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Chaos game algorithm for fuzzy iterated function systems

delete2025-01-01
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PRE
AI
M
Marcin Kolenda
F
Filip Strobin *
K
K Wiśniewski
DOI:10.1016/j.fss.2024.109173delete
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Abstract

Abstract

En 中文
We consider versions of the chaos game algorithm for generating attractors of fuzzy iterated function systems (FIFSs for short). We show that a naive approach fails in a general setting of contractive FIFSs and we present its natural modifications that work in all cases. Our approach bases on certain modifications of orbits and shadings of a given FIFS, generated by disjunctive drivers. To complete the picture, we present also a version of the deterministic algorithm.
Keywords:
Fuzzy iterated function system
Chaos game algorithm
Fuzzy sets
Disjunctive sequences

Journal

Fuzzy Sets and Systems cover
Fuzzy Sets and Systems
IF:
2.7
Papers:
7.6K
Citations:
1.5W

Organization

L
Lodz University of Technology
Scholars:
4.7K
Papers: 4.5K
Citations: 4.2K
Cited Papers

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