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Required Background in Set Theory

In: Fuzzy Measure Theory

Author

Listed:
  • Zhenyuan Wang

    (State University of New York at Binghamton)

  • George J. Klir

    (State University of New York at Binghamton)

Abstract

Let X be a nonempty set. Unless otherwise stated, all sets that we consider are subsets of X. X is called the universe of discourse. The elements of X are called points. X may contain finite, countably infinite, or uncountably infinite number of points. A set that consists of a finite number of points x 1, x 2, ...., x n (or, a countably infinite number of points x 1, x 2, ...) may be denoted by {x 1, x 2, ..., x n } ({x 1, x 2, ...}, respectively). A set containing no point is called the empty set, and is denoted by Ø.

Suggested Citation

  • Zhenyuan Wang & George J. Klir, 1992. "Required Background in Set Theory," Springer Books, in: Fuzzy Measure Theory, chapter 0, pages 7-37, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-5303-5_2
    DOI: 10.1007/978-1-4757-5303-5_2
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