A Note on the Fuzzy Leonardo Numbers

Subject Areas : Transactions on Fuzzy Sets and Systems

Elen Viviani Pereira Spreafico ¹ , Eudes Antonio Costa ² , Paula Maria Machado Cruz Catarino ³

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Received: 2024-10-11 Accepted : 2024-12-15 Published : 2025-02-13

Keywords: Triangular fuzzy numbers, Fuzzy Fibonacci numbers, Fuzzy Lucas numbers, Leonardo numbers, Algebraic properties, Identities, Sum identities.,

Abstract :

In this work, we define a new sequence denominated by fuzzy Leonardo numbers. Some algebraic properties of this new sequence are studied and several identities are established. Moreover, the relations between the fuzzy Fibonacci and fuzzy Lucas numbers are explored, and several results are given. In addition, some sums involving fuzzy Leonardo numbers are provided.

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