An Approach to Multi-Attribute Interval-Valued Intuitionistic Fuzzy Decision Making Based on a Family of New Ranking Functions
The ranking of interval-valued intuitionistic fuzzy numbers (IVIFNs) plays a key role in real life problems involving imprecise information, in particular, multicriteria fuzzy decision-making problems. Existing ranking methods have some disadvantages and may give rise to incorrect result even in some comparable IVIFNs. In this paper, we propose a family of new ranking functions for ranking IVIFNs. Various illustrative examples demonstrate the superiorities of the new ranking functions compared with the existing methods.
Keywords: Multicriteria fuzzy decision-making, Interval-valued intuitionistic fuzzy set, ranking function.