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024 7 $a10.1007/978-3-642-35221-8
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035   $a(DE-He213)978-3-642-35221-8
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100   $a20121228d2013      uy         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMathematics of fuzzy sets and fuzzy logic /$fBarnabas Bede
205   $a1st ed. 2013.
210   $aHeidelberg ;$aNew York $cSpringer$dc2013
215   $a1 online resource (XII, 276 p.) 
225 1 $aStudies in fuzziness and soft computing ;$v295
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a9783642352201 
311 08$a3642352200 
320   $aIncludes bibliographical references and index.
327   $a1 Fuzzy Sets -- 2 Fuzzy Set-Theoretic Operations -- 3 Fuzzy Relations -- 4 Fuzzy numbers -- 5 Fuzzy Arithmetic -- 6 Fuzzy Inference -- 7 Single Input Single Output Fuzzy Systems -- 8 Fuzzy Analysis -- 9 Fuzzy Differential Equations -- 10 Extensions of Fuzzy Set Theory -- 11 Possibility Theory -- 12 Fuzzy Clustering -- 13 Fuzzy Transform -- 14 Arti cial Neural Networks and Neuro-Fuzzy Systems.
330   $aThis book presents a mathematically-based introduction into the fascinating topic of Fuzzy Sets and Fuzzy Logic and might be used as textbook at both undergraduate and graduate levels and also as reference guide for mathematician, scientists or engineers who would like to get an insight into Fuzzy Logic.   Fuzzy Sets have been introduced by Lotfi Zadeh in 1965 and since then, they have been used in many applications. As a consequence, there is a vast literature on the practical applications of fuzzy sets, while theory has a more modest coverage. The main purpose of the present book is to reduce this gap by providing a theoretical introduction into Fuzzy Sets based on Mathematical Analysis and Approximation Theory. Well-known applications, as for example fuzzy control, are also discussed in this book and placed on new ground, a theoretical foundation. Moreover, a few advanced chapters and several new results are included. These comprise, among others, a new systematic and constructive approach for fuzzy inference systems of Mamdani and Takagi-Sugeno types, that investigates their approximation capability by providing new error estimates.  .
410  0$aStudies in fuzziness and soft computing ;$vv. 295.
606   $aFuzzy sets
606   $aFuzzy logic
615  0$aFuzzy sets.
615  0$aFuzzy logic.
676   $a511.3/223
700   $aBede$b Barnabas$0755653
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910437764603321
996   $aMathematics of Fuzzy Sets and Fuzzy Logic$92515979
997   $aUNINA