000 | 03583nam a22005175i 4500 | ||
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001 | 978-3-319-08611-8 | ||
003 | DE-He213 | ||
005 | 20200421112234.0 | ||
007 | cr nn 008mamaa | ||
008 | 140722s2014 gw | s |||| 0|eng d | ||
020 |
_a9783319086118 _9978-3-319-08611-8 |
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024 | 7 |
_a10.1007/978-3-319-08611-8 _2doi |
|
050 | 4 | _aQ342 | |
072 | 7 |
_aUYQ _2bicssc |
|
072 | 7 |
_aCOM004000 _2bisacsh |
|
082 | 0 | 4 |
_a006.3 _223 |
100 | 1 |
_aCouso, In�es. _eauthor. |
|
245 | 1 | 0 |
_aRandom Sets and Random Fuzzy Sets as Ill-Perceived Random Variables _h[electronic resource] : _bAn Introduction for Ph.D. Students and Practitioners / _cby In�es Couso, Didier Dubois, Luciano S�anchez. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
|
300 |
_aVIII, 97 p. 8 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aSpringerBriefs in Applied Sciences and Technology, _x2191-530X |
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505 | 0 | _aIntroduction -- Random sets as ill-perceived random variables -- Random fuzzy sets as ill-perceived random variables. | |
520 | _aThis short book provides a unified view of the history and theory of random sets and fuzzy random variables, with special emphasis on its use for representing higher-order non-statistical uncertainty about statistical experiments. The authors lay bare the existence of two streams of works using the same mathematical ground, but differing form their use of sets, according to whether they represent objects of interest naturally taking the form of sets, or imprecise knowledge about such objects. Random (fuzzy) sets can be used in many fields ranging from mathematical morphology, economics, artificial intelligence, information processing and statistics per se, especially in areas where the outcomes of random experiments cannot be observed with full precision. This book also emphasizes the link between random sets and fuzzy sets with some techniques related to the theory of imprecise probabilities. This small book is intended for graduate and doctoral students in mathematics or engineering, but also provides an introduction for other researchers interested in this area. It is written from a theoretical perspective. However, rather than offering a comprehensive formal view of random (fuzzy) sets in this context, it aims to provide a discussion of the meaning of the proposed formal constructions based on many concrete examples and exercises. This book should enable the reader to understand the usefulness of representing and reasoning with incomplete information in statistical tasks.  Each chapter ends with a list of exercises. | ||
650 | 0 | _aEngineering. | |
650 | 0 | _aArtificial intelligence. | |
650 | 0 | _aStatistics. | |
650 | 0 | _aComputational intelligence. | |
650 | 1 | 4 | _aEngineering. |
650 | 2 | 4 | _aComputational Intelligence. |
650 | 2 | 4 | _aArtificial Intelligence (incl. Robotics). |
650 | 2 | 4 | _aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. |
700 | 1 |
_aDubois, Didier. _eauthor. |
|
700 | 1 |
_aS�anchez, Luciano. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319086101 |
830 | 0 |
_aSpringerBriefs in Applied Sciences and Technology, _x2191-530X |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-08611-8 |
912 | _aZDB-2-ENG | ||
942 | _cEBK | ||
999 |
_c58143 _d58143 |