Indistinguishability Operators (Record no. 107133)

000 -LEADER
fixed length control field 03033nam a22004455i 4500
001 - CONTROL NUMBER
control field 978-3-642-16222-0
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220083748.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 101001s2011 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642162220
-- 978-3-642-16222-0
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-16222-0
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number Q342
072 #7 - SUBJECT CATEGORY CODE
Subject category code UYQ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code COM004000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 006.3
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Recasens, Jordi.
Relator term author.
245 10 - TITLE STATEMENT
Title Indistinguishability Operators
Medium [electronic resource] :
Remainder of title Modelling Fuzzy Equalities and Fuzzy Equivalence Relations /
Statement of responsibility, etc by Jordi Recasens.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2011.
300 ## - PHYSICAL DESCRIPTION
Extent 262p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Studies in Fuzziness and Soft Computing,
International Standard Serial Number 1434-9922 ;
Volume number/sequential designation 260
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction -- Granularity and Extensional Sets -- Isometries Between Indistinguishability Operators -- min-indistinguishability Operators and Hierarchical Trees -- Betweenness Relations -- Dimension and Basis -- Aggregation of Indistinguishability Operators -- Making Proximities Transitive -- Fuzzy Functions -- Indistinguishability Operators and Approximate Reasoning -- Vague Groups -- Finitely Valued Indistinguishability Operators.
520 ## - SUMMARY, ETC.
Summary, etc Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. This book collects all the main aspects of these operators in a single volume for the first time. The stress is put on the study of their structure and the monograph starts presenting the different ways in which indistinguishability operators can be generated and represented. Special attention is paid to the Representation Theorem and the Sup-T product. Extensionality of fuzzy subsets is studied in detail and is related to their observability and to the granularity. The metric behaviour of indistinguishability operators and their connection with cluster analysis and hierarchical trees is established. Different ways to aggregate such operators are given as well as a number of methods to obtain transitive approximations of a fuzzy relation. Applications to approximate reasoning and to the study of fuzzy subgroups are also provided. The book ends with a chapter on finite-valued indistinguishability operators.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Engineering.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Artificial intelligence.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Engineering.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computational Intelligence.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Artificial Intelligence (incl. Robotics).
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642162213
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Studies in Fuzziness and Soft Computing,
-- 1434-9922 ;
Volume number/sequential designation 260
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-16222-0
912 ## -
-- ZDB-2-ENG

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