In such a case, the fuzzy relation of the entire model denoted FM is constructed by forming the union of fuzzy relations of individual rules: In both notations Not a quotient bar but a delimiter The numerator in each term is the membership value in set A associated with the element of the universe indicated in the denominator. Even though implication functions in multivalued logic systems can be used for constructing fuzzy implication relations, approximate reasoning in fuzzy logic is fundamentally different from logic inference in multi-valued logic. Reading 1 0 x -1 1 33 Fuzzification The representation of imprecise data as fuzzy sets is a useful but not mandatory step when those data are used in fuzzy systems. The sets on the universe X that can accommodate degrees of membership are referred as fuzzy sets.
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