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Research Paper | Mathematics | India | Volume 12 Issue 7, July 2023 | Rating: 6 / 10
On Convexity of Fuzzy Sets and Fuzzy Relations
Trupti Mohite
Abstract: This paper explores the convexity of fuzzy sets and fuzzy relations defined on the set of real numbers and their cartesian product respectively. Using the concept of ?-cut, we establish that a fuzzy set is convex if and only if the ?-cut of the fuzzy set is convex. The paper further extends this concept to fuzzy relations. The findings have significant implications for the application of convexity in various fields.
Keywords: Fuzzy sets, Convex fuzzy sets, Fuzzy relations, Convex fuzzy relations, ?-cuts
Edition: Volume 12 Issue 7, July 2023
Pages: 758 - 761