Multiobjective fuzzy stochastic linear programming problems with inexact probability distribution

Journal Article · Thu Jun 19 00:00:00 EDT 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4882539· OSTI ID:22311368

Hamadameen, Abdulqader Othman ^[1]; Zainuddin, Zaitul Marlizawati ^[2]

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1. Optimization, Department of Mathematical Sciences, Faculty of Science, UTM (Malaysia)
2. Department of Mathematical Sciences, Faculty of Science, UTM (Malaysia)

This study deals with multiobjective fuzzy stochastic linear programming problems with uncertainty probability distribution which are defined as fuzzy assertions by ambiguous experts. The problem formulation has been presented and the two solutions strategies are; the fuzzy transformation via ranking function and the stochastic transformation when α{sup –}. cut technique and linguistic hedges are used in the uncertainty probability distribution. The development of Sen’s method is employed to find a compromise solution, supported by illustrative numerical example.

• OSTI ID: 22311368
• Journal Information: AIP Conference Proceedings, Vol. 1602, Issue 1; Conference: 3. international conference on mathematical sciences, Kuala Lumpur (Malaysia), 17-19 Dec 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FUZZY LOGIC
LINEAR PROGRAMMING
MATHEMATICAL SOLUTIONS
PROBABILITY
STOCHASTIC PROCESSES
TRANSFORMATIONS