Open AccessOn the disjoint sums of M-fuzzifying convex spaces
Author(s) -
Dong Yan,
Fu-Gui Shi
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2114675d
Subject(s) - arity , mathematics , disjoint sets , convex hull , regular polygon , space (punctuation) , combinatorics , discrete mathematics , linguistics , philosophy , geometry
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.