16096 fuzzy applications

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    Fuzzy Sets Fuzzy Arithmetic Fuzzy Relations

    Fuzzy Logic Fuzzy Measure (Possibility Theory) Design Process and Design Tools A lications! e" ert systems# $uzzy controllers#

    attern recognition# databases and in$ormationretrie%al# decision ma&ing'

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    Te"tboo&! Fuzzy Sets and Fuzzy Logic# Theory andA lications eorge *' +lir , -o .uan# Prentice/all# 0112'

    Re$' 3

    Fuzzy sets# 4ncertainty# and 5n$ormation# ' *' +lir andTina A' Floger# Prentice /all# 0166' 3 Fuzzy Set Theory and 5ts A lications# /' 7*'

    8immermann# 0110' 3 Fuzzy Logic! 5ntelligence# 9ontrol# and 5n$ormation#

    *ohn .en# Reza Langari# Prentice /all# 0111' 3 Fuzzy :ngineering# -art +os&o# Prentice /all# 011;' 3 #

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    ' Fuzziness is one $eature o$ natural language sodoes not necessarily im ly the loss o$

    meaning$ul semantics'2' A lication roadma o$ in$ormation technology!

    numerical analysis# large database# &no@ledgemanagement' So# @e must $irst &no@ thecharacteristics o$ the @orld and its &no@ledge#then e" lore the ossibility and limitation o$&no@ledge'

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    ;' Traditional A5 aradigms! $irst order logic (*ohnMc9arthy# Cilsson +o@als&i) ad7hoc techni uesand heuristic rocedures' (Mar%in Mins&y (M5T)#Roger Schan&)' L' 8adeh! using $uzzy logic(a ro"imate reasoning# non7discrete) instead o$$irst order logic as the basis o$ A5 in commonsense reasoning'

    8. !"#$%&'( ) *+,!"-./0$1 fuzzy knowledge( $ discrete ) 2common-sense reasoning ,34 5%

    1' La@ o$ 5ncom atibility! As com le"ity rises# recise statements lose meaning and meaning$ulstatements lose recision'

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    Fuzzy logic denotes a retreat $orm unrealisticre uirement o$ recision' ( 4@C6 DEF4@GH ) 3 IJKL MNOPQRS 3

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    -remetmann limit! Co data rocessing system#@hether arti$icial or li%ing# can rocess more than

    bits er second er gram o$ its mass' ( uantumtheory) transcom utational roblems

    /o@ to deal @ith systems and associated roblems@hose com le"ities are beyond our in$ormation

    rocessing limits

    A;0=<

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    Fuzzy logic and 5tGs A lications

    9ontents!0' 5ntroduction o$ Fuzzy Set theory

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    5ntroduction

    01B2 Fuzzy Set (Pro$' Lot$i A'8adeh#49-)01BB Fuzzy logic (Dr' Peter C'Marinos# -ell

    Lab)

    01;< Fuzzy Measure (Pro$'Michio Sugeno)

    Fuzzy Set

    Fuzzy :%ent

    9ris:lement

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    5ntroduction

    +no@ledge Re resentatione"am le! age (Man Eld)

    traditionalAge (Man t B=)

    >= B= Ages

    0

    Membershi Function

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    5ntroduction

    Fuzzy

    Age (Man Eld)

    >= B= Ages

    0

    Membershi Function

    ='2

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    Fuzzy Logic

    A subset fuzzythein xelement theof membership x A !)(

    E set referencetheof element an x !

    E of subset Fuzzy B A ##

    H0#=I#)#()#( == ba xb xa B A

    )#( ba MIN ba =

    )#( ba MAX ba =

    aa = 0

    )()( bababa =

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    A lication 9ontrol la@s o$ a ?ashing Machine

    Laundry %olume (J)

    Lo@ Mid /igh

    $abric

    uality(K)

    So$tS N ?ea& S N ?ea& S N STDT N Short T N Short T N STD

    More or lessso$t

    S N ?ea& S N STD S N STDT N Short T N STD T N STD

    More or less/ard

    S N ?ea& S N STD S N StrongT N Short T N STD T N Long

    /ard S N ?ea& S N STD S N StrongT N Short T N STD T N Long

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    A lication >Fuzzy Automatic ?ashing Machine

    F488.9ECTREL

    Laundry%olume

    (J)

    /ighMidLo@

    $abricuality

    (K)

    /ardMidSo$t

    Stream strength N ?ea& ?ashing time N Short

    Stream strength N Strong?ashing time N Long

    Stream strength N Strong?ashing time N Short

    (E timal ?ashing 9ycle)

    Stream strength

    ?ashing time

    laundry %olume

    o timum@ater le%el

    $abricuality

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    A lication >Fuzzy7Ceuro ?ashing Machine(Panasonic)

    F488.

    5CF:R:C9:

    C:4RAL C:T

    Tuningmembershi$unctions

    ?ater Le%elKuantity(5CP4T) (E4TP4T)

    Turbidity(E tical sensor)

    9hange RateE$ Turbidity

    ?ater Stream Strength

    ?ashing 9ycle Time

    Rinse 9ycle TimeDrain 9ycle Time

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    A lication >Fuzzy7Ceuro ?ashing Machine(/itachi Sanyo)

    F488. 5CF:R:C9:

    C:4RAL

    C:T

    ?ater Stream StrengthKuality( )(5CP4T)

    (E4TP4T)

    Kuantity(>)

    ?ashing 9ycle Time

    Rinse 9ycle Time

    Drain 9ycle Time

    9EMP:CSAT5EC

    Kuality( )

    Kuantity(>)

    9onducti%itySensor(2)(Room Tem (6) 3 Sanyo)

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    Ad%antages o$ $uzzy system modeling

    0' The ability to model highly com le" business roblems'

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