Research and application of fuzzy λ-quotient space
Jiayang Wang · Computer Engineering and Applications Journal · 2011
This paper revises two equivalent narratives in the fuzzy quotient space and expands them into three.Then it refines the fuzzy λ-quotient space by making use of the distance function of quotient space X(λ) ,which more directly inherits the fuzzy quotient space theory.The information quantity of fuzzy-rough probability approximation space is extended to the one of fuzzy λ-quotient space.And this paper gives the reduction rules of hybrid decision system based on fuzzy λ-quotient space so that fuzzy λ-quotient space can get the same reduction results as fuzzy-rough set.These rules solve the problems that in a traditional rough set model direct discretization of numerical attribute usually brings information loss and fuzzy attributes are not taken into consideration.