Fuzzy Foldness of BCI-Commutative Ideals in BCI – Algebras

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M. A. Ahmed
M. A. Ahmed
α Sudan University of Science and Technology

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Fuzzy Foldness of BCI-Commutative Ideals in BCI – Algebras

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Abstract

This paper aims to introduce new notions of (fuzzy) n-fold BCI-commutative ideals, and (fuzzy) n-fold weak BCI-commutative ideals in BCI -algebras, and investigate several properties of foldness theory of BCI-commutative ideals in BCI -algebras. Finally, we construct some algorithms for studying the foldness theory of BCI-commutative ideals in BCI -algebras.

References

12 Cites in Article
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  2. K Iséki (1975). On ideals in BCK-algebras.
  3. K Iséki,S Tanaka (1978). An Introduction to the theory of BCK-algebra.
  4. Young Jun (2001). On <i>n</i>‐fold fuzzy implicative/commutative ideals of BCK‐algebras.
  5. Y Jun (2017). Neutrosophic subalgebras of several types In BCK /BCIalgebras.
  6. C Lele,Congxin Wu (2001). Generalization of some fuzzy ideals in BCK-algebras.
  7. Yong Liu,Jie Meng (2001). Fuzzy ideals in BCI-algebras.
  8. G Muhiuddin,Seon Kim,Young Jun (2019). Implicative 𝒩-ideals of BCK-algebras based on neutrosophic 𝒩-structures.
  9. G Muhiuddin,Y Jun (2020). Further Results of Neutrosophic subalgebras in BCK/BCI -algebras based on Neutrosophic points.
  10. J Meng,Y Jun,H Kim (1997). Fuzzy implicative ideals of BCK-algebras.
  11. O Xi (1991). Fuzzy BCK-algebras.
  12. L Zadeh (1965). Fuzzy sets.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

M. A. Ahmed. 2020. \u201cFuzzy Foldness of BCI-Commutative Ideals in BCI – Algebras\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F4): .

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Issue Cover
GJSFR Volume 20 Issue F4
Pg. 33- 56
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 08A72
Version of record

v1.2

Issue date

July 13, 2020

Language
en
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This paper aims to introduce new notions of (fuzzy) n-fold BCI-commutative ideals, and (fuzzy) n-fold weak BCI-commutative ideals in BCI -algebras, and investigate several properties of foldness theory of BCI-commutative ideals in BCI -algebras. Finally, we construct some algorithms for studying the foldness theory of BCI-commutative ideals in BCI -algebras.

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Fuzzy Foldness of BCI-Commutative Ideals in BCI – Algebras

M. A. Ahmed
M. A. Ahmed Sudan University of Science and Technology

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