Paper Info
Title
Relational Measures and Integration
Abstract
Work in fuzzy modeling has recently made its way from the interval [0,1] Í</font > \mathordI R[0,1]\subseteq {\mathord{\rm I \! R}} to the ordinal or even to the qualitative level. We proceed further and introduce relational measures and relational integration. First ideas of this kind, but for the real-valued linear orderings stem from Choquet (1950s) and Sugeno (1970s). We generalize to not necessarily linear order and handle it algebraically and in a componentfree manner. We thus open this area of research for treatment with theorem provers which would be extremely difficult for the classical presentation of Choquet and Sugeno integrals.
Year
DOI
Venue
2006
10.1007/11828563_23
Relational Methods in Computer Science
Keywords
Field
DocType
plausibility,theorem provers,qualitative level,sugeno integral,evidence and belief,and possibility measures,relational integration,classical presentation,relational measure,necessity,relation algebra,real-valued linear ordering,relational measure.,componentfree manner,linear order,choquet integral,fuzzy modeling,theorem prover
Discrete mathematics,Measure (mathematics),Ordinal number,Sugeno integral,Fuzzy logic,Fuzzy measure theory,Proof theory,Relational algebra,Choquet integral,Mathematics
Conference
Volume
ISSN
ISBN
4136
0302-9743
3-540-37873-1
Citations 
PageRank 
References 
2
0.39
0
Authors
1
Name
Order
Citations
PageRank
Gunther Schmidt120330.70