A complete ranking of incomplete interval information

The information received from a source, represented by an information system, involves quantitative, qualitative and incomplete information. Such incomplete information are fed into the intelligent system for enhancing accuracy using interval-valued intuitionistic fuzzy numbers (IVIFN). Ranking of IVIFN is an important component of any incomplete interval information system. But existing techniques do not give complete information about alternatives in some cases. In this paper, a new method for complete ranking of incomplete interval information using axiomatic set of membership, non membership, vague and precise score functions to IVIFN is proposed and compared with existing techniques using an illustrative example.