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Convex and strongly convex fuzzy sets. (English) Zbl 0635.04005

This paper is devoted to convex fuzzy sets. First, the author presents the properties of the support and core of convex and strongly convex fuzzy sets. Next he shows that the convex fuzzy sets in \({\mathbb{R}}\) are characterized by the piecewise monotonic functions.
Reviewer: M.Matłoka

MSC:

03E99 Set theory
03B52 Fuzzy logic; logic of vagueness
52A99 General convexity
03E72 Theory of fuzzy sets, etc.
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References:

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