Conjunction and disjunction based fuzzy interval orders in aggregation process

Abstract

This contribution deals with fuzzy interval orders which are defined by the use of generalized properties, Ferrers property and total connectedness,
of fuzzy relations. Definitions of the generalized properties involve binary operations including t-norms and t-conorms and, more generally, fuzzy conjunctions and disjunctions. In particular, conditions for $n$-argument
functions to preserve fuzzy interval orders during aggregation process are presented. Moreover, some existing results on Ferrers property are generalized and applied for fuzzy interval orders.