A Binary Intuitionistic Fuzzy Relation : Some New Results, a General Factorization, and Two Properties of Strict Components

Abstract EN

We establish, by means of a large class of continuous t-representable intuitionistic fuzzy t-conorms, a factorization of an intuitionistic fuzzy relation (IFR) into a unique indifference component and a family of regular strict components.

This result generalizes a previous factorization obtained by Dimitrov (2002) with the (max,min) intuitionistic fuzzy t-conorm.

We provide, for a continuous t-representable intuitionistic fuzzy t-norm ?, a characterization of the ?-transitivity of an IFR.

This enables us to determine necessary and sufficient conditions on a ?-transitive IFR R under which a strict component of R satisfies pos-transitivity and negative transitivity.