A fuzzy robust linear programming problem with hybrid variables

Javad Nematian

International Journal of Industrial and Systems Engineering, 2015, vol. 19, issue 4, 515-546

Abstract: This paper proposes a fuzzy robust linear programming (FRLP) problem where the coefficients of objective function and constraints contain both fuzziness and randomness. It is shown that the original FRLP problem is transformed into deterministic linear programming problems by new methods based on the chance-constrained programming. In the presented new methods, we use an extended chance-constrained programming based on possibility and necessity measures for fuzzy stochastic constraints in FRLP problem. Finally, a numerical example is also given to show the applicability of the methods discussed in this paper.

Keywords: fuzzy robust linear programming; FRLP; chance-constrained programming; CCP; possibility; necessity; hybrid variables; fuzzy constraints; stochastic constraints. (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijisen:v:19:y:2015:i:4:p:515-546

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