This final project discusses a new generalization of Fibonacci sequence called the Fibonacci-like sequence. Furthermore it discusses the relation between Fibonacci-like sequence and k-Lucas sequence by introducing special matrix. By using the matrix, Cassini’s identity for Fibonacci-like sequence, and some relations between Fibonacci-like sequence and k-Lucas sequence are obtained. Then …
This final project discusses application of determinant matrix whose elements are triangular fuzzy number in the form of parameters. At the beginning it is shown that the properties that apply to real number also apply to triangular fuzzy number. Furthermore, it is shown that some matrix properties for real number also apply to fuzzy matrix. Development of triangular fuzzy number concept b…
This final project discusses the proof for q-analogue of the Riordan representation of the q-Pascal matrices and q-analogue of the Riordan representation for its invers q-Pascal matrix. This project is completed by using binary operations ∗q for q-Pascal matrices and binary operations ∗1=q for invers q-Pascal matrix. This final project is a review of some parts of article Tu˘glu et al.…