On Soft Quantum B-Algebras and Fuzzy Soft Quantum B-Algebras

Xiongwei Zhang, Sultan Aljahdali, Ahmed Mostafa Khalil and Naeem Jan

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: This paper aims to make a combination between the quantum B-algebras (briefly, X-As) and two interesting theories (e.g., soft set theory and fuzzy soft set theory). Firstly, we propose the novel notions of soft quantum B-algebras (briefly, Sâ„šB-As), a soft deductive system of â„šB-As, and deducible soft quantum B-algebras (briefly, DSâ„šB-As). Then, we discuss the relationship between Sâ„šB-As and DSâ„šB-As. Furthermore, we investigate the union and intersection operations of DSâ„šB-As. Secondly, we introduce the notions of a fuzzy soft quantum B-algebras (briefly, FSâ„šB-As), a fuzzy soft deductive system of â„šB-As, and present some characterizations of FSâ„šB-As, along with several examples. Finally, we explain the basic properties of homomorphism image of FSâ„šB-As.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3071765

DOI: 10.1155/2021/3071765

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