Classical Sets and Fuzzy Sets

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Across
  1. 3. It can be used to map elements or subsets in one universe of discourse to elements or sets in another universe.
  2. 6. Collections of elements within sets.
  3. 7. Fuzzy Operations that are the same ones for the Classical Sets.
  4. 9. Universes that comprises an infinite collection of elements with an infinite cardinality.
  5. 11. Triangular norms (t-norms) and triangular conforms (t-conorms) are … Fuzzy Operations.
  6. 14. Property denoted by A ꓵ B = B ꓵ A.
  7. 15. Property denoted by A ꓵ A = A and A U A = A.
  8. 17. Property denoted by A U (B ꓵ C) = (A U B) ꓵ (A U C).
  9. 19. Kind of set prescribed by vague or ambiguous properties.
  10. 20. The collection of all possible sets in the universe is called the … set.
  11. 22. Collections of elements within a universe.
  12. 23. Property that says that the complement of the complement of A is equals to A.
  13. 24. Property denoted by A U 0 = A, A ꓵ X = A, A ꓵ 0 = 0 and A U X = X.
  14. 26. Universes composed of a countably finite collection of elements with a finite cardinal number.
  15. 27. Number of elements in a universe X.
Down
  1. 1. Operation that represents all the elements not contained in a set A, denoted Ā.
  2. 2. A special set, P(X), constituted by all the possible sets of X.
  3. 4. Property denoted by A U (B U C) = (A U B) U C.
  4. 5. Property that says that if A is contained in B, and B is contained in C, therefore, A is contained in C.
  5. 8. Operation that represents all the elements contained simultaneously in both sets, A and B, denoted A U B.
  6. 10. A useful attribute of sets and the universes on which they are defined is a metric known as the…
  7. 12. Union, Intersection and complement are Fuzzy Set …
  8. 13. Operation that represents the collection of elements in the universe that reside in set A and do not reside in set B simultaneously, denoted A | B.
  9. 14. Kind of boundaries that have an uncertainty location in the set. / Sets without ambiguity in their membership.
  10. 16. Kind of set defined by crisp boundaries.
  11. 18. The cardinality of the fuzzy power set is…
  12. 21. The set containing no elements.
  13. 25. Operation that represents the union between sets A and B, that is, represents all those elements contained in set A, set B or both, denoted A ꓵ B.