Fuzzy conditional statement

This style of fuzzy conditional statement is often called a Mamdani -type rule, after Mamdani (1976) who first used it in a fuzzy rulebase to control steam plant. 

In one of his most influential papers, Lotfi Zadeh presented an outline of a new approach to analysis of complex systems and decision processes (Zadeh, 1973). He suggested using fuzzy rales to capture and express human knowledge. Human knowledge is usually inthe form of if-then rules, whiehean be easily implemented by fuzzy conditional statements. 

Another way of setting out the relations between fuzzy variables is by the use of conditional statements such as... 

A fuzzy rale is defined as a conditional statement in the form ... 

Rules A fuzzy rule is a conditional statement in the form of IF-THEN where it contains two parts, the IF part called the antecedent part and the Then part called the consequent part. 

An early application of fuzzy logic was in the control of a cement kiln and applications to similar or identical systems have continued to appear (see, for example, Jarvensivu et al.1). This is an example of a practical application in which generation of high quality product may depend on the skill and experience of a small number of workers. Even when computer control is available, workers may describe the way that they adjust conditions to provide a high-quality product by statements such as, "The kiln rotation rate should be lowered slightly," and that, in order to compensate, "The temperature should be diminished just a bit." Fuzzy logic now has a lengthening track record of use in such situations. 

FL is based on a collection of IF-THEN rule statements used to formulate conditional fuzzy propositions. 

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