Knowledge and Uncertainty in Atanassov’s Intuitionistic Fuzzy Sets (AIFSs).

Generalization of fuzzy sets are useful for modelling situations where uncertainty and ambiguity is inherent. One generalization which has been popular among researchers is the intuitionistic fuzzy sets which is a powerful tool in modelling complex systems. Fuzzy sets need membership degree for their complete description whereas intuitionistic fuzzy sets need membership degree and non membership degree for their complete description. Here we have developed a new parametric measure of knowledge for Intuitionistic fuzzy environments which takes into account both intuitionism and fuzziness associated with it. The new measure satisfies all the necessary axioms. The numerical examples ascertains the validity of the proposed measure. [ABSTRACT FROM AUTHOR]