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Intuitionistic fuzzy n -normed algebra and continuous product
- Source :
- Proyecciones (Antofagasta), Volume: 37, Issue: 1, Pages: 68-83, Published: MAR 2018, Proyecciones (Antofagasta) v.37 n.1 2018, SciELO Chile, CONICYT Chile, instacron:CONICYT
- Publication Year :
- 2018
- Publisher :
- Universidad Católica del Norte, Departamento de Matemáticas, 2018.
-
Abstract
- In this paper we extend the notion of intuitionistic fuzzy 𝘯-normed linear space (IFnNLS) to define an intuitionistic fuzzy n-normed algebra (IFnNA). We give a necessary and sufficient condition for an IFnNA to be with continuous product. Further, the concept of multiplicatively continuous product has been introduced and related results have been established. Illustrative examples have been provided in support of our results.
- Subjects :
- Algebra
Normed algebra
Mathematics::General Mathematics
General Mathematics
Linear space
Product (mathematics)
Intuitionistic fuzzy n-normed linear space
Intuitionistic fuzzy
Algebra over a field
intuitionistic fuzzy continuous mapping
intuitionistic fuzzy continuous linear operator
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Proyecciones (Antofagasta), Volume: 37, Issue: 1, Pages: 68-83, Published: MAR 2018, Proyecciones (Antofagasta) v.37 n.1 2018, SciELO Chile, CONICYT Chile, instacron:CONICYT
- Accession number :
- edsair.doi.dedup.....4394887779bc30f0e681f5a5558dbd54