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

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  • Xiongwei Zhang
  • Sultan Aljahdali
  • Ahmed Mostafa Khalil
  • Naeem Jan

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.

Suggested Citation

  • Xiongwei Zhang & Sultan Aljahdali & Ahmed Mostafa Khalil & Naeem Jan, 2021. "On Soft Quantum B-Algebras and Fuzzy Soft Quantum B-Algebras," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, October.
    • Handle: RePEc:hin:jjmath:3071765
    DOI: 10.1155/2021/3071765
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