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We establish, by means of a large class ofcontinuous t-representable intuitionistic fuzzy t-conorms, a factorization of an intuitionistic fuzzy relation (IFR) into aunique indifference component and a family of regular strict components. This result generalizes a previous factorizationobtained by Dimitrov (2002) with the (max,min)intuitionistic fuzzy t-conorm. We provide, for a  continuoust-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  under which a strict component of satisfies pos-transitivity and negative transitivity

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