Intuitionistic Fuzzy Fractals on Complete and Compact Spaces

被引：4
|
作者：
Easwaramoorthy, D. [1 ]
Uthayakumar, R. [1 ]
机构：
[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Dindigul 624302, Tamil Nadu, India
来源：
CONTROL, COMPUTATION AND INFORMATION SYSTEMS | 2011年 / 140卷
关键词：
Fractal Analysis; Iterated Function System; Intuitionistic Fuzzy Metric Space; Contraction; Complete; Compact; Precompact; METRIC-SPACES; SETS;
D O I：
10.1007/978-3-642-19263-0_11
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We develop the Hutchinson-Barnsley theory for generating the intuitionistic fuzzy fractals through iterated function system, which consists of finite number of intuitionistic fuzzy contractive mappings on intuitionistic fuzzy metric space. For that, we prove the existence and uniqueness of fractals in a complete intuitionistic fuzzy metric space and a compact intuitionistic fuzzy metric space by using the intuitionistic fuzzy Banach contraction theorem and the intuitionistic fuzzy Edelstein contraction theorem respectively.
引用
收藏
页码：89 / 96
页数：8
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