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تعداد اسلاید : 28 اسلاید

 قسمتی از متن .ppt : 

17/10/1438

1

Fuzzy Sets: Outline

Introduction

Basic definitions and terminology

Set-theoretic operations

MF formulation and parameterization

MFs of one and two dimensions

Derivatives of parameterized MFs

More on fuzzy union, intersection, and complement

Fuzzy complement

Fuzzy intersection and union

Parameterized T-norm and T-conorm

17/10/1438

2

Fuzzy Sets

Sets with fuzzy boundaries

A = Set of tall people

Membership

function

height

5’10’’

6’2’’

.5

.9

Fuzzy set A

1.0

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3

Membership Functions (MFs)

Characteristics of MFs:

Subjective measures

Not probability functions

MFs

Heights

5’10’’

.5

.8

.1

“tall” in Asia

“tall” in the US

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4

Fuzzy Sets

Formal definition:

A fuzzy set A in X is expressed as a set of ordered pairs:

Universe or

universe of discourse

Fuzzy set

Membership

function

(MF)

A fuzzy set is totally characterized by a

membership function (MF).