TY - JOUR
ID - 24511
TI - The concept of B-efficient solution in fair multiobjective optimization problems
JO - Iranian Journal of Numerical Analysis and Optimization
JA - IJNAO
LA - en
SN - 2423-6977
AU - Foroutannia, D.
AU - Mahmodinejad, A.
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
AD - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
Y1 - 2017
PY - 2017
VL - 7
IS - 1
SP - 47
EP - 64
KW - Fair optimization
KW - Nondominated
KW - Equitabilit y
KW - B-effciency
KW - Scalarization
DO - 10.22067/ijnao.v7i1.43960
N2 - A problem that sometimes occurs in multiobjective optimization is the existence of a large set of fairly effcient solutions. Hence, the decision making based on selecting a unique preferred solution is diffcult. Considering models with fair B-effciency relieves some of the burden from the decision maker by shrinking the solution set, since the set of fairly B-eﬃcient solutions is contained within the set of fairly effcient solutions for the same problem. In this paper, ﬁrst some theoretical and practical aspects of fairly B- effcient solutions are discussed. Then, some scalarization techniques are developed to generate fairly B-effcient solutions.
UR - https://ijnao.um.ac.ir/article_24511.html
L1 - https://ijnao.um.ac.ir/article_24511_f63d7613e52d892f1b1e21b32d8b4ed8.pdf
ER -