Fundamentals of Artificial Intelligence by K. R. Chowdhary

Author:K. R. Chowdhary
Language: eng
Format: epub, pdf
ISBN: 9788132239727
Publisher: Springer India

Figure 12.15 shows a fuzzy graph of a function dependence , where , , are linguistic variables. Let the set of values in linguistic variables X and Y be , , respectively. This graph is an approximate compressed representation of f in the form of as

(12.41)

which is equal to

(12.42)

, (for ) are called contiguous fuzzy subsets of sets U and V, respectively. Also, is the Cartesian product of , and “” in Eq. (12.41) represents the operation of disjunction—a union operation. When expressed more explicitly in the form of membership functions, we have

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