A THEORY OF FUZZY SETS BASED ON CUT SET WITH PARAMETERS
2 Citations•2016•
Wang Fengxia, Zhang Cheng, Yuan Xue-hai
International journal of pure and applied mathematics
This paper introduces the unification of these four cut sets as one cut set with parameters, and establishes the appropriate decomposition theorem and representation theorem of fuzzy sets.
Abstract
In this paper, we first discuss the relationships among the existing four cut sets, and introduce the unification of these four cut sets as one cut set with parameters. Then, we give out the properties of the cut set with parameters, and establish the appropriate decomposition theorem and representation theorem of fuzzy sets.