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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. [ABSTRACT FROM AUTHOR]

One of the applications of soft sets is soft local function where researchers [14] independently presented the concept of soft local function in 2014 using soft set and studied many of their properties. In this paper will offer a new type of soft local functions using soft Y-operator and examine several properties and their relationship with the other soft functions [ABSTRACT FROM AUTHOR]

In 1999 Molodtsov [1] reach to represent a new type of mathematical concepts be called them (Soft Set) that became later on the focus of attention to many researchers in several different fields like medical, engineering, Human and other studies. In the other hand in field of pure mathematical science considered as a mathematical tool to express unconfirmed cases. After that in 2014 [14] soft local function has been defined on these sets with study most important features and configure a new topology that is called soft ideal topology. The aim from this paper is to present the definition of semi soft local function and discuss some features on it in order to configure a new topology with study the important features of it and also present the concept of soft compatible and study the most features also relation it with semi soft local function. [ABSTRACT FROM AUTHOR]