Kaufmann (1.1) Introduction to the Theory of Fuzzy Subsets, “Introduction”

 

by Corry Shores

 

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[The following is summary. Unless otherwise noted, boldface is my own. Page citations refer to the French edition first / then the English. I apologize in advance for my distracting typos or other mistakes, because proofreading is incomplete.]

 

 

 

Summary of

 

Arnold Kaufmann

 

Introduction à la théorie des sous-ensembles flous

à l’usage des ingénieurs

(Fuzzy sets theory)

1. Eléments théoriques de base

/

Introduction to the Theory of Fuzzy Subsets.

Vol.1 Fundamental Theoretical Elements

 

Ch.1

Notions de base

Fundamental Notions

 

1.1

Introduction

 

 

Brief summary:

We will deal with fuzzy subsets and not fuzzy sets, starting first with a review of sets.

 

 

 

Summary

 

Kaufmann will first review basic notions regarding sets, because we will apply or modify many of these notions when describing fuzzy subsets (1/1).

 

Kaufmann will proceed slowly for those less adept with mathematics (1/1).

 

The reader can check their understanding by examining the examples. But Chapter 1 will not be the challenging part. It gets difficult starting with the second chapter (1/1).

 

As we will see, we will deal with fuzzy subsets and not fuzzy sets. This theory is useful. Although what this theory does can be accomplished with other concepts, it is most effectively expressed in terms of fuzziness (1/1).

 

 

 

From:

Kaufmann, Arnold. 1975 [1973]. Introduction à la théorie des sous-ensembles flous à l’usage des ingénieurs (Fuzzy sets theory). 1: Eléments théoriques de base. Foreword by L.A. Zadeh. 2nd Edn. Paris: Masson.

 

Kaufmann, Arnold. 1975. Introduction to the Theory of Fuzzy Subsets. Vol.1: Fundamental Theoretical Elements. Foreword by L.A. Zadeh. English translation by D.L. Swanson. New York / San Francisco / London: Academic Press.

 

 

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