Interpretation of Neuro-Fuzzy Systems in Models in Management and Creativity. Chaos Generation

On Fuzzy Sequences, Fixed Points and Periodicity in Iterated Fuzzy Maps

“…I discuss several cases of iterated fuzzy logic and arithmetic systems with and without defuzzification and determine conditions for fuzzy sets that are fixed points. The topic was dealt with in the literature in the early approaches by Kloeden [1] and in [2]- [9], but attracted little interest during the last two decades. However, sequences of fuzzy numbers and various generalizations constituted recently the subject of a large number of papers [10]- [21], while many applications indirectly referred to fuzzy sequences [22]- [24].…”