REPRESENTATION THEOREM OF INTERVAL-VALUED FUZZY SET.

Authors :: ZENG, WENYI
SHI, YU
LI, HONGXING
Source :: International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems. Jun2006, Vol. 14 Issue 3, p259-269. 11p.
Publication Year :: 2006
Abstract: In this paper, we introduce the concept of interval-valued nested set on the universal set X, propose two representation theorems and equivalent classification theorem of interval-valued fuzzy set. These works can be used in setting up the basic theory of interval-valued fuzzy set. [ABSTRACT FROM AUTHOR]

Subjects :: *FUZZY sets
*SET theory
*MATHEMATICS
*INTERVAL functions
*FUZZY numbers
*DISCRIMINANT analysis

Language :: English
ISSN :: 02184885
Volume :: 14
Issue :: 3
Database :: Academic Search Index
Journal :: International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems
Publication Type :: Academic Journal
Accession number :: 21287965
Full Text :: https://doi.org/10.1142/S0218488506003996