A proposed shadowed intuitionistic fuzzy numbers

Abstract

The methods of constructing shadowed sets have been developed to conserve the amount of uncertainty for fuzzy sets. The shadowed sets designed by such methods usually maintain one type of uncertainty for fuzzy sets. Moreover, such techniques are considered inappropriate for higher types of fuzzy sets. This paper proposes a new approach for inducing shadowed sets from intuitionistic fuzzy numbers. The proposed approach devises improved shadowed sets by conserving different uncertainty measures of intuitionistic fuzzy numbers. The new shadowed sets are more accurate in terms of preserving more aspects of uncertainty embedded in the intuitionistic fuzzy numbers and providing favorable approach for inducing shadowed sets for higher types of fuzzy sets.