Fuzzy Orthogonality of Operators: A Framework in Fuzzy Banach Spaces
Abhishikta Das, Tarapada Bag · New Mathematics and Natural Computation · 2025
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.