skip to content
Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables : An Introduction for Ph.D. Students and Practitioners Preview this item
ClosePreview this item
Checking...

Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables : An Introduction for Ph.D. Students and Practitioners

Author: Inés Couso; Didier Dubois; Luciano Sánchez
Publisher: Cham : Springer, 2014.
Series: SpringerBriefs in Applied Sciences and Technology; SpringerLink : Bücher
Edition/Format:   eBook : EnglishView all editions and formats
Summary:
This 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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Internet Resource
All Authors / Contributors: Inés Couso; Didier Dubois; Luciano Sánchez
ISBN: 9783319086118 3319086111
OCLC Number: 889987341
Description: Online-Ressource (VIII, 97 p. 8 illus, online resource)
Series Title: SpringerBriefs in Applied Sciences and Technology; SpringerLink : Bücher
Responsibility: by Inés Couso, Didier Dubois, Luciano Sánchez.

Abstract:

This 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.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(2)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/889987341> # Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables An Introduction for Ph.D. Students and Practitioners
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "889987341" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/2059618460#Place/cham> ; # Cham
   schema:about <http://dewey.info/class/006.3/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2059618460#Topic/artificial_intelligence> ; # Artificial intelligence
   schema:about <http://experiment.worldcat.org/entity/work/data/2059618460#Topic/engineering> ; # Engineering
   schema:bookFormat schema:EBook ;
   schema:contributor <http://experiment.worldcat.org/entity/work/data/2059618460#Person/sanchez_luciano> ; # Luciano Sánchez
   schema:contributor <http://experiment.worldcat.org/entity/work/data/2059618460#Person/dubois_didier> ; # Didier Dubois
   schema:creator <http://experiment.worldcat.org/entity/work/data/2059618460#Person/couso_ines> ; # Inés Couso
   schema:datePublished "2014" ;
   schema:description "This 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." ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2059618460> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2059618460#Series/springerbriefs_in_applied_sciences_and_technology> ; # SpringerBriefs in Applied Sciences and Technology
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2059618460#Series/springerlink_bucher> ; # SpringerLink : Bücher
   schema:name "Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables An Introduction for Ph.D. Students and Practitioners" ;
   schema:numberOfPages "97" ;
   schema:productID "889987341" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/889987341#PublicationEvent/cham_springer_2014> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/2059618460#Agent/springer> ; # Springer
   schema:url <http://swbplus.bsz-bw.de/bsz412879441cov.htm> ;
   schema:url <http://dx.doi.org/10.1007/978-3-319-08611-8> ;
   schema:workExample <http://dx.doi.org/10.1007/978-3-319-08611-8> ;
   schema:workExample <http://worldcat.org/isbn/9783319086118> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/889987341> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2059618460#Person/couso_ines> # Inés Couso
    a schema:Person ;
   schema:familyName "Couso" ;
   schema:givenName "Inés" ;
   schema:name "Inés Couso" ;
    .

<http://experiment.worldcat.org/entity/work/data/2059618460#Person/dubois_didier> # Didier Dubois
    a schema:Person ;
   schema:familyName "Dubois" ;
   schema:givenName "Didier" ;
   schema:name "Didier Dubois" ;
    .

<http://experiment.worldcat.org/entity/work/data/2059618460#Person/sanchez_luciano> # Luciano Sánchez
    a schema:Person ;
   schema:familyName "Sánchez" ;
   schema:givenName "Luciano" ;
   schema:name "Luciano Sánchez" ;
    .

<http://experiment.worldcat.org/entity/work/data/2059618460#Series/springerbriefs_in_applied_sciences_and_technology> # SpringerBriefs in Applied Sciences and Technology
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/889987341> ; # Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables An Introduction for Ph.D. Students and Practitioners
   schema:name "SpringerBriefs in Applied Sciences and Technology" ;
    .

<http://experiment.worldcat.org/entity/work/data/2059618460#Series/springerlink_bucher> # SpringerLink : Bücher
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/889987341> ; # Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables An Introduction for Ph.D. Students and Practitioners
   schema:name "SpringerLink : Bücher" ;
    .

<http://experiment.worldcat.org/entity/work/data/2059618460#Topic/artificial_intelligence> # Artificial intelligence
    a schema:Intangible ;
   schema:name "Artificial intelligence" ;
    .

<http://worldcat.org/isbn/9783319086118>
    a schema:ProductModel ;
   schema:isbn "3319086111" ;
   schema:isbn "9783319086118" ;
    .

<http://www.worldcat.org/title/-/oclc/889987341>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
   schema:about <http://www.worldcat.org/oclc/889987341> ; # Random Sets and Random Fuzzy Sets as Ill-Perceived Random Variables An Introduction for Ph.D. Students and Practitioners
   schema:dateModified "2018-03-10" ;
   void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.