Interval-valued intuitionistic fuzzy coimplications

The paper presents a general expression of an interval-valued intuitionistic fuzzy coimplication generated by interval-valued aggregation function acting on a pair of mutual dual functions, named interval-valued fuzzy implications and coimplications. We analyse under which conditions such connectives preserve the main properties of intuitionistic fuzzy implications. In addition, interpretations of conditional fuzzy rules based on interval-valued fuzzy logic and intuitionistic fuzzy logic are considered.