Issue: 2003/Vol.13/No.4, Pages 23-31
THE TRANSPORTATION PROBLEM UNDER PROBABILISTIC AND FUZZY UNCERTAINTIES
Ludmiła Dymowa
, Marek Dolata
Cite as: L. Dymowa, M. Dolata. The transportation problem under probabilistic and fuzzy uncertainties. Operations Research and Decisions 2003: 13(4), 23-31.
Abstract
The paper presents further development of an approach proposed by Stefan Chanas and Dorota Kuchta [1], [2] for the transportation problem solution in the case of fuzzy coefficients. The direct fuzzy extension of usual simplex method is used to realize a numerical fuzzy optimization algorithm with fuzzy constraints. It must be emphasized that the fuzzy numerical method proposed is based on the practical embodiment of the pioneer idea of Stefan Chanas [3], [4] to consider fuzzy values in the probabilistic sense. The problem is formulated in a more general form of the distributor’s benefit maximization.
Keywords: transportation problem, fuzzy coefficients, simplex method, fuzzy numerical method
Received: Accepted: