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008 121214s2013 gw | s |||| 0|eng d
020 _a9783642352218
_9978-3-642-35221-8
024 7 _a10.1007/978-3-642-35221-8
_2doi
050 4 _aQ342
072 7 _aUYQ
_2bicssc
072 7 _aCOM004000
_2bisacsh
082 0 4 _a006.3
_223
100 1 _aBede, Barnabas.
_eauthor.
245 1 0 _aMathematics of Fuzzy Sets and Fuzzy Logic
_h[electronic resource] /
_cby Barnabas Bede.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXII, 276 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Fuzziness and Soft Computing,
_x1434-9922 ;
_v295
505 0 _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.
520 _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.  .
650 0 _aEngineering.
650 0 _aComputer science
_xMathematics.
650 0 _aGame theory.
650 0 _aMathematical logic.
650 0 _aComputational intelligence.
650 1 4 _aEngineering.
650 2 4 _aComputational Intelligence.
650 2 4 _aMath Applications in Computer Science.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642352201
830 0 _aStudies in Fuzziness and Soft Computing,
_x1434-9922 ;
_v295
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-35221-8
912 _aZDB-2-ENG
942 _2Dewey Decimal Classification
_ceBooks
999 _c46556
_d46556