What can quantum logic and fuzzy logic teach each other?

H. John Caulfield, Luis R. Lopez · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992

This work began with our consideration of the question: `Does fuzzy logic help us understand quantum mechanics?' In arriving at a positive answer, we had to posit a nondeterministic defuzzifying rule. We suggest here that such a rule may be useful in fuzzy operations, especially fuzzy control. It is often possible to construct an optical quantum computer which directly implements nondeterministic defuzzification by quantum indeterminacy. Thus our attempt to use fuzzy logic to understand quantum mechanics leads to a system which uses quantum mechanics to implement fuzzy logic.

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