Conjunction and Disjunction Based Fuzzy Interval Orders in Aggregation Process

This contribution deals with fuzzy interval orders which are defined by the use of generalized properties, the 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 the Ferrers property are generalized and applied for fuzzy interval orders.