Fuzzy Orthogonality of Operators: A Framework in Fuzzy Banach Spaces
In this paper, we introduce a new notion of fuzzy orthogonality between two linear operators on a fuzzy Banach space. We demonstrate that if the fuzzy norm satisfies the condition (N6), then the operators are orthogonal in the Birkhoff–James sense with respect to the [Formula: see text]-norm. Additionally, we establish several fundamental results concerning fuzzy orthogonality of linear operators in finite-dimensional fuzzy Banach spaces.
Authors
- T. Bag (ORCID: https://orcid.org/0000-0002-8834-7097)
- Abhishikta Das (ORCID: https://orcid.org/0000-0002-2860-424X)
Institutions
- Visva-Bharati University (IN)
Publication Details
- Journal
- New Mathematics and Natural Computation
- Published
- 2025-06-22
- DOI
- https://doi.org/10.1142/s179300572750013x
- Primary Topic
- Optimization and Variational Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00