Application of operation approach in fuzzy bitopological spaces

IF 3.1 3区计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Soft Computing Pub Date : 2024-07-27 DOI:10.1007/s00500-024-09817-6

Satabdi Ray, Birojit Das, Baby Bhattacharya, Ómer Kişi, Carlos Granados

引用次数: 0

Abstract

The central objective of this treatise is to introduce the concept \((j,k)^*_\gamma \)–operation in fuzzy bitopological spaces. The same operation is applied to study the concept of \((j,k)^*\)-fuzzy open sets in a given fuzzy bitopological space. Existence of all the conceptions are shown by considering different operations. Various properties of the newly introduced notion are presented and justifications are provided by placing suitable examples. Furthermore, minimality of fuzzy open sets are also being studied up to some extent. Finally, results on locally finiteness of a given fuzzy bitopological space are established via operation approach.

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模糊位ological空间中运算方法的应用

本论文的中心目标是介绍模糊位ological空间中的\((j,k)^*_\gamma \)操作概念。同样的运算被应用于研究给定模糊位ological空间中的（(j,k)^*\）-模糊开集的概念。通过考虑不同的操作，证明了所有概念的存在。提出了新引入概念的各种属性，并通过适当的例子给出了理由。此外，对模糊开集的最小性也进行了一定程度的研究。最后，通过运算方法建立了给定模糊位形空间的局部有限性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Soft Computing 工程技术-计算机：跨学科应用

CiteScore

8.10

自引率

9.80%

发文量

927

审稿时长

7.3 months

期刊介绍： Soft Computing is dedicated to system solutions based on soft computing techniques. It provides rapid dissemination of important results in soft computing technologies, a fusion of research in evolutionary algorithms and genetic programming, neural science and neural net systems, fuzzy set theory and fuzzy systems, and chaos theory and chaotic systems. Soft Computing encourages the integration of soft computing techniques and tools into both everyday and advanced applications. By linking the ideas and techniques of soft computing with other disciplines, the journal serves as a unifying platform that fosters comparisons, extensions, and new applications. As a result, the journal is an international forum for all scientists and engineers engaged in research and development in this fast growing field.