Aurel Vlaicu University of Arad, Department of Mathematics and Computer Science, Elena Drăgoi 2, Arad, Romania; Agora University of Oradea, Science, Piata Tineretului 8, Oradea, Romania
In the present paper, we propose a new approach to solving the full fuzzy linear fractional programming problem. By this approach, we provide a tool for making good decisions in certain problems in which the goals may be modelled by linear fractional functions under linear constraints; and when only vague data are available. In order to evaluate the membership function of the fractional objective, we use the α-cut interval of a special class of fuzzy numbers, namely the fuzzy numbers obtained as sums of products of triangular fuzzy numbers with positive support. We derive the α-cut interval of the ratio of such fuzzy numbers, compute the exact membership function of the ratio, and introduce a way to evaluate the error that arises when the result is approximated by a triangular fuzzy number. We analyse the effect of this approximation on solving a full fuzzy linear fractional programming problem. We illustrate our approach by solving a special example – a decision-making problem in production planning.
Stanojević, B., Dziţac, I., & Dziţac, S. (2015). On the ratio of fuzzy numbers – exact membership function computation and applications to decision making. Technological and Economic Development of Economy, 21(5), 815-832. https://doi.org/10.3846/20294913.2015.1093563
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