𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on upper and lower Sugeno integrals

✍ Scribed by Toshiaki Murofushi

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
207 KB
Volume
138
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

This paper introduces upper and lower Sugeno integrals and shows that they are representable as the Sugeno integrals with respect to the outer and inner fuzzy measures, respectively.

πŸ“œ SIMILAR VOLUMES

A localic theory of lower and upper inte
A localic theory of lower and upper integrals
✍ Steven Vickers πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 211 KB

## Abstract An account of lower and upper integration is given. It is constructive in the sense of geometric logic. If the integrand takes its values in the non‐negative lower reals, then its lower integral with respect to a valuation is a lower real. If the integrand takes its values in the non‐ne

A note on upper and lower solutions for
A note on upper and lower solutions for singular initial value problems
✍ Ravi P. Agarwal; Donal O'Regan πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 87 KB πŸ‘ 2 views

An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's "xed point theorem and the Arzela}Ascoli theorem.