Connectedness in fuzzy topological spaces.

*(English)*Zbl 0684.54004The 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

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\textit{N. Ajmal} and \textit{J. K. Kohli}, Fuzzy Sets Syst. 31, No. 3, 369--388 (1989; Zbl 0684.54004)

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##### References:

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