A Maximin Approach for the Bi-criteria 0-1 Random Fuzzy Programming Problem Based on the Necessity Measure
- Graduate School of Information Science and Technology, Osaka University, Japan 2-1 Yamadaoka, Suite, Osaka 565-0871 (Japan)
- Graduate School of Engineering, Hiroshima University, Japan 1-4-1 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8527 (Japan)
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.
- OSTI ID:
- 21325571
- Journal Information:
- AIP Conference Proceedings, Vol. 1174, Issue 1; Conference: International multiconference of engineers and computer scientists 2009, Hong Kong (China), 28-30 Mar 2009; Other Information: DOI: 10.1063/1.3256262; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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