研究了直觉模糊关系映射及其性质.给出了直觉模糊关系映射及逆直觉模糊关系映射的概念;证明了当映射f满足一定条件时,直觉模糊关系的自反性、逆自反性和对称性在直觉模糊关系映射及逆直觉模糊关系映射下具有不变性;得到当映射f满足一定条件时,直觉模糊关系R的自反闭包、对称闭包、对称核及逆自反核在直觉模糊关系映射f→下的像(相应的,逆直觉模糊关系映射f←下的原像)分别是R在此映射f→下的像(相应的,此逆映射f←下的原像)的自反闭包、对称闭包、对称核及逆自反核.
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←).