Abstract
As a result of the great development in all fields of life that created several problems which need to be solved, so it became necessary for the scientists to reconsider the numbers theory and develop it accordingly to solve these problems at a time a new science appeared that is of soft set theory which was regarded as important tool to solve a lot of problem in different domains in economics, engineering and medicine and others. In this paper, we present new of soft set which is -soft, -soft and -soft sets in soft ideal spaces and study their properties. We obtain characterization for soft compatible ideal via -soft sets, also, a generalized soft topology via soft ideal is finer than by using -soft sets.
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