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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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摘要

摘要

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.
Keyword:
Fuzzy iterated function system
Chaos game algorithm
Fuzzy sets
Disjunctive sequences

期刊

Fuzzy Sets and Systems 封面图
Fuzzy Sets and Systems
IF:
2.7
论文数:
7.6K
被引数:
1.5W

机构

L
Lodz University of Technology
学者数:
4.7K
论文数: 4.5K
被引数: 4.2K
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