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A Modern Introduction to Fuzzy Mathematics
book

A Modern Introduction to Fuzzy Mathematics

by Apostolos Syropoulos, Theophanes Grammenos
July 2020
Intermediate to advanced content levelIntermediate to advanced
384 pages
11h 25m
English
Wiley
Content preview from A Modern Introduction to Fuzzy Mathematics

3Fuzzy Numbers and Their Arithmetic

Fuzzy numbers are a mathematical formulation of vague statements about real numbers. For example, a statement expressing that a number is approximately 2 is modeled by a fuzzy number. Fuzzy numbers are of great importance in fuzzy systems and toward the end of this chapter, we are going to discuss how we can construct fuzzy numbers from real‐world data, and how these numbers can be used.

3.1 Fuzzy Numbers

Fuzzy (real) numbers are a special kind of fuzzy sets that have been introduced by Zadeh [311].

Clearly, every fuzzy number is a convex ...

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Publisher Resources

ISBN: 9781119445289Purchase book