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Connectedness in fuzzy topological spaces. (English) Zbl 0684.54004
The authors introduce four types of connectedness, called \(c_ i\)- connectedness \((i=1,2,3,4)\), and studies relations between them. As such, the union of an arbitrary family of pairwise intersecting \(c_ i\)- connected \((i=1,2)\) fuzzy sets is \(c_ i\)-connected. A similar result for \(i=1,2\) is obtained by introducing the notion of overlapping fuzzy sets (same as quasicoincident fuzzy sets as defined by Pu and Liu). The paper is concluded by a study of the inner structure of components.
Reviewer: P.Eklund

MSC:
54A40 Fuzzy topology
54D05 Connected and locally connected spaces (general aspects)
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