ABSTRACT
The central dogma of fuzziness is to admit a gradual and continuous transition rather than sticking to the traditional concept of abrupt or sharp change from one Boolean value to another. The concept of fuzziness has been exploited mathematically in developing fuzzy systems which include fuzzy sets, fuzzy logic, fuzzy algorithms, and fuzzy control. The basic problem of control is to develop an algorithm which is capable of mapping the input and the set of available parameters into an output—which should be the optimal output under the given situation. The idea of assigning every element in the set a degree of membership is central to the paradigm of fuzzy sets and fuzzy systems. The fuzzy set theory and the fuzzy logic can be viewed as extensions of their traditional counterparts which allow the science of continuum to enter what was traditionally believed to belong to discrete disciplines.
