## Computing with WordsFuzzy logic refers to a computer's ability to make decisions involving "grey" or "fuzzy" areas. As linguistics contains numerous "grey" areas, computing with words through the use of fuzzy logic is an extremely hot topic in database and Internet research. This book explores the state of the art in linguistic computation, discussing how current research findings are extending the application of fuzzy logic beyond control engineering and intelligent systems into the use of language on a computer. Fuzzy logic pioneer, Dr. Lofti Zadeh, provides the introduction for this thought-provoking work. |

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Page 56

where A o B denotes the composition of A and B. Extension Principle ( Mapping Rule ) ( 34,40 ) : X is A f ( x ) is f ( A ) where f : U V , and f ( A ) is

where A o B denotes the composition of A and B. Extension Principle ( Mapping Rule ) ( 34,40 ) : X is A f ( x ) is f ( A ) where f : U V , and f ( A ) is

**defined**by . Mf ( a ) ( v ) = sup Hg ( u ) uv = f ( u ) Inverse Mapping Rule : f ...Page 353

The composition of two fuzzy relations E and I , with Hy ( x , y ) = 4x ( x - y ) and Me ( y , z ) = Ml ( y – z ) , is

The composition of two fuzzy relations E and I , with Hy ( x , y ) = 4x ( x - y ) and Me ( y , z ) = Ml ( y – z ) , is

**defined**by = - Vx , Vz , Heol ( x , z ) = supyey min ( 4x ( x - y ) , Hz ( y – z ) ) = sups , min ( ux ( s ) ...Page 435

... 15 , 39-42 computational verbs , 86 , 368 , 427 as dynamic systems , 411 formal

... 15 , 39-42 computational verbs , 86 , 368 , 427 as dynamic systems , 411 formal

**definition**, 413-415 computational verb systems , 26 , 85–86 . See also computational process symbols**defined**, 368 motivations for , 368-370 computer ...### What people are saying - Write a review

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### Contents

FROM COMPUTING WITH NUMBERS TO COMPUTING WITH | 32 |

THE PROBLEMS | 69 |

GRANULAR RELATIONAL COMPUTING WITH SEMIOTIC | 85 |

Copyright | |

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### Common terms and phrases

according adverbs agents algorithms allow analysis applications approach basic called chaotic cognitive communication complex computing with words concept considered constraints context corresponding decision defined Definition described domain dynamic elements entities environment equality example expert expressed extraction Figure formal function fuzzy logic fuzzy relations fuzzy set given granularity granulation human identified important inference intelligent internal interpretation knowledge learning linguistic mathematical meaning methods modified natural language objects observed operator particular perceptions performance phrase points possible precision presented principle probability problem procedures properties propositions query Question reasoning reference representation represented respectively rules semantic semiotic sense sentence shown shows signal situations space specific speech structures symbols Syst t-norms Table texts theory tion truth understanding University values variables verb weighted Zadeh