Fuzzy Fibonacci and Fuzzy Lucas Numbers with their Properties

Abstract

In this paper, we combine the important concepts which are Fuzzy numbers and  Fibonacci, Lucas numbers. We introduce the concepts of Fuzzy Fibonacci and Fuzzy Lucas numbers by this combination. By this motivation, we provide a bridge between the areas Fuzzy sets and number theory. Afterwards, we generalize their well-known properties by the definitions of Fuzzy Fibonacci and Lucas numbers.