000 04295nam a22003855i 4500
001 279700
003 MX-SnUAN
005 20160429153955.0
007 cr nn 008mamaa
008 150903s2009 xxu| o |||| 0|eng d
020 _a9780387768526
_99780387768526
024 7 _a10.1007/9780387768526
_2doi
035 _avtls000332748
039 9 _a201509030758
_bVLOAD
_c201404122237
_dVLOAD
_c201404092008
_dVLOAD
_y201402041037
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA312-312.5
100 1 _aWang, Zhenyuan.
_eautor
_9304172
245 1 0 _aGeneralized Measure Theory /
_cby Zhenyuan Wang, George J. Klir.
264 1 _aBoston, MA :
_bSpringer US,
_c2009.
300 _axvI, 384 páginas 50 ilustraciones, 25 ilustraciones en color.
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aIFSR International Series on Systems Science and Engineering,
_x1574-0463 ;
_v25
500 _aSpringer eBooks
505 0 _aPreliminaries -- Basic Ideas of Generalized Measure Theory -- Special Areas of Generalized Measure Theory -- Extensions -- Structural Characteristics for Set Functions -- Measurable Functions on Monotone Measure Spaces -- Integration -- Sugeno Integrals -- Pan-Integrals -- Choquet Integrals -- Upper and Lower Integrals -- Constructing General Measures -- Fuzzification of Generalized Measures and the Choquet Integral -- Applications of Generalized Measure Theory.
520 _aThis comprehensive text examines the relatively new mathematical area of generalized measure theory. This area expands classical measure theory by abandoning the requirement of additivity and replacing it with various weaker requirements. Each of these weaker requirements characterizes a class of nonadditive measures. This results in new concepts and methods that allow us to deal with many problems in a more realistic way. For example, it allows us to work with imprecise probabilities. The exposition of generalized measure theory unfolds systematically. It begins with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory. About the Authors: Zhenyuan Wang is currently a Professor in the Department of Mathematics of University of Nebraska at Omaha. His research interests have been in the areas of nonadditive measures, nonlinear integrals, probability and statistics, and data mining. He has published one book and many papers in these areas. George J. Klir is currently a Distinguished Professor of Systems Science at Binghamton University (SUNY at Binghamton). He has published 29 books and well over 300 papers in a wide range of areas. His current research interests are primarily in the areas of fuzzy systems, soft computing, and generalized information theory.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aKlir, George J.
_eautor
_9300632
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387768519
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-76852-6
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c279700
_d279700