Special fuzzy measures on infinite countable sets and related aggregation functions

While both additive and symmetric fuzzy measures on a finite universe are completely described by a probability distribution vector, this is no more the case of a countably infinite universe. After a brief discussion of additive fuzzy measures on positive integers, we characterize all symmetric fuzz...

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Bibliographic Details
Published in:	Fuzzy sets and systems Vol. 167; no. 1; pp. 57 - 64
Main Author:	STUPNANOVA, Andrea
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Kidlington Elsevier B.V 30.03.2011 Elsevier
Subjects:	Additive fuzzy measure Applied sciences Choquet integral Circuit properties Computer science; control theory; systems Digital circuits Electric, optical and optoelectronic circuits Electronic circuits Electronics Exact sciences and technology Fuzzy Fuzzy logic Fuzzy set theory Information, signal and communications theory Integers k-Order additivity Mathematical analysis Mathematical methods Mathematics Measure and integration Miscellaneous Operators OWA operator p-Symmetry Sciences and techniques of general use Symmetric fuzzy measure Telecommunications and information theory Theoretical computing Universe Vectors (mathematics) Symmetric fuzzy measure k-Order additivity OWA operator Choquet integral p-Symmetry Additive fuzzy measure Integer Fuzzy system Information processing Probability distribution Fuzzy set
ISSN:	0165-0114, 1872-6801
Online Access:	Get full text
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