In this paper, we introduce the notion of fuzzy ideals in fuzzy supra topological spaces. The concept of a fuzzy s-local function is also introduced here by utilizing the s-neighbourhood structure for a fuzzy supra topological space. These concepts are discussed with a view to find new fuzzy supra topologies from the original one. The basic structure, especially a basis for such generated fuzzy supra topologies, and several relations between different fuzzy ideals and fuzzy supra topologies are also studied here. Moreover, we introduce a fuzzy set operator <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><msub><mi mathvariant="normal">Ψ</mi><mrow><mi>S</mi></mrow></msub></math> and study its properties. Finally, we introduce some sets of fuzzy ideal supra topological spaces (fuzzy <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"><mi>∗</mi></math> -supra dense-in-itself sets, fuzzy <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"><msup><mrow><mi>S</mi></mrow><mrow><mi>∗</mi></mrow></msup></math> -supra closedsets, fuzzy <math xmlns="http://www.w3.org/1998/Math/MathML" id="M4"><mi>∗</mi></math> -supra perfect sets, fuzzy regular-I-supra closedsets, fuzzy-I-supra opensets, fuzzy semi-I-supra opensets, fuzzy pre-I-supra opensets, fuzzy <math xmlns="http://www.w3.org/1998/Math/MathML" id="M5"><mi>α</mi></math> -I-supra opensets, and fuzzy <math xmlns="http://www.w3.org/1998/Math/MathML" id="M6"><mi>β</mi></math> -I-supra opensets) and study some characteristics of these sets, and then, we introduce some fuzzy ideal supra continuous functions.

Fadhil Abbas

Advances in Fuzzy Systems

Advances in Fuzzy Systems is an international journal which aims to provide a forum for original research articles in the theory and applications of fuzzy subsets and systems. The goal of the journal is to help promote the advances in the development and practice of fuzzy system technologies in the areas of engineering, management, medical, economic, environmental, and societal problems. Advances in Fuzzy Systems is intended to provide a rapid communication of fully refereed papers through the open access publication model, which will enable the journal to reach a far greater audience than traditional subscription-based journals.

Advances in Fuzzy Systems is an international journal that aims to provide a forum for original research articles in the theory and applications of fuzzy subsets and systems. The journal's goal is to promote the development and practice of fuzzy system technologies in various fields, including engineering, management, medicine, economics, environmental issues, and societal problems. Advances in Fuzzy Systems is designed to facilitate the rapid communication of fully refereed papers through an open access publication model, enabling the journal to reach a much wider audience than traditional subscription-based journals.

《Advances in Fuzzy Systems》是一本国际期刊，旨在为模糊子集和系统的理论与应用提供原创研究文章的论坛。期刊的目标是促进模糊系统技术在工程、管理、医学、经济、环境和社会问题等领域的发展与实践。《Advances in Fuzzy Systems》旨在通过开放获取出版模式快速传播经过严格审稿的论文，使期刊能够接触到比传统订阅制期刊更广泛的受众。

Fuzzy Ideal Supra Topological Spaces

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Category	Quartile
MATHEMATICS, APPLIED	2