WEAK FUZZY S-SUBSETHOOD MEASURES:: OVERLAP INDEX.

Authors :: Bustince, H.
Barrenechea, E.
Pagola, M.
Soria, F.
Source :: International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems. Oct2006, Vol. 14 Issue 5, p537-560. 24p. 1 Diagram, 4 Charts.
Publication Year :: 2006
Abstract: Starting from the definitions of the weak fuzzy subsethood measure (V.R. Young, Fuzzy subsethood. Fuzzy Sets and Systems, 77 (1996) 371–384) and of strong fuzzy inclusion, (D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, New York, Academic Press, 1980) we define weak fuzzy S-subsethood measures. We analyze their axiomatization and present various constructions obtained by aggregating implication operators with special properties. We conclude by presenting the conditions under which we can construct fuzzy entropies and overlap indices from these measures. [ABSTRACT FROM AUTHOR]

Subjects :: *FUZZY sets
*AXIOMS
*AGGREGATION operators
*NEGATION (Logic)
*OVERLAP integral

Language :: English
ISSN :: 02184885
Volume :: 14
Issue :: 5
Database :: Academic Search Index
Journal :: International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems
Publication Type :: Academic Journal
Accession number :: 22673714
Full Text :: https://doi.org/10.1142/S0218488506004187