PAN-OPERATIONS STRUCTURE

Authors
MESIAR R RYBARIK J
Citation
R. Mesiar et J. Rybarik, PAN-OPERATIONS STRUCTURE, Fuzzy sets and systems, 74(3), 1995, pp. 365-369
Citations number
9
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
74
Issue
3
Year of publication
1995
Pages
365 - 369
Database
ISI
SICI code
0165-0114(1995)74:3<365:PS>2.0.ZU;2-3
Abstract
The structure of pan-addition + and pan-multiplication . of a commutat ive isotonic semiring (($) over bar R(+), +, .) is analyzed. We show t hat if + not equal V (supremum), then (($) over bar R(+), +, .) is a g -semiring, i.e, a+b = g(-1)(g(a) and g(b)) and a.b = g(-1)(g(a). g(b)) . Conclusions for pan-integrals with respect to a +-measure are shown.