FMCDM for personnel assignment in Turkish armed forces

This study evaluates the assignment system by FMCDM for Turkish Army Forces (TAF). TAF personnel are assigned to Garrisons (a headquarter or a certain geographical place in Turkey), for fixed periods. Selecting the optimal Garrison is an important problem for personnel, and is based on a number of alternatives and criteria. The system includes eight city centers, evaluated as alternatives. For defining the criteria, a questionnaire is designed and applied to army officers and sergeants. The criteria weights are determined by four randomly selected experts. Experts described the weights depending on their assessments, which may vary depending on their own necessities, experiences and priorities. They used linguistic weights, such as ‘very good, good, medium, low, very low’. Hence, the assessments are away from certainty. This uncertainty implies fuzziness in weights. Besides, the criteria were determined by factor analysis, applied on the responses of the questionnaire, which also gives a sense of uncertainty. In the analysis under imprecision judgements, the criteria weights are presented as trapezoidal fuzzy numbers to get more reasonable and realistic solutions. Ideal and anti-ideal points are calculated for different optimism indexes and the final results are obtained based on these points. It is observed that different optimality indexes changed the rankings of alternatives.