(20 marks)
3. Define a linguistic variable and it’s value. How are linguistic variables determined and used in fuzzy expert systems?
A linguistic variable is a fuzzy variable. For example a the lingustic variable Tall in the context of “is person tall?”, represents a persons membership of that fuzzy set. They may be widely considered tall if their height is greater then say 175cm. In a fuzzy system in regard to membership, if John is 185cm then “if john is tall” may be more true then someone who is 180cm.
A linguistic variable is inherently a “fuzzy” variable. It represents data that is inexact or uncertain to some extent.
The value of a linguistic variable is how true it is, how accurately the word tall represents john’s height.
In the context of fuzzy expert systems:
When for an expert system the data and rules in the knowledge base requires it be represened with uncertainty or inexactness, a fuzzy hybrid system can be used for this task.
For example in a medical diagnosis fuzzy expert system, the symptoms of a patient may be describe with linguistic variables like “very painful”, “somewhat painful”, “dark color”, “light colour”.
Since an standard expert system requires exact logic, it would not adequately account for the uncertainty and vagueness of the data and rules. So a fuzzy system is used to evaluate all the inferencing processes.

