Fuzzy Probabilities

New Approach and Applications

By: James J. Buckley

Write A Review

Hardcover | 11 March 2005

At a Glance

Hardcover
184 Pages

Dimensions(cm)
24.77 x 16.51 x 1.91

Hardcover

$169.75

or 4 interest-free payments of $42.44 with

or

Ships in 5 to 7 business days

In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Mathematical Logic

Current Trends in Automated Reasoning - Erika Bach

$31.75

21%
OFF

The Language of Mathematics

The Stories behind the Symbols

Hardcover

RRP $49.99

$40.75

18%
OFF

How to Prove It

A Structured Approach

Paperback

RRP $73.95

$70.75

Introduction to Mathematical Logic : Discrete Mathematics and Its Applications - Elliott Mendelson

$233.75

Introduction to Modern Cryptography : Revised Third Edition - Jonathan Katz

$85.75

10%
OFF

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume I

Hardcover

RRP $231.00

$202.75

12%
OFF

Fuzzy Logic in Revolutionizing Renewable Energy : Jenny Stanford Series on Fuzzy Theory Frontiers Vol. 2 - Bhupinder Singh

$40.75

13%
OFF

Strongly Minimal Sets and Categoricity in Continuous Logic

Paperback

RRP $197.00

$187.75

Cause, Effect, and Everything in Between

An Introduction to Causal Inference

Hardcover

RRP $183.95

$137.75

25%
OFF

Cartesian Cubical Model Categories - Steve Awodey

$201.99

13%
OFF

Fuzzy Logic : An Introductory Text - Lukas Brooks

$52.75

REFLECTIONS

THE MAGIC, MUSIC & MATH OF RAYMOND SMULLYAN

Paperback

RRP $52.99

$47.75

10%
OFF

Introduction	p. 1
Introduction	p. 1
References	p. 4
Fuzzy Sets	p. 7
Introduction	p. 7
Fuzzy Sets	p. 7
Fuzzy Numbers	p. 8
Alpha-Cuts	p. 9
Inequalities	p. 11
Discrete Fuzzy Sets	p. 11
Fuzzy Arithmetic	p. 11
Extension Principle	p. 12
Interval Arithmetic	p. 12
Fuzzy Arithmetic	p. 13
Fuzzy Functions	p. 14
Extension Principle	p. 14
Alpha-Cuts and Interval Arithmetic	p. 16
Differences	p. 16
Finding the Minimum of a Fuzzy Number	p. 17
Ordering Fuzzy Numbers	p. 19
Fuzzy Probabilities	p. 21
Fuzzy Numbers from Confidence Intervals	p. 21
Computing Fuzzy Probabilities	p. 23
First Problem	p. 24
Second Problem	p. 26
Figures	p. 28
References	p. 28
Fuzzy Probability Theory	p. 31
Introduction	p. 31
Fuzzy Probability	p. 32
Fuzzy Conditional Probability	p. 36
Fuzzy Independence	p. 38
Fuzzy Bayes' Formula	p. 40
Applications	p. 41
Blood Types	p. 41
Resistance to Surveys	p. 42
Testing for HIV	p. 44
Color Blindness	p. 45
Fuzzy Bayes	p. 46
References	p. 48
Discrete Fuzzy Random Variables	p. 51
Introduction	p. 51
Fuzzy Binomial	p. 51
Fuzzy Poisson	p. 54
Applications	p. 57
Fuzzy Poisson Approximating Fuzzy Binomial	p. 57
Overbooking	p. 58
Rapid Response Team	p. 59
References	p. 60
Fuzzy Queuing Theory	p. 61
Introduction	p. 61
Regular, Finite, Markov Chains	p. 61
Fuzzy Queuing Theory	p. 63
Applications	p. 64
Machine Servicing Problem	p. 65
Fuzzy Queuing Decision Problem	p. 68
References	p. 69
Fuzzy Markov Chains	p. 71
Introduction	p. 71
Regular Markov Chains	p. 75
Absorbing Markov Chains	p. 77
Application: Decision Model	p. 79
References	p. 83
Fuzzy Decisions Under Risk	p. 85
Introduction	p. 85
Without Data	p. 86
With Data	p. 88
References	p. 91
Continuous Fuzzy Random Variables	p. 95
Introduction	p. 95
Fuzzy Uniform	p. 95
Fuzzy Normal	p. 97
Fuzzy Negative Exponential	p. 99
Applications	p. 100
Fuzzy Uniform	p. 101
Fuzzy Normal Approximation to Fuzzy Binomial	p. 101
Fuzzy Normal Approximation to Fuzzy Poisson	p. 104
Fuzzy Normal	p. 105
Fuzzy Negative Exponential	p. 107
References	p. 108
Fuzzy Inventory Control	p. 109
Introduction	p. 109
Single Period Model	p. 109
Multiple Periods Ill
References	p. 112
Joint Fuzzy Probability Distributions	p. 115
Introduction	p. 115
Continuous Case	p. 115
Fuzzy Marginals	p. 116
Fuzzy Conditionals	p. 118
Fuzzy Correlation	p. 120
Fuzzy Bivariate Normal	p. 121
References	p. 123
Applications of Joint Distributions	p. 125
Introduction	p. 125
Political Polls	p. 125
Fuzzy Marginals	p. 126
Fuzzy Conditionals	p. 127
Fuzzy Correlation	p. 128
Fuzzy Reliability Theory	p. 129
References	p. 132
Functions of a Fuzzy Random Variable	p. 133
Introduction	p. 133
Discrete Fuzzy Random Variables	p. 133
Continuous Fuzzy Random Variables	p. 134
Functions of Fuzzy Random Variables	p. 139
Introduction	p. 139
One-to-One Transformation	p. 140
Other Transformations	p. 142
Law of Large Numbers	p. 145
Sums of Fuzzy Random Variables	p. 147
Introduction	p. 147
Sums	p. 149
Conclusions and Future Research	p. 151
Introduction	p. 151
Summary	p. 151
Chapter 3	p. 151
Chapter 4	p. 151
Chapter 5	p. 152
Chapter 6	p. 152
Chapter 7	p. 152
Chapter 8	p. 152
Chapter 9	p. 152
Chapter 10	p. 153
Chapter 11	p. 153
Chapter 12	p. 153
Chapter 13	p. 153
Chapter 14	p. 153
Chapter 15	p. 153
Research Agenda	p. 154
Chapter 3	p. 154
Chapter 4	p. 154
Chapter 5	p. 154
Chapter 6	p. 154
Chapter 7	p. 154
Chapter 8	p. 154
Chapter 9	p. 154
Chapter 10	p. 154
Chapter 11	p. 155
Chapter 12	p. 155
Chapter 13	p. 155
Chapter 14	p. 155
Chapter 15	p. 155
Conclusions	p. 155
Index	p. 157
List of Figures	p. 162
List of Tables	p. 164
Table of Contents provided by Publisher. All Rights Reserved.

Fuzzy Probabilities

New Approach and Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematical Logic

Current Trends in Automated Reasoning

Automated Theorem Proving

Theory and Practice

Handbook of Automated Reasoning

Current Trends in Automated Theorem Proving

Automated Deduction

From Theory to Applications

Advances in Automated Reasoning

Unequal

The Maths of When Things Do and Don't Add Up

The Language of Mathematics

The Stories behind the Symbols

How to Prove It

A Structured Approach

Introduction to Mathematical Logic

Discrete Mathematics and Its Applications

Introduction to Modern Cryptography

Chapman & Hall/Crc Cryptography and Network Security

Introduction to Modern Cryptography

Revised Third Edition

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume I

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume I

Fuzzy Logic in Revolutionizing Renewable Energy

Jenny Stanford Series on Fuzzy Theory Frontiers Vol. 2

Ignorance

What We Do Not Know, Cannot Know, Must Not Know, and Refuse to Know

Strongly Minimal Sets and Categoricity in Continuous Logic

Cause, Effect, and Everything in Between

An Introduction to Causal Inference

Cartesian Cubical Model Categories

Computable Structure Theory

Beyond the Arithmetic

Fuzzy Logic

An Introductory Text

Modern Mathematical Logic

Mathematical Puzzles

Revised Edition

REFLECTIONS

THE MAGIC, MUSIC & MATH OF RAYMOND SMULLYAN

This product is categorised by