量子理论中模糊软子结构的一种新表征

S. M. Qurashi, Muhammad Gulzar, Rani Sumaira Kanwal, D. Akter, Muhammad Shawaiz Safdar
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引用次数: 0

摘要

本文利用一个代数结构量子,定义了模糊软子结构的概念,作为模糊子结构在量子中的推广。这些模糊软子结构包括模糊软子量子、模糊软理想、模糊软素数理想、模糊软半素数理想和模糊软初级理想。此外,还介绍了模糊软子结构在量子中的不同表征。进一步,我们扩展了这一思想,研究了对于量子中的每一个模糊软子结构,在量子中存在一个α-软子结构。这些模糊软子量子和模糊软理想分别以它们的水平子量子和理想来表征。最后讨论了量子同态下模糊软子结构的模糊软图像和模糊软逆图像。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory
In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale. These fuzzy soft substructures include fuzzy soft subquantales, fuzzy soft ideals, fuzzy soft prime ideals, fuzzy soft semiprime ideals, and fuzzy soft primary ideals. Furthermore, different characterizations of fuzzy soft substructures in quantales are introduced. Moreover, we extend this ideology to investigate that for each fuzzy soft substructure in quantale, there exists an α-soft substructure in quantales. These fuzzy soft subquantales and fuzzy soft ideals are characterized by their level subquantales and ideals, respectively. Finally, fuzzy soft image and fuzzy soft inverse image of fuzzy soft substructures under quantale homomorphism in quantale are discussed.
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CiteScore
2.80
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