Geschäftskunden Kundenprogramme
Vor Ort
Merkzettel Warenkorb
Produktbild: A Modern Introduction to Fuzzy Mathematics

A Modern Introduction to Fuzzy Mathematics

Fr. 149.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

28.07.2020

Verlag

John Wiley & Sons

Seitenzahl

384

Maße (L/B/H)

22.9/15.2/2.2 cm

Gewicht

676 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-44528-9

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

28.07.2020

Verlag

John Wiley & Sons

Seitenzahl

384

Maße (L/B/H)

22.9/15.2/2.2 cm

Gewicht

676 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-44528-9

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
Die Leseprobe wird geladen.
  • Produktbild: A Modern Introduction to Fuzzy Mathematics
  • Preface V
     
    Chapter 1 Introduction 1
     
    1.1 What is vagueness? 1
     
    1.2 Vagueness, Ambiguity, Uncertainty,... 4
     
    1.3 Vagueness and Fuzzy Mathematics 5
     
    Chapter 2 Fuzzy Sets and Their Operations 9
     
    2.1 Algebras of Truth Values 9
     
    2.1.1 Posets 9
     
    2.1.2 Lattices 11
     
    2.1.3 Frames 11
     
    2.2 Zadeh's Fuzzy Sets 12
     
    2.3 alpha-cuts of Fuzzy Sets 16
     
    2.4 Interval Valued and Type 2 Fuzzy Sets 19
     
    2.5 Triangular Norms and Conorms 21
     
    2.6 L-fuzzy Sets 23
     
    2.7 "Intuitionistic" Fuzzy Sets and Their Extensions 24
     
    2.8 The Extension Principle 28
     
    2.9* Boolean-Valued Sets 30
     
    2.10* Axiomatic Fuzzy Set Theory 32
     
    Chapter 3 Fuzzy Numbers and Their Arithmetic 35
     
    3.1 Fuzzy Numbers 35
     
    3.1.1 Triangular Fuzzy Numbers 36
     
    3.1.2 Trapezoidal Fuzzy Numbers 37
     
    3.1.3 Gaussian Fuzzy Numbers 37
     
    3.1.4 Quadratic Fuzzy Numbers 39
     
    3.1.5 Exponential Fuzzy Numbers 41
     
    3.1.6 LR Fuzzy Numbers 41
     
    3.1.7 Generalized Fuzzy Numbers 42
     
    3.2 Arithmetic of Fuzzy Numbers 43
     
    3.2.1 Interval Arithmetic 43
     
    3.2.2 Interval Arithmetic and alpha-Cuts 43
     
    3.2.3 Fuzzy Arithmetic and the Extension Principle 44
     
    3.2.4 Fuzzy Arithmetic of Triangular Fuzzy Numbers 45
     
    3.2.5 Fuzzy Arithmetic of Generalized Fuzzy Numbers 45
     
    3.2.6 Comparing Fuzzy Numbers 47
     
    3.3 Linguistic Variables 49
     
    3.4 Fuzzy Equations 50
     
    3.4.1 Solving the Fuzzy Equation A s X + B = C 50
     
    3.4.2 Solving the Fuzzy Equation A s X² + B s X + C = D 53
     
    3.5 Fuzzy Inequalities 55
     
    3.6 Constructing Fuzzy Numbers 55
     
    3.7 Applications of Fuzzy Numbers 57
     
    3.7.1 Simulation of the Human Glucose Metabolism 57
     
    3.7.2 Estimation of an Ongoing Project's Completion Time 60
     
    Chapter 4 Fuzzy Relations 65
     
    4.1 Crisp Relations 65
     
    4.2 Fuzzy Relations 69
     
    4.3 Cartesian Product, Projections, and Cylindrical Extension 70
     
    4.4 New Fuzzy Relations From Old Ones 72
     
    4.5 Fuzzy Binary Relations on a Set 75
     
    4.6 Fuzzy Orders 80
     
    4.7 Elements of Fuzzy Graph Theory 82
     
    4.7.1 Graphs and Hypergraphs 82
     
    4.7.2 Fuzzy Graphs 83
     
    4.7.3 Fuzzy Hypergraphs 87
     
    4.8* Fuzzy Category Theory 89
     
    4.9* Fuzzy Vectors 96
     
    4.10 Applications 97
     
    Chapter 5 Possibility Theory 101
     
    5.1 Fuzzy Restrictions and Possibility Theory 101
     
    5.2 Possibility and Necessity Measures 103
     
    5.3 Possibility Theory 105
     
    5.4 Possibility Theory and Probability Theory 108
     
    5.5 An Unexpected Application of Possibility Theory 110
     
    Chapter 6 Fuzzy Statistics 117
     
    6.1 Random Variables 117
     
    6.2 Fuzzy Random Variables 120
     
    6.3 Point Estimation 123
     
    6.3.1 The unbiased estimator 124
     
    6.3.2 The consistent estimator 125
     
    6.3.3 The maximum likelihood estimator 126
     
    6.4 Fuzzy Point Estimation 127
     
    6.5 Interval Estimation 128
     
    6.6 Interval Estimation for Fuzzy Data 129
     
    6.7 Hypothesis Testing 131
     
    6.8 Fuzzy Hypothesis Testing 132
     
    6.9 Statistical Regression 134
     
    6.10 Fuzzy Regression 136
     
    Chapter 7 Fuzzy Logics 141
     
    7.1 Mathematical Logic 141
     
    7.2 Many-Valued Logics 146
     
    7.3 On Fuzzy Logics 151
     
    7.4 Hájek's Basic Many-Valued Logic 152
     
    7.5 Aukasiewicz Fuzzy Logic 155
     
    7.6 Product Fuzzy Logic 157
     
    7.7 Gödel