关于凸模糊锥的定义

给出了凸模糊锥的两种定义方法.首先,应用模糊点与模糊集的邻属关系,给出了( β, α) 凸模糊锥的定义.得到了三种有意义的凸模糊锥,即(∈,∈) 凸模糊锥,(∈,∈∨q) 凸模糊锥和(∈,∈∨q) 凸模糊锥.其次,利用合意空间理论,给出了C 凸模糊锥的定义.证明了(∈,∈) 凸模糊锥是C 凸模糊锥,C 凸模糊锥是基于t 范上的凸模糊锥,并且C 凸模糊锥同构于由经典凸锥生成的C 凸模糊锥.

On the Definition of the Convex Fuzzy Cone

In this paper, we present two approaches to define convex fuzzy cone. First, by the use of the relations between fuzzy points and fuzzy subsets, definitions of (,)-convex fuzzy cones are given. We have shown that the acceptable non-trivial concepts obtained in this manner are the (∈,∈)-convex fuzzy cone, (∈,∈∨q)-convex fuzzy cone and (∈,∈,∨-convex fuzzy cone. Second, based on the theory of a consensus space presented by Hisakichi Suzuki, concept of C-convex fuzzy cone is acquired. It is pointed that (∈,∈)-...