Yalçınkaya, İbrahimTollu, Durhasan TurgutKhastan, AlirezaAhmad, HijazBotmart, Thongchai2023-05-302023-05-302023Yalçınkaya, İ., Tollu, D. T., Khastan, A., Ahmad, H., Botmart, T. (2023). Qualitative behavior of a higher-order fuzzy difference equation. AIMS Mathematics, 8, 3, 6309-6322.2473-6988http://dx.doi.org/10.3934/math.2023319https://hdl.handle.net/20.500.12452/9748MakaleWOS:000956767600002In this paper, we investigate the qualitative behavior of the fuzzy difference equation zn +1 = Azn-s/B + C Pi(s)(i=0) z(n-i) where n is an element of N-0 = N boolean OR{0},(z(n)) is a sequence of positive fuzzy numbers, A; B; C and the initial conditions z j; j = 0; 1, ..., s are positive fuzzy numbers and s is a positive integer. Moreover, two examples are given to verify the e ffectiveness of the results obtained.eninfo:eu-repo/semantics/openAccessFuzzy Difference EquationsExistence of Positive SolutionsBoundednessConvergenceQualitative behavior of a higher-order fuzzy difference equationArticle8363096322Q2WOS:00095676760000210.3934/math.2023319