A Note on the Fuzzy Leonardo Numbers

Elen Viviani Pereira Spreafico ¹ ( Institute of Mathematics, Federal University of Mato Grosso do Sul, Campo Grande, Brazil. )
Eudes  Antonio Costa ² ( Department of Mathematics, Federal University of Tocantins, Arraias, Brazil. )
Paula Maria Machado Cruz Catarino ³ ( Department of Mathematics, University of Trs-os-Montes e Alto Douro, Vila Real, Portugal. )

Submited date : 2024-10-11 Accepted date : 2024-12-15

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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