TY - GEN
T1 - A maximin approach for the bi-criteria 0-1 random fuzzy programming problem based on the necessity measure
AU - Hasuike, Takashi
AU - Katagiri, Hideki
AU - Ishii, Hiroaki
PY - 2009/11/30
Y1 - 2009/11/30
N2 - This paper considers a bi-criteria general 0-1 random fuzzy programming problem based on the degree of necessity which include some previous 0-1 stochastic and fuzzy programming problems. The proposal problem is not well-defined due to including randomness and fuzziness. Therefore, by introducing chance constraint and fuzzy goals for objectives, and considering the maximization of the aspiration level for total profit and the degree of necessity that the objective function's value satisfies the fuzzy goal, the main problem is transformed into a deterministic equivalent problem. Furthermore, by using the assumption that each random variable is distributed according to a normal distribution, the problem is equivalently transformed into a basic 0-1 programming problem, and the efficient strict solution method to find an optimal solution is constructed.
AB - This paper considers a bi-criteria general 0-1 random fuzzy programming problem based on the degree of necessity which include some previous 0-1 stochastic and fuzzy programming problems. The proposal problem is not well-defined due to including randomness and fuzziness. Therefore, by introducing chance constraint and fuzzy goals for objectives, and considering the maximization of the aspiration level for total profit and the degree of necessity that the objective function's value satisfies the fuzzy goal, the main problem is transformed into a deterministic equivalent problem. Furthermore, by using the assumption that each random variable is distributed according to a normal distribution, the problem is equivalently transformed into a basic 0-1 programming problem, and the efficient strict solution method to find an optimal solution is constructed.
KW - 0-1 programming problem
KW - Degree of necessity
KW - Maximm approach
KW - Random fuzzy variables
KW - Relaxation problem
UR - http://www.scopus.com/inward/record.url?scp=70450225530&partnerID=8YFLogxK
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U2 - 10.1063/1.3256262
DO - 10.1063/1.3256262
M3 - Conference contribution
AN - SCOPUS:70450225530
SN - 9780735407138
T3 - AIP Conference Proceedings
SP - 69
EP - 82
BT - IAENG Transactions on Engineering Technologies Volume 3 - Special Edition of the International MultiConference of Engineers and Computer Scientists 2009
T2 - International MultiConference of Engineers and Computer Scientists, IMECS 2009
Y2 - 18 March 2009 through 20 March 2009
ER -