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

UR - http://www.scopus.com/inward/citedby.url?scp=70450225530&partnerID=8YFLogxK

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 -