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Generalizations of Fuzzy q-Ideals of BCI-Algebras

Author

Listed:
  • G. Muhiuddin
  • D. Al-Kadi
  • A. Mahboob
  • A. Assiry
  • Abdullah Alsubhi
  • Naeem Jan

Abstract

In this paper, we introduce the notion of ∈,∈∨κ∗,qκ-fuzzy q-ideals of BCI-algebras to propose a more general form of fuzzy q-ideals of BCI-algebras. We prove that ∈,∈∨q-fuzzy q-ideals and ∈∨κ∗,qκ,∈∨κ∗,qκ-fuzzy q-ideals are ∈,∈∨κ∗,qκ-fuzzy q-ideals, but the converse assertion is not valid and examples are given to support this. It is proved that every ∈,∈∨κ∗,qκ-fuzzy q-ideal is an ∈,∈∨κ∗,qκ-fuzzy ideal, but the converse need not be true in general and an example is provided. In addition, correspondence between ∈,∈∨κ∗,qκ-fuzzy q-ideals and q-ideals of BCI-algebras is considered.

Suggested Citation

  • G. Muhiuddin & D. Al-Kadi & A. Mahboob & A. Assiry & Abdullah Alsubhi & Naeem Jan, 2022. "Generalizations of Fuzzy q-Ideals of BCI-Algebras," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, May.
    • Handle: RePEc:hin:jjmath:2388199
    DOI: 10.1155/2022/2388199
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