03297nam a22005057a 4500001001500000003000900015005001700024007001500041008004100056020003700097024003500134050000900169072001600178072002300194082001400217100002900231245009000260264008200350300003400432336002600466337002600492338003600518347002400554490006300578505040000641520116401041650001702205650003502222650001702257650002402274650003202298650001702330650003202347650004302379650004002422650005602462710003402518773002002552776003602572830006302608856004802671912001402719942004102733999001702774sulb-eb0024464BD-SySUS20160413122441.0cr nn 008mamaa121214s2013 gw | s |||| 0|eng d a97836423522189978-3-642-35221-87 a10.1007/978-3-642-35221-82doi 4aQ342 7aUYQ2bicssc 7aCOM0040002bisacsh04a006.32231 aBede, Barnabas.eauthor.10aMathematics of Fuzzy Sets and Fuzzy Logich[electronic resource] /cby Barnabas Bede. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg :bImprint: Springer,c2013. aXII, 276 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aStudies in Fuzziness and Soft Computing,x1434-9922 ;v2950 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. 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. . 0aEngineering. 0aComputer sciencexMathematics. 0aGame theory. 0aMathematical logic. 0aComputational intelligence.14aEngineering.24aComputational Intelligence.24aMath Applications in Computer Science.24aMathematical Logic and Foundations.24aGame Theory, Economics, Social and Behav. Sciences.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783642352201 0aStudies in Fuzziness and Soft Computing,x1434-9922 ;v29540uhttp://dx.doi.org/10.1007/978-3-642-35221-8 aZDB-2-ENG 2Dewey Decimal ClassificationceBooks c46556d46556