Fuzzy Logic

dealing with it · **Tips:** 0.00 INK by **dealing with it** on Wed Jan 18, 2017 3:42 pm

I don't know much about fuzzy logic, but it seems like something I should know. I borrowed a book on Discrete Mathematics from my roommate, since he insists that it is an important precursor to probability sets, but I thought I'd also like to discuss it here.

Basically, as I understand it, fuzzy logic deals with polyvalent truth values. Think of Boolean logic, where 0 is false and 1 is true. It is simple, two-valued, and absolute.

In fuzzy logic, values in between 0 and 1 are possible: something can be partially true... for instance, something can be 0.6 true. This allows some interesting mathematical expressions, like infinite-valued sets.

Can anyone think of applications of fuzzy logic?

HelplessBystander · **Tips:** 0.00 INK by **HelplessBystander** on Fri Sep 08, 2017 12:01 am

You lost after Boolean logic. I think that it is going to take a hell lot more effort to create innovative applications non-binary models of probability sets since most of our computerised applications are inherently derived from binary-based logic systems (more complicated than that, but that's basically the gist of it).

The only thing I could think of in relation to this appears to be quantum computers, and even then, I don't understand enough about quantum computational logic to give examples. But I think non-binary operations SHOULD make calculations more efficient, right?

grayverson · **Tips:** 0.25 INK by **grayverson** on Fri Dec 01, 2017 8:29 am

Fuzzy logic is a branch of mathematics that is a generalization of classical logic and set theory, based on the notion of a fuzzy set, as an object with a membership function of an element to a set that takes any values in the interval [0, 1].
I know that fuzzy logic is applied in MATLAB. There is a Fuzzy Logic Toolbox tool that provides functions, apps, and a Simulink block for analyzing, designing, and simulating systems based on fuzzy logic. The toolbox lets you model complex system behaviors using simple logic rules, and then implement these rules in a fuzzy inference system.
Also, fuzzy logic is used in systems with artificial intelligence.

dealing with it · **Tips:** 0.00 INK by **dealing with it** on Sun Dec 03, 2017 8:20 pm

Interesting. The video on Simulink used the example of wind turbine which is a lot clearer than that of artificial intelligence. I can imagine it's a very good tool for engineers. I wonder if there's any use for it in philosophy; or, hell, website design.

SimonTiger · **Tips:** 0.00 INK by **SimonTiger** on Tue Mar 13, 2018 2:17 pm

Fuzzy logic in practice
A standard article on fuzzy logic usually sins with two things:

In 99% of cases, the article deals only with the use of fuzzy logic in the context of fuzzy sets, or rather, fuzzy inference, and even more precisely the Mamdani algorithm. One gets the impression that only this way fuzzy logic can be applied, but this is not so.
Almost always an article is written in mathematical language. It's great, but programmers use another language with other notations. Therefore, it turns out that the article is simply incomprehensible to those who, it would seem, should be useful.

Fuzzy Logic

a topic in Logic & Mathematics, a part of the RPG forum.

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