TY - JOUR
ID - 14777
TI - Generalization of the concept of equitable efficiency in multiobjective optimization problems
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Foroutannia, Davoud
AU - Merati, Mina
AD - Department of Mathematics, Vali Asr University of Rafsanjan, Rafsanjan, Iran
Y1 - 2019
PY - 2019
VL - 9
IS - 2
SP - 171
EP - 190
KW - Efficient solution
KW - Nondominated
KW - Equitable
KW - Preference relation
KW - Multiobjective optimization
DO - 10.22055/jamm.2019.26673.1614
N2 - The main purpose of the paper is to generalize the concept of equitable efficiency by introducing the concept of equitable A-efficiency, where A is an arbitrary matrix with non-negative entries. Two conditions are provided to ensure that the relation of equitable A-dominance is an equitable rational preference relation. Furthermore the structure of equitably A-efficient set is investigated and is proved that the set of equitably A-efficient solutions is contained within the set of efficient. Hence to reduce Pareto-optimal solutions, we can use equitably A-efficient solutions.
UR - https://jamm.scu.ac.ir/article_14777.html
L1 - https://jamm.scu.ac.ir/article_14777_a189f2adc9afc8b0d37a6fb3397371e1.pdf
ER -