AI Bibliography
AI Bibliography |
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Zadeh, L. A. (1996). Fuzzy sets. In Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh (pp. 394–432). World Scientific. |
| Resource type: Book Article BibTeX citation key: Zadeh1996 View all bibliographic details  |
Categories: Artificial Intelligence, Cognitive Science, Complexity Science, Decision Theory, General, Mathematics Subcategories: Decision making, Game theory, Human decisionmaking, Human learning, Markov models, Neurosymbolic, Synthetic intelligence Creators: Zadeh Publisher: World Scientific Collection: Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh |
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| Abstract |
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A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (charac- teristic) function which assigns to each object a grade of member- ship ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint. |