Fuzzy logic can be emulated with standard logic

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 2K views
lennybogzy
Messages
94
Reaction score
0
fuzzy logic can be emulated with "standard logic"

if fuzzy logic can be emulated with "standard logic" then how can it be fundamentally different?

shouldnt any newly proposed logic system, by definition, be impossible to model with another logic system? If you can emulate it then its not fundamentally different...
 
Physics news on Phys.org


lennybogzy said:
if fuzzy logic can be emulated with "standard logic" then how can it be fundamentally different?

shouldnt any newly proposed logic system, by definition, be impossible to model with another logic system? If you can emulate it then its not fundamentally different...

Sounds reminiscent of Turing-completeness. Once you have a logical system capable of representing number theory, you have reached the top (as far as anyone has ever seen). Your system can emulate any other system with finite complexity. Some systems are more succinct and expressive. Others rely on fewer axioms. But other than that, it's all the same.
 


if fuzzy logic can be emulated with "standard logic" then how can it be fundamentally different?

It isn't. The only ones that boast the "fundamental differences" are its proponents, but their arguments don't go much beyind that statement.

The fact is that the so-called "fuzzy logic" is just another way to perform calculations that are completey consistent with classical logic. The only advantage is that using fuzzy simplifies some things, but it's ultimately based on classical logic (consider this: if it's so fundamentally different, why almost every application of FL needs a "defuzzification" step?).