Fuzzy Tsetlin automata and their application in analog computing
Abstract
Abstract In the paper we suggest a system of fuzzy Tsetlin automata for analog computations. The system deals with fuzzy analogs of qubits and models operations of quantum gates used for quantum computations. In contrast to the existing models, the suggested system directly emulates reversible operators and the “square root of not” operator which is a key operator in quantum computations. Fuzzy information units called f-bits are defined by matrix with fuzzy normalized rows and emulate qubits with complex elements. Operations with these units are conducted by fuzzy Tsetlin automata based on the uninorm and absorbing norm. It is demonstrated that the suggested system emulates basic quantum computations; hence, it can implement analog computations and can support analog emulations of quantum algorithms.
Fields of Study & Subjects
Advanced Algebra and Logic
Fuzzy Logic and Control Systems
Rough Sets and Fuzzy Logic
Publication details
- Journal / source
- Soft Computing
- Publisher
- Springer Science and Business Media LLC
- Volume
- 30
- Issue
- 6
- Pages
- 3873–3887
- Publication date
- 29 April 2026
- Language
- EN