Complex Intuitionistic Fuzzy Soft Sets

Abstract

This paper presents a new concept of Complex Intuitionistic Fuzzy Soft Set (CIFSS) which is generalized from the innovative concept of a soft complex fuzzy set by adding the non-membership term to the definition of Soft complex fuzzy set. The novelty of complex intuitionistic soft set lies in its ability for membership and non-membership functions to achieve more range of values. The ranges of values are extended to the unit circle in complex plane for both membership and non-membership functions instead of [0, 1] as in the conventional intuitionistic fuzzy functions. We define basic operations namely complement, union, and intersection on complex intuitionistic fuzzy soft set. Properties of these operations are derived.