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:I was objecting to that paragraph's implication of a bright line between probability theory and fuzzy logic, a bias toward Dr. Zadeh's point of view and against Dr. Kosko's. Like Dr. Kosko, I see some overlap, and contrived corner cases are useful for pointing out this overlap. [[Fuzzy metalogic]] anyone? --[[User:Damian Yerrick|Damian Yerrick]] 17:36, 7 May 2005 (UTC)
== Separate from probability ==
Here is an example that I came up with of how conventional logic differs from FL. It also shows that FL has its niche apart from probability:
:Tim and Carl have to unload and clean a truck. Tim is stronger than Carl, and Carl is better at cleaning than Tim. Therefore Tim should unload the truck, and Carl should do the cleaning.
This is a logical approach; we’ve assigned a function to each of the workers and delegated accordingly. But what have we done with Tim’s ability to clean and Carl’s strength? Are they both void? Does Carl have no strength and is Tim a complete slob who is unable to clean anything? It seems that in the process of making a clear cut decision we’ve neglected some abilities. It the industrial and commercial realm, we have failed to use all of our resources.
In the above example, we would like to see both workers exercise their greatest abilities, but also be able to utilize the lesser skills they still obtain. This is the foundational concept of Fuzzy Logic; waste can be minimized by reducing the impulse to conclude a black and white solution to a complex problem.
:If Tim is stronger than Carl, and Carl is better at cleaning, then Tim should do ''more'' of the unloading, and Carl should do ''more'' of the cleaning. But both of them should do both tasks.
Now we have a situation where Tim has help carrying the heavy couch, and Carl has someone to help him sweep. Not to mention how much faster both jobs will get done!
If you wanted to place number values on the situation, if Tim is 25% stronger than Carl, then Tim should do 25% more lifting. This is my understanding of FL, unless it is a different logic altogether...
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