TY - JOUR
T1 - Multiobjective random fuzzy linear programming problems based on the possibility maximization model
AU - Hasuike, Takashi
AU - Katagiri, Hideki
AU - Ishii, Hiroaki
PY - 2009/1/1
Y1 - 2009/1/1
N2 - Two multiobjective random fuzzy programming problems considered based on the possibility maximization model using possibilistic and stochastic programming are not initially well defined due to the random variables and fuzzy numbers included. To solve them analytically, probability criteria are set for objective functions and chance constraints are introduced. Taking into account the decision maker's subjectivity and the original plan's flexibility, a fuzzy goal is introduced for each objective function. The original problems are then changed into deterministic equivalent problems to make the possibility fractile optimization problem equivalent to a linear programming problem. The possibility maximization problem for probability is changed into a nonlinear programming problem, and an analytical solution is constructed extending previous solution approaches.
AB - Two multiobjective random fuzzy programming problems considered based on the possibility maximization model using possibilistic and stochastic programming are not initially well defined due to the random variables and fuzzy numbers included. To solve them analytically, probability criteria are set for objective functions and chance constraints are introduced. Taking into account the decision maker's subjectivity and the original plan's flexibility, a fuzzy goal is introduced for each objective function. The original problems are then changed into deterministic equivalent problems to make the possibility fractile optimization problem equivalent to a linear programming problem. The possibility maximization problem for probability is changed into a nonlinear programming problem, and an analytical solution is constructed extending previous solution approaches.
KW - Multiobjective model
KW - Random fuzzy programming
KW - Stochastic and fuzzy programming
UR - http://www.scopus.com/inward/record.url?scp=77749314637&partnerID=8YFLogxK
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U2 - 10.20965/jaciii.2009.p0373
DO - 10.20965/jaciii.2009.p0373
M3 - Article
AN - SCOPUS:77749314637
SN - 1343-0130
VL - 13
SP - 373
EP - 379
JO - Journal of Advanced Computational Intelligence and Intelligent Informatics
JF - Journal of Advanced Computational Intelligence and Intelligent Informatics
IS - 4
ER -