Abstract
A weighted intuitionistic fuzzy soft set (WIFSS) is an important generalization of intuitionistic fuzzy soft set (IFSS). In this research work, the authors define the basic binary set operations, such as union, restricted union, restricted intersection, extended intersection, restricted difference, sum, AND-product, OR-product, and some concepts on weighted intuitionistic fuzzy soft set. They also present some properties of the operations and established some fundamental results including various De Morgan's type of results in weighted intuitionistic fuzzy soft set context.
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