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Granados, Carlos
- A New Notion of Paranorm Intuitionistic Fuzzy Zweier I3-Convergent Triple Sequence Spaces
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Authors
Affiliations
1 Universidad de Antioquia, CO
1 Universidad de Antioquia, CO
Source
The Journal of the Indian Mathematical Society, Vol 90, No 1-2 (2023), Pagination: 165-174Abstract
In this paper, we define and introduce the notion of paranorm intuitionistic fuzzy Zweier I3-convergent triple sequence spaces ZI3(μ,υ) (p) and ZIO3(μ,υ) (p) for p = (pnmj ) a triple sequence of positive real numbers. Besides, the fuzzy topology on these spaces is studied.
Keywords
Ideal Spaces, Triple I3-Sequence, Intuitionistic Fuzzy Normed Spaces.
References
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- Preference Intuitionistic Fuzzy Rough Relation and its Theoretical Approach
Abstract Views :194 |
PDF Views:9
Authors
Affiliations
1 Department of Mathematics, Bir Bikram Memorial College, Agartala-799004, Tripura, IN
2 Estudiante de Doctorado en Matemticas, Magister en Ciencias Matemticas, Universidad de Antioquia, Medelln, CO
1 Department of Mathematics, Bir Bikram Memorial College, Agartala-799004, Tripura, IN
2 Estudiante de Doctorado en Matemticas, Magister en Ciencias Matemticas, Universidad de Antioquia, Medelln, CO
Source
The Journal of the Indian Mathematical Society, Vol 90, No 3-4 (2023), Pagination: 199–212Abstract
Relations on intuitionistic fuzzy sets (IFSs) and rough sets (RSs) have recently received a lot of attention for uncertainty. IFSs can effectively represent and simulate the uncertainty and diversity of judgment information offered by decision-makers. In comparison to fuzzy sets (FSs), IFSs are highly beneficial for expressing vagueness and uncertainty more accurately. In this paper, we introduce a novel concept of preference intuitionistic fuzzy rough relation (PIFRR) as an extension of intuitionistic fuzzy rough relation (IFRR) and partially included intuitionistic fuzzy rough relation (PIIFRR). Based on the concepts of IFRR and PIIFRR a theoretical approach of the PIFRR is established and some useful properties are investigated. Finally, we introduce the concepts of Semi-connected and totally semi-connected IFRRs and study under which assumptions PIFRRs fulfil these properties.Keywords
Fuzzy Set and Rough Set and Intuitionistic Fuzzy Set, Preference Relation and Atanassov’s Operator.References
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