A Note on the Fuzzy Leonardo Numbers
الموضوعات : Transactions on Fuzzy Sets and Systems
Elen Viviani Pereira Spreafico
1
,
Eudes Antonio Costa
2
,
Paula Maria Machado Cruz Catarino
3
1 - Institute of Mathematics, Federal University of Mato Grosso do Sul, Campo Grande, Brazil.
2 - Department of Mathematics, Federal University of Tocantins, Arraias, Brazil.
3 - Department of Mathematics, University of Trs-os-Montes e Alto Douro, Vila Real, Portugal.
الکلمات المفتاحية: Triangular fuzzy numbers, Fuzzy Fibonacci numbers, Fuzzy Lucas numbers, Leonardo numbers, Algebraic properties, Identities, Sum identities.,
ملخص المقالة :
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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