Effective Fuzzy Parameterized Soft Set with Application in Decision Making

In this paper, we introduce the concept of effective fuzzy parameterized soft set in the framework of effective set; where the decision on the selection of any element in the power set of the universal set is influenced by the effects the elements in the effective set has over each parameter. In this context, we define some basic set operations and consider some algebraic properties by proving the De-morgan’s laws and the distributive laws. Lastly, we develop a new algorithm and apply the concept to efficiently solve a hypothetical case involving evaluation process