全粒度粗糙集属性约简

全粒度粗糙集是一种动静结合的粗糙集模型,在一定程度上可以表示人类认识的复杂性、多样性和不确定性.文中定义概念的全粒度属性约简,完善全粒度粗糙集属性约简的定义.探索概念的全粒度属性约简、全粒度绝对约简及全粒度Pawlak约简的性质,指明这些属性约简之间的关系,有助于全粒度属性约简的实际应用及启发式算法的产生.

Attribute Reduction for Entire-Granulation Rough Sets

Entire-granulation rough sets is a kind of dynamic and static combining rough set model. They can partly express complexity,diversity and uncertainty of human cognition. The entire-granulation attribute reducts for a single concept are defined and the definitions of attribute reducts for entire-granulation rough sets are completed. The properties of entire-granulation attribute reducts, including entire-granulation attribute reducts for a single concept, entire-granulation absolute attribute reducts and entire-granulation Pawlak reducts, are investigated.Moreover, the relationships among various kinds of entire-granulation attribute reducts are studied. The obtained results contribute to practical applications and the generation of heuristic algorithms of entire-granulation attribute reducts.