Abstract:
Some properties of intuitionistic fuzzy relation mappings are studied. It is proved that if a mapping f satisfies some conditions,then reflexivity, anti-reflexivity, and symmetry of intuitionistic fuzzy relations under the intuitionistic fuzzy relation mapping are invariant, respectively. It is obtained that if a mapping f satisfies some conditions, then image (resp., inverse image) of reflexive closure, symmetric closure, symmetric kernel, and anti-reflexive kernel of an intuitionistic fuzzy relation R under the intuitionistic fuzzy relation mapping f→ (resp., inverse intuitionistic fuzzy relation mapping f←) are reflexive closure, symmetric closure, symmetric kernel, and anti-reflexive kernel of the image (resp., inverse image) of R under the mapping f→ (resp., the inverse mapping f←).
