On Fuzzy Jacobsthal and Jacobsthal-Lucas Numbers
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i1.6677Keywords:
Fuzzy numbers, Jacobsthal-Lucas number, Recurrence relationsAbstract
This study examines the generalization of the classical Jacobsthal and Jacobsthal-Lucas numbers to fuzzy numbers. Using the triangular membership function and the α-cut method, a recurrence relation is given for newly defined fuzzy numbers, and formulas for the general terms of fuzzy sequences are derived. A detailed analysis of some fundamental equations satisfied by
classical number sequences is also performed for newly defined sequences using fuzzy logic. An application in decision making is presented to compare classical and fuzzy sequences.
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