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Berkeley Initiative in Soft Computing (BISC)

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===============Prof. Lotfi Zadeh 's Talk ==========

Santa Clara Valley Chapter of the IEEE/CS April 2002 Seminar

Details: http://www.siliconvalleycs.org

Title: What is Fuzzy Logic and What are its Applications?

Place: Building 320, Room 105 on the Stanford University Campus.

Time: Wednesday, April 17 at 7:30PM

light refreshments served from 7:00 to 7:30.

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What is Fuzzy Logic and What are its

Applications?

Lotfi A. Zadeh

Abstract

Fuzzy logic has been and to some extent still is an

object of controversy.

Some are turned-off by its name. But, more

importantly, fuzzy logic is

tolerant of imprecision and partial truth. It is

this tolerance that is in conflict

with the deep-seated Cartesian tradition of aiming

at truth which is bivalent,

with no shades of gray allowed.

There are many misconceptions about fuzzy logic. In

large measure, the

misconceptions reflect the fact that the term "fuzzy

logic" has two distinct

interpretations. More specifically, in a narrow

sense, fuzzy logic is the logic

of approximate reasoning: But in a wider sense which

is in dominant use

today fuzzy logic, denoted as FL, is coextensive

with the theory of fuzzy

sets, and contains fuzzy logic in a narrow sense as

one of its branches. In

fact, most applications of FL involve modes of

analysis which are

computational rather than logical in nature. Fuzzy

logic, FL, has four

principal facets. First, the logical facet, FLl,

which is fuzzy logic in its narrow

sense. Second, the set-theoretic facet, FLs, which

is concerned with classes

having unsharp boundaries, that is, with fuzzy sets.

Third, the relational facet,

FLr, which is concerned with linguistic variables,

fuzzy if-then rules and

fuzzy relations. It is this facet that underlies

almost all applications of fuzzy

logic in control, decision analysis, industrial

systems and consumer products.

And fourth, the epistemic facet, FLe, which is

concerned with knowledge,

meaning and linguistics. One of the important

branches of FLe is a

possibility theory.

A concept which has a position of centrality in FL

is that of fuzzy granularity

or, simply, f-granularity. F-granularity reflects

the bounded ability of human

sensory organs and, ultimately, the brain, to

resolve detail and store

information. In particular, human perceptions are,

for the most part,

f-granular in the sense that (a) the boundaries of

perceived classes are fuzzy,

and (b) the perceived attributes are granulated,

with a granule being a clump

of values drawn together by indistinguishability,

similarity, proximity or

functionality. In this perspective, the colors red,

blue, green, etc., may be

viewed as labels of granules of perception of color.

Precision carries a cost. This is the main reason

why in most of its

applications, the machinery of fuzzy logic is

employed to exploit the

tolerance for imprecision to achieve tractability,

robustness, and low solution

cost. This is what underlies the remarkable human

capability to perform a

wide variety of physical and mental tasks, e.g.,

drive in city traffic, based

solely on perceptions, without any measurements and

any computations. It

is this capability that motivated the development of

fuzzy-logic-based

computational theory of perceptions (CTP). Existing

theories and, in

particular, probability theory, do not have the

capability to operate on

perception-based information.

The computational theory of perceptions is a branch

of the

fuzzy-logic-based methodology of computing with

words (CW).

Development of the methodology of computing with

words is an important

event in the evolution of fuzzy logic. Eventually,

it may lead to a radical

enlargement of the role of natural languages in

information processing,

decision, and control.

Location

In Building 320, Room 105 on the Stanford University

Campus.

When?

The Seminar will be on Wednesday, April 17 at 7:30

in the evening with

light refreshments served from 7:00 to 7:30.

About the Speaker

Lofti Zadeh is an IEEE Fellow and 1995 IEEE Medal of

Honor Recipient,

he is a Professor in the Graduate School and

director of the Berkeley

Initiative in Soft Computing (BISC), Computer

Science Division and the

Electronics Laboratory, Department of EECS,

University of California,

Berkeley. Dr. Zadeh is the original creator of Fuzzy

Logic.

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