A new concept for fuzzy variable based non-linear programming problem with application on system reliability via genetic algorithm approach

G. S. Mahapatra (), B. S. Mahapatra and P. K. Roy
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G. S. Mahapatra: National Institute of Technology Puducherry
B. S. Mahapatra: Jadavpur University
P. K. Roy: Jadavpur University

Annals of Operations Research, 2016, vol. 247, issue 2, No 23, 853-866

Abstract: Abstract Fuzziness is the primary and foremost perception of science and technology. This paper, for the first time, introduces a new concept on solution technique for fuzzy variable based non-linear programming problem with both decision variables and restriction being fuzzy in nature. First the problem is transformed in to a multi-objective non-linear programming problem, and then solving it by multiobjective genetic algorithm (MOGA) approach. The proposed procedure is applied on complex system reliability model to evaluate the system reliability in fuzzy environment, using MOGA by implementing new feature as refining operation. Numerical example is presented to illustrate proposed fuzzy system reliability model.

Keywords: Fuzzy variable; Fuzzy non-linear programming; Reliability; Complex system; Genetic algorithm; Triangular fuzzy number (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10479-015-1863-z

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