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Multi-objective fuzzy quadratic probabilistic programming problem involving fuzzy Cauchy random variable

Author

Listed:
  • Narmada Ranarahu
  • Jayanta Kumar Dash
  • Srikumar Acharya

Abstract

In this paper, we have proposed a method for solving a multi-objective quadratic probabilistic programming problem, where the objective functions are multi-objective and quadratic in nature. The right hand side parameters are fuzzy Cauchy distributed independent random variable with location parameter δ and scale parameter β. The proposed mathematical programming problem is solved using two steps. First, the fuzziness is removed by using alpha cut technique and randomness is removed by chance constrained method. In second step, weighting method is used to solve the transformed multi-objective quadratic mathematical programming. This mathematical model is solved by existing methodology or software. A numerical example is presented to illustrate the efficiency and feasibility of the proposed method.

Suggested Citation

  • Narmada Ranarahu & Jayanta Kumar Dash & Srikumar Acharya, 2018. "Multi-objective fuzzy quadratic probabilistic programming problem involving fuzzy Cauchy random variable," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 32(4), pages 495-513.
    • Handle: RePEc:ids:ijores:v:32:y:2018:i:4:p:495-513
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