TRIANGULAR-NORM-BASED ADDITION OF FUZZY INTERVALS

Authors
MESIAR R
Citation
R. Mesiar, TRIANGULAR-NORM-BASED ADDITION OF FUZZY INTERVALS, Fuzzy sets and systems, 91(2), 1997, pp. 231-237
Citations number
15
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
91
Issue
2
Year of publication
1997
Pages
231 - 237
Database
ISI
SICI code
0165-0114(1997)91:2<231:TAOFI>2.0.ZU;2-3
Abstract
Triangular-norm-base addition of fuzzy intervals on the extended real line is reduced to the addition of shapes on [0, infinity]. The additi on of fuzzy intervals, including LR-fuzzy intervals, LR-fuzzy numbers, LT-and TR-fuzzy numbers, based on limit t-norms is recalled. For cont inuous Archimedean t-norms, special types of incoming summands allowin g the exact output computation are introduced. Several examples are gi ven. (C) 1997 Elsevier Science B.V.