Soft Intersection Interior Ideals, Quasi-ideals and Generalized Bi-Ideals: A New Approach to Semigroup Theory II

The complexities of modeling uncertain data in economics, engineering, environmental science, sociology, medical science and many other fields can not be successfully dealt with by classical methods. While probability theory, fuzzy set theory,rough set theory, vague set theory and the interval mathematics are useful approaches to describing uncertainty, each of these theories has its inherent difficulties. Consequently, Molodtsov [1] proposed a completely new approach for modeling vagueness and uncertainty, which is called soft set theory. Since then, especially soft set operations, have undergone tremendous studies. Maji et al. [2] presented some definitions on soft sets and Ali et al. [3] introduced several operations of soft sets and Sezgin and Atagün