TY - GEN
T1 - Order relations, convexities, and Jensen’s integral inequalities in interval and fuzzy spaces
AU - da Costa, Tiago Mendonça
AU - Chalco-Cano, Yurilev
AU - de Barros, Laécio Carvalho
AU - Silva, Geraldo Nunes
N1 - Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.
PY - 2018
Y1 - 2018
N2 - This study presents new interval and fuzzy versions of the Jensen’s integral inequality, which extend the classical Jensen’s integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities for interval-valued functions are interpreted through the preference order relations given by Ishibuchi and Tanaka, which are useful for dealing with interval optimization problems. The order relations adopted in the space of fuzzy intervals are extensions of those considered the interval spaces.
AB - This study presents new interval and fuzzy versions of the Jensen’s integral inequality, which extend the classical Jensen’s integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities for interval-valued functions are interpreted through the preference order relations given by Ishibuchi and Tanaka, which are useful for dealing with interval optimization problems. The order relations adopted in the space of fuzzy intervals are extensions of those considered the interval spaces.
KW - Fuzzy-interval-valued functions
KW - Interval-valued functions
KW - Jensen’s integral inequality
UR - https://www.scopus.com/pages/publications/85051039205
U2 - 10.1007/978-3-319-95312-0_39
DO - 10.1007/978-3-319-95312-0_39
M3 - Conference contribution
AN - SCOPUS:85051039205
SN - 9783319953113
T3 - Communications in Computer and Information Science
SP - 450
EP - 463
BT - Fuzzy Information Processing - 37th Conference of the North American Fuzzy Information Processing Society, NAFIPS 2018, Proceedings
A2 - Barreto, Guilherme A.
A2 - Coelho, Ricardo
PB - Springer Nature
T2 - 37th Conference of the North American Fuzzy Information Processing Society, NAFIPS 2018
Y2 - 4 July 2018 through 6 July 2018
ER -