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We introduce the concept of complexintuitionistic fuzzy soft sets which is parametric in nature. However, the theoryof complex fuzzy sets and complex intuitionistic fuzzy sets are independent of theparametrization tools. Some real life problems, for example, multicriteria decision makingproblems, involve the parametrization tools. In order to get their new entropies,some important properties and operations on the complex intuitionistic fuzzy softsets have also been discussed. On the basis of some well-known distance measures,some new distance measures for the complex intuitionistic fuzzy soft sets havealso been obtained. Further, we have established correspondence between theproposed entropies and the distance measures of complex intuitionistic fuzzy softsets.

On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies