computation with words

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    COMPUTINGWITHWORDS

    PRESENTATION BY

    ANANYA BANERJEEAND

    SHREYA MUKHERJEE

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    WHAT IS COMPUTING AND CW?

    Computing, in its usual sense, is centeredon manipulation of numbers and symbols

    Computing with words is inspired by theremarkable human capability to perform awide variety of physical and mental taskswithout any measurements and any

    computations.

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    From manipulation ofmeasurements to manipulation of

    perception Human brains crucialability to manipulate perceptions perceptions of size. Perception of distance. Perception of weight. Perception of speed, time, direction

    etc

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    REAL LIFE

    APPLICATIONS OF CW Parking a car Driving in heavy traffic

    Playing golf Riding a bicycle Understanding speech and

    summarizing a story

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    Difference betweenperceptions and

    measurements Measurements are crisp

    Perceptions are fuzzy

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    Examples of linguistic characterization ofperceptions drawn from everyday

    experiences are: Robert is highly intelligent Carol is very attractive

    Hans is young Most Americans are tall

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    GRANULATION

    Granule:

    a clump of physical or mental

    objects(points) drawn together byindistinguishability, similarity,functionality.

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    GRANULATION HIERARCHY

    Granulation

    Information

    (IG)

    Crisp

    (CIG)

    Fuzzy

    (FIG)

    Action

    (AG)

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    CIG

    Crisp

    Wide range of applications (e.g. Quantization,Semantic Analysis, Image Segmentation etc)

    Drawback:Fails to reflect the fact that most humanperception are fuzzy rather than crisp.

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    FIG

    Fuzzy

    The laying foundation of PERCEPTUAL

    COMPUTING.

    Human way of making rational decisions in anenvironment of imprecision , uncertainty & partialtruth.

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    Crisp setA classical crisp set is defined as acollection of elements or objects x

    that belongs to X which can befinite,countable or overcountable.

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    FUZZY SET If X is a collection of objectsdenoted by x then a fuzzy set in Xis a set of ordered pairs

    ={(x, (x))| x belongs to X)} (x) is called the membership

    function which gives the degree oftruth.

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    What is CTP?

    The computational theory of

    perceptions, or CTP for short,is based on the methodology ofcomputing with words (CW).

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    Principal rationales for the use of

    CW:

    The dont know rationale

    The dont need rationale The cant solve rationale The cant define rationale.

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    CONCLUSION In coming years, computing withwords and perceptions is likely to

    emerge as an important direction inscience and technology.

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    WEBOGRAPHY WWW.GOOGLE.COM

    http://http.cs.berkeley.edu/People/Faculty/Homepages/zadeh.html

    http://www.google.com/http://www.google.com/
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    THANK YOU