Miscellaneous

What is the main difference between probability and fuzzy logic?

What is the main difference between probability and fuzzy logic?

The probability theory is based on perception and has only two outcomes (true or false). Fuzzy theory is based on linguistic information and is extended to handle the concept of partial truth. Fuzzy values are determined between true or false.

Is fuzzy logic probabilistic?

A concept of probabilistic fuzzy logic is introduced as a way of representing and/or modeling existing randomness in many real world systems and natural language propositions. The approach is based on combining both the concepts of probability of truth and degree of truth in a unique framework.

What is fuzzy logic in Computer Science?

Fuzzy logic is an approach to computing based on “degrees of truth” rather than the usual “true or false” (1 or 0) Boolean logic on which the modern computer is based. It may help to see fuzzy logic as the way reasoning really works and binary, or Boolean, logic is simply a special case of it.

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What is the difference between fuzzy logic and probability?

“Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1 both inclusive.” “Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.”

What is the difference between fuzzy uncertainty and probabilistic uncertainty?

Fuzzy set uncertainty measures a completely different quantity than probability and its measures of uncertainty, like the Hartley Function (for nonspecificity) or Shannon’s Entropy. Fuzziness and probabilistic uncertainty don’t affect each other at all.

How do you interpret a fuzzy set?

Fuzzy sets can be interpreted in nuanced ways that produce the possibility distributions and belief scores used in fields like Evidence Theory, which includes the subtle concept of probability mass assignments. I liken it to the way in which conditional probabilities etc. can be reinterpreted as Bayesian priors and posteriors.

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Why are fuzzy sets always less than ordinary counts?

These are always less than the ordinary “crisp” count, because the membership functions that define fuzzy sets (which are always on the 0 to 1 scale) measure partial membership, so that a record with a score of 0.25 only counts as a quarter of a record.