Computation of a multi-objective fuzzy stochastic transportation problem Online publication date: Sat, 07-Feb-2015
by Srikumar Acharya; Narmada Ranarahu; Jayanta Kumar Dash; Mitali Madhumita Acharya
International Journal of Fuzzy Computation and Modelling (IJFCM), Vol. 1, No. 2, 2014
Abstract: This paper is concerned with the solution methodology of a multi-objective transportation problem where fuzziness and randomness occur under one roof. In the present transportation problem, supplies and demands are considered as fuzzy random variable. In the first step of the solution procedure, fuzziness is removed by using alpha-cut technique to obtain multi-objective stochastic transportation problem. By using the chance constrained technique, the multi-objective stochastic transportation problem is transformed to equivalent crisp multi-objective transportation problem. Then, introducing the concept of membership function, multi-objective deterministic transportation problem is converted into single objective mathematical programming problem. Finally, it is solved with the help of existing technique. A numerical example and a case study are provided in order to illustrate the methodology.
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