TY - JOUR
T1 - Different optimum notions for fuzzy functions and optimality conditions associated
AU - Osuna-Gómez, R.
AU - Hernández-Jiménez, B.
AU - Chalco-Cano, Y.
AU - Ruiz-Garzón, G.
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media New York.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - Fuzzy numbers have been applied on decision and optimization problems in uncertain or imprecise environments. In these problems, the necessity to define optimal notions for decision-maker’s preferences as well as to prove necessary and sufficient optimality conditions for these optima are essential steps in the resolution process of the problem. The theoretical developments are illustrated and motivated with several numerical examples.
AB - Fuzzy numbers have been applied on decision and optimization problems in uncertain or imprecise environments. In these problems, the necessity to define optimal notions for decision-maker’s preferences as well as to prove necessary and sufficient optimality conditions for these optima are essential steps in the resolution process of the problem. The theoretical developments are illustrated and motivated with several numerical examples.
KW - Crisp order relation
KW - Differentiable fuzzy mappings
KW - Fuzzy numbers
KW - Fuzzy optimization
KW - Interval order relation
KW - Stationary fuzzy point
UR - https://www.scopus.com/pages/publications/85015197511
U2 - 10.1007/s10700-017-9269-9
DO - 10.1007/s10700-017-9269-9
M3 - Article
AN - SCOPUS:85015197511
SN - 1568-4539
VL - 17
SP - 177
EP - 193
JO - Fuzzy Optimization and Decision Making
JF - Fuzzy Optimization and Decision Making
IS - 2
ER -