Operators on intuitionistic fuzzy relations

摘要

In the paper properties of intuitionistic fuzzy relations are considered and preservation of some properties by operations, including lattice operations, composition and related operators are studied. Properties of intuitionistic fuzzy relations, namely reflexivity, irreflexivity, connectedness, symmetry, antisymmetry, perfect antisymmetry and transitivity are considered. Moreover, the authors study assumptions under which intuitionistic fuzzy preference relations and related operators fulfil these properties.