Abstract
In this communication, we present the necessary and sufficient conditions under which the copula-based interval-valued function AC is increasing with respect to an order generated by an admissible pair of aggregation functions. This result provides a partial answer to an open problem posed by Gupta et al. in “Novel construction methods of interval-valued fuzzy negations and aggregation functions based on admissible orders” published in Fuzzy Sets and Systems 473 (2023). In particular, we show that the function AC is increasing with respect to the (α,β)-order only when α=0.5 and C is the product copula.
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