Fuzzy Mathematics : A Fundamental Introduction (Synthesis Lectures on Mathematics & Statistics) (2024)

Fuzzy Mathematics : A Fundamental Introduction (Synthesis Lectures on Mathematics & Statistics) (2024)

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  • 製本 Hardcover:ハードカバー版/ページ数 102 p.
  • 言語 ENG
  • 商品コード 9783031738333
  • DDC分類 511.3

Full Description

This book aims to introduce readers without a strong mathematical background to the basic ideas of fuzzy set theory and logic. Fuzzy mathematics is the mathematics of vagueness, a universal property of this world. There are many objects that are called vague because they cannot be precisely defined. Since vagueness is so common, a tool is needed to describe it and to effectively deal with it. Fuzzy mathematics is such a tool, and it is used by most researchers and scholars. As such, this book provides a short overview of the field written for non-specialists. This book allows readers to delve into the theory of fuzzy sets and introduces core mathematical ideas without using the usual formalities of books in mathematics, i.e. theorems, proofs, etc.

Contents

What is Vagueness.- Sets and their Properties.- Fuzzy Sets and their Properties.- Extensions of Fuzzy Sets.- Fuzzy Numbers.- Other Fuzzy Constructs.

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