In the classical problems of mathematical programming the coefficients of the problems are assumed to be exactly known. This assumption is seldom satisfied by great majority of real-life problems. The compromise to accept the uncertainty into the mathematical models must be done by working with complex systems. To consider fuzzy constraints is one of possible steps to be done in modelling real systems. One of the most important situations when mixed variables are used is the case of variables having quantified values in connection with regular continuous variables. Starting from the idea of Wang and Liao (2001) for solving fuzzy non-linear integer programming problem and taking into account the multiple criteria optimization in fuzzy environment, a solving method for fuzzy multiple objective integer optimization problem is developed first. Considering multiple criteria optimization in the environment of fuzzy constraints and mixed variables another solving algorithm is introduced.
optimization, fuzzy constraints, mixed variables, multiple criteria.
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