产品直觉模糊分形空间中的Hutchinson-Barnsley理论研究

IF 1.3 Q2 MATHEMATICS, APPLIED

Fuzzy Information and Engineering Pub Date : 2023-09-01 DOI:10.26599/fie.2023.9270018

Mathavan Priya, Ramasamy Uthayakumar

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引用次数: 0

摘要

本文借助迭代函数系统构建了积直觉模糊分形空间的经典Hutchinson-Barnsley理论，其中包含了有限个数的直觉模糊b压缩和直觉模糊Edelstein压缩。通过证明Hutchinson-Barnsley算子是直觉模糊b -缩和直觉模糊Edelstein缩，证明了一个不动点定理。为了表明本文的主要目的，构造了Hausdorff积直觉模糊度量空间，然后定义了在直觉模糊b -缩和直觉模糊Edelstein缩意义上的完全紧空间上的积直觉模糊度量空间的概念。

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A Study on Hutchinson-Barnsley Theory in Product Intuitionistic Fuzzy Fractal Space

This work constitutes classical Hutchinson-Barnsley theory on the product intuitionistic fuzzy fractal space with the aid of iterated function system, in which a finite number of intuitionistic fuzzy B-contractions and intuitionistic fuzzy Edelstein contractions are enclosed. A fixed point theorem is exhibited by proving that the Hutchinson-Barnsley operator is an intuitionistic fuzzy B-contraction and intuitionistic fuzzy Edelstein contraction. To show the primary goal of the article, the Hausdorff product intuitionistic fuzzy metric space is constructed, then the notion of product intuitionistic fuzzy metric space on complete and compact spaces in the sense of intuitionistic fuzzy B-contraction and the intuitionistic fuzzy Edelstein contraction are defined.

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来源期刊

Fuzzy Information and Engineering Mathematics-Logic

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

40 weeks

期刊介绍： Fuzzy Information and Engineering—An International Journal wants to provide a unified communication platform for researchers in a wide area of topics from pure and applied mathematics, computer science, engineering, and other related fields. While also accepting fundamental work, the journal focuses on applications. Research papers, short communications, and reviews are welcome. Technical topics within the scope include: (1) Fuzzy Information a. Fuzzy information theory and information systems b. Fuzzy clustering and classification c. Fuzzy information processing d. Hardware and software co-design e. Fuzzy computer f. Fuzzy database and data mining g. Fuzzy image processing and pattern recognition h. Fuzzy information granulation i. Knowledge acquisition and representation in fuzzy information (2) Fuzzy Sets and Systems a. Fuzzy sets b. Fuzzy analysis c. Fuzzy topology and fuzzy mapping d. Fuzzy equation e. Fuzzy programming and optimal f. Fuzzy probability and statistic g. Fuzzy logic and algebra h. General systems i. Fuzzy socioeconomic system j. Fuzzy decision support system k. Fuzzy expert system (3) Soft Computing a. Soft computing theory and foundation b. Nerve cell algorithms c. Genetic algorithms d. Fuzzy approximation algorithms e. Computing with words and Quantum computation (4) Fuzzy Engineering a. Fuzzy control b. Fuzzy system engineering c. Fuzzy knowledge engineering d. Fuzzy management engineering e. Fuzzy design f. Fuzzy industrial engineering g. Fuzzy system modeling (5) Fuzzy Operations Research [...] (6) Artificial Intelligence [...] (7) Others [...]