Exploring the Intersection of Fuzzy Logic and Quantum Logic: A New Frontier in Non-Classical Logics

Abstract

Fuzzy logic can handle ambiguity and uncertainty. Quantum physics led to the development of quantum logic, which, unlike fuzzy logic, is based on projectors' vector subspaces. The two theories' relationship is fascinating. These non-classical logics provide viable solutions for handling intricacy, uncertainty, and information processing in a variety of disciplines. The applications of fuzzy-quantum logics in artificial intelligence, decision-making, control systems, and quantum computing are covered in this article along with possible future research paths in the field. We also look at the evolution of quantum fuzzy information theory as well as the application of quantum logic theory to fuzzy logic and other non-classical logics. We also stress the potential of mixed algorithms and optimisation methods based on fuzzy-quantum logics to address challenging issues. We wrap up by highlighting the importance of additional study in these fields and summarising the overall results. The suggested study directions could help non-classical logics progress by producing fresh ideas, theories, and applications that might have an effect on a number of different disciplines and stimulate innovation there