(α,β)-CUT of intuitionistic fuzzy normed ideals

Abed Alhaleem, Nour; Ahmad, Abd Ghafur

doi:10.22105/jfea.2023.419757.1305

Document Type : Research Paper

Authors

Universiti Kebangsaan Malaysia,UKM Bangi, Selangor, Malaysia.

https://doi.org/10.22105/jfea.2023.419757.1305

Abstract

In this paper, the (α,β)-level sets where α and β are elements in the interval [0,1] is introduced. Several related properties for (α,β)-cut of intuitionistic fuzzy normed ideals in a normed ring (NR) will be studied and proven. Further, for any two normed rings NR,NR^' with a mapping f:NR → NR^', a relation between the intuitionistic fuzzy normed ideal I of NR and the intuitionistic fuzzy normed ideal f(I) (the image of I) of NR^' will been obtained with the support of their (α,β)-level subsets.

Keywords

Main Subjects

Intuitionistic fuzzy sets and their variants

References

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Journal of Fuzzy Extension and Applications

(α,β)-CUT of intuitionistic fuzzy normed ideals

References

References

Volume 4, Issue 4
October 2023
Pages 271-280

(α,β)-CUT of intuitionistic fuzzy normed ideals

References

References

Volume 4, Issue 4October 2023Pages 271-280

Volume 4, Issue 4
October 2023
Pages 271-280