some important characterizations are given. Finally, we deÖne the concept of soft symmetric groupand present the relation between the soft action and soft symmetric group, asa similar result to the classical Cayleyís Theorem.