I want to summarize a little bit: **“What the Fuzzy logic is about”**, so that you can get some feeling out of it.

Fuzzy logic includes 0 and 1 as extreme cases of truth but also includes the various states of truth in between so that, for example, the result of a comparison between two things could be not “tall” or “short” but “0.38 of tallness.”

Fuzzy logic is almost synonymous with the theory of **fuzzy sets**, a theory which relates to classes of objects with **unsharp boundaries** in which membership is a matter of degree.

There is a high number of things/objects with unsharp boundaries. For example think about the surface area of Pacific Ocean. Wikipedia states that the value is 165,250,000 km^{2}, but we can immediately see that it is rounded and contains a lot of imprecision. How would you express the value to make it more precise:

- What about tides (water fluctuation, Moon’s movement, Earth rotation, solar gravitational effects, …)? The high of the ocean differs throughout day and year. Should we have a function with time parameter?
- What about icebergs melting?
- What about shore lines constant change?
- What precision should we except: km
^{2}, m^{2}, mm^{2}? - …

It is very useful to understand that **it is merely impossible to get the most accurate value which correctness can not be improved any more**. This is stressing out how importatn it is to learn working with imperfection and how to get practical maximum out of it.

A trend that is growing relates to the use of fuzzy logic in combination with **neurocomputing** and **genetic algorithms**. More generally, fuzzy logic, neurocomputing, and genetic algorithms may be viewed as the principal constituents of what might be called **soft computing**. Unlike the traditional, **hard computing**, soft computing accommodates the **imprecision of the real world**.

Fuzzy logic is essential to the development of human-like capabilities for AI. Living organisms aggregate data and form a number of partial truths which are being aggregated further into higher truths which in turn, when certain thresholds are exceeded, cause certain further results such as motor reaction. A similar kind of process is used in:

Lotfi Zadeh’s research (credited with fuzzy logic’s formulation) focused on implementing methods that **allowed computers to understand human language**.

## References / Quotation sources

List of references, from which I’ve quote + taken expressions: