Pseudo strong equality indices for interval-valued fuzzy sets with respect to admissible orders

摘要

The introduction of admissible orders for intervals, i.e. linear orders which refine the partial orders, has stirred up a novel interest in the redefinition of many theoretical concepts which require an order for their appropriate definition. In this study, we introduce pseudo strong equality indices for interval-valued fuzzy sets. We also present a construction method of these indices in terms of interval-valued implications, interval-valued negations and interval-valued aggregation functions. The main novelty of these concepts is that we only consider admissible orders in order to avoid the loss of information resulting from the incomparability of some elements in the usual partial order.