Required Background in Set Theory

Zhenyuan Wang and George J. Klir
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Zhenyuan Wang: State University of New York at Binghamton
George J. Klir: State University of New York at Binghamton

Chapter Chapter 2 in Fuzzy Measure Theory, 1992, pp 7-37 from Springer

Abstract: 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.

Date: 1992
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DOI: 10.1007/978-1-4757-5303-5_2

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