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(α,β)-CUT of Intuitionistic Fuzzy Normed Ideals.
- Source :
- Journal of Fuzzy Extension & Applications (JFEA); Oct2023, Vol. 4 Issue 4, p271-280, 10p
- Publication Year :
- 2023
-
Abstract
- The main aim of this paper is to introduce the notion of (α,β)-level sets with respect to intuitionistic fuzzy normed ideals. We extend the notion of intuitionistic fuzzy normed ideals to the (α,β)-level subsets where α and β are elements in the interval[0,1]. 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 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 be obtained with the support of their (α,β)-level subsets. [ABSTRACT FROM AUTHOR]
- Subjects :
- FUZZY algorithms
BOREL subsets
CARTOGRAPHY
RELIGIOUS idols
QUALITY (Aesthetics)
Subjects
Details
- Language :
- English
- ISSN :
- 27831442
- Volume :
- 4
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Fuzzy Extension & Applications (JFEA)
- Publication Type :
- Academic Journal
- Accession number :
- 175477818
- Full Text :
- https://doi.org/10.22105/jfea.2023.419757.1305