Affiliation:
1. Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China
Abstract
In this paper, we first extend the concept of the arity in crisp convex
spaces to the case of fuzzification and give some related properties. From
the view of arity and hull operator, we study the relations between the
disjoint sum of M-fuzzifying convex spaces and its factor spaces. We also
examine the additivity of the degree of separability (S0,S1,S2,S3,S4).
Finally, we show that every factor space is M-fuzzifying JHC iff the
corresponding disjoint sum space is JHC.
Publisher
National Library of Serbia