A Maximin Approach for the Bicriteria 01 Random Fuzzy Programming Problem Based on the Necessity Measure
Abstract
This paper considers a bicriteria general 01 random fuzzy programming problem based on the degree of necessity which include some previous 01 stochastic and fuzzy programming problems. The proposal problem is not welldefined 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 01 programming problem, and the efficient strict solution method to find an optimal solution is constructed.
 Publication:

Iaeng Transactions on Engineering Technologies Volume 3: Special Edition of the International MultiConference of Engineers and Computer Scientists 2009
 Pub Date:
 October 2009
 DOI:
 10.1063/1.3256262
 Bibcode:
 2009AIPC.1174...69H
 Keywords:

 fuzzy logic;
 neural nets;
 stochastic systems;
 07.05.Mh;
 84.35.+i;
 02.50.Fz;
 Neural networks fuzzy logic artificial intelligence;
 Neural networks;
 Stochastic analysis