On some new operations in soft set theory

The Application of Intuitionistic Fuzzy Soft Opeations to Medical Diagnosis

“…Soft set theory has been successfully applied in many fields such as functions smoothness, data analysis, forecasting, game theory, theory of measurement and so on. In recent years, soft set theory has drawn considerable attention [4][5][6][7][8]. By integrating soft set theory with other classical mathematical models, a lot of extensions of soft set model have also been made [9][10][11], fuzzy soft sets, generalized fuzzy soft sets [12], interval-valued fuzzy soft sets, vague soft sets [13], and intuitionistic fuzzy soft sets are all the models of soft set.…”

Fuzzy Ideals And Fuzzy Soft Ideals Of Bch-algebras

“…Kong et al [9] further studied the problem of the reduction of soft sets and fuzzy soft sets by introducing a definition for normal parameter reduction. Maji et al [10] defined and studied several operations on soft sets, and Ali et al [1] gave some new notions such as restricted intersection, restricted union, restricted difference, and extended intersection of soft sets. Jun [5] applied Molodtsovs notion of soft sets to the theory of BCK/BCI-algebras and introduced the notion of soft BCK/BCI-algebras and soft subalgebras and then investigated their basic properties.…”

On generalized soft equality and soft Lattice structure

“…They defined equality of two soft sets, subset and super set of soft sets, complement of soft sets, null soft set and absolute soft set with examples. Unfortunately, several basic properties in [14] do not hold true in general, these have been pointed out and improved by Yang [26], Ali et al [2], and Li [16]. Ali et al [2] defined some restricted intersection and union, the restricted difference and complement of a soft set.…”

“…Unfortunately, several basic properties in [14] do not hold true in general, these have been pointed out and improved by Yang [26], Ali et al [2], and Li [16]. Ali et al [2] defined some restricted intersection and union, the restricted difference and complement of a soft set. Zhu et al [30] redefined the intersection, complement, and difference of soft sets and investigated the algebraic properties of these operations along with a known union operation.…”