Indian Journal of Science and Technology
Year: 2015, Volume: 8, Issue: 34, Pages: 1-9
A. K. Bhargava1 , S. R. Singh2 and Divya Bansal3*
1 Department of Mathematics, M.M.H. College, Ghaziabad - 201001, Uttar Pradesh, India. Affiliated: C.C.S. University, Meerut - 250001, Uttar Pradesh, India; [email protected]
2 Department of Mathematics, C.C.S. University, Meerut - 250001, Uttar Pradesh, India; [email protected]
3 Banasthali University, Rajasthan, India; [email protected]
In this paper, fuzzy meta-goal programming model is proposed in a manufacturing plant where the objective is to determine the number of units to be produced and hence sold within the given restrictions. Here, three types of metagoals are considered which are assumed to have fuzzy bounds to manipulate the degree of attainment for the prioritised goals. Hypothetical production planning problem is used to illustrate the same where, LINDO 11.0 optimizer solver is used to draw results of the problem. The decision-maker is given flexibility by means of meta-goals in expressing their preferences. The production planning problem solved using the proposed model shows that the decision-maker can know establish target values not only for goals but also for relevant achievement functions which are assumed fuzzy in nature thus, providing a new dimension to programming by allowing the decision-maker to establish requirements on different achievement function, rather than limiting his/her opinions to the requirements of a single variant. This approach can be applied to more realistic problems on being more flexible than usual GP, namely, textile, coal, sugar industries, etc.
Keywords: Fuzzy Goal Programming, Fuzzy Meta-Goal Programming Method, Manufacturing Plant, Meta Goals, Production Planning
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