Geodesic
On the disjoint sums of M-fuzzifying convex spaces
Filomat, Tome 35 (2021) no. 14, p. 4675

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DOI

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 (S 0 , S 1 , S 2 , S 3 , S 4). Finally, we show that every factor space is M-fuzzifying JHC iff the corresponding disjoint sum space is JHC
DOI : 10.2298/FIL2114675D
Classification : 03E72, 52A01, 54A40
Keywords: M-fuzzifying convex space, disjoint sum of M-fuzzifying convex spaces, arity, separability, additivity 
Yan Yan Dong; Fu-Gui Shi. On the disjoint sums of M-fuzzifying convex spaces. Filomat, Tome 35 (2021) no. 14, p. 4675 . doi: 10.2298/FIL2114675D
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     author = {Yan Yan Dong and Fu-Gui Shi},
     title = {On the disjoint sums of {M-fuzzifying} convex spaces},
     journal = {Filomat},
     pages = {4675 },
     year = {2021},
     volume = {35},
     number = {14},
     doi = {10.2298/FIL2114675D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114675D/}
}
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