LINEAR PROGRAMMING TECHNIQUE TO SOLVE TWO PERSON MATRIX GAMES WITH INTERVAL PAY-OFFS

A fuzzy two person interval game problem is proposed and treated in this paper which is not easily tackled by the conventional methods. First, with respect to this pay-off values, a necessary and sufficient condition for the existence of a saddle point is proved. Based on interval value model, we are to find the value of interval game without saddle point. Finally, example is given to illustrate the procedure and to indicate the performance of the proposed method.Fuzzy number, interval numbers, interval game, saddle point

NOTES ON "LINEAR PROGRAMMING TECHNIQUE TO SOLVE TWO-PERSON MATRIX GAMES WITH INTERVAL PAY-OFFS"

The aim of this note is to point out and correct some vital mistakes in the paper by P K Nayak and M Pal, "Linear programming technique to solve two person matrix (games with interval pay-offs). Asia-Pacific Journal of Operational Research, 26(2), 285–305". Lots of serious mistakes on the definitions, conclusions, models, methods, proofs and computing results have been corrected and modified in this note. We also indicate inappropriate formulations regarding their proposed linear programming models for solving generic matrix games with interval pay-offs and suggest a pair of linear programming models with any minimal acceptance degree of the interval inequality constraints which may be allowed to violate. The lexicographic method is suggested so that a rational and credible solution of the generic matrix game with interval pay-offs can be achieved.Mathematical programming, interval matrix game, saddle point, interval computation, fuzzy number

Modelo de avaliação de propostas de concurso público na Força Aérea Portuguesa : uma aplicação da análise multicritério

Mestrado em Contabilidade, Fiscalidade e Finanças EmpresariaisDecidir melhor tem sido uma preocupação manifesta em diversos ramos de atividade, incluindo o setor público. Particularmente na Força Aérea, decidir melhor é evidentemente necessário devido aos recursos que se consomem e que não são, naturalmente, apenas financeiros. O presente trabalho de projeto enquadra-se na temática da análise multicritério e tem por finalidade aplicar o método MACBETH a um concurso público da Força Aérea Portuguesa. É particularmente elaborado um modelo, para avaliação de propostas, a fim do cumprimento de um concurso de construção de infraestruturas. O modelo é formulado através de reuniões, em conferência, entre os avaliadores dos concorrentes a concurso. Os resultados obtidos pelo modelo proposto são comparados com os resultados do modelo atual, não apenas pela análise comparativa das pontuações dos concorrentes com melhor desempenho, mas também pela análise de sensibilidade efetuadas através da plataforma wised com fundamentos teóricos no método MACBETH. Assim, pretendeu-se dotar a FA de uma ferramenta que otimize a avaliação de propostas de concorrentes aos concursos públicos.Making the best decision has been a major concern in many fields of activity including the public sector. Particularly in the Air Force (AF), making the best decision is very evident due to the resources, not only financial, but all that are used. The present project centres on multi-criteria analysis and aims to employ MACBETH's method to a public tender of the Portuguese Air Force. In particular, it draws up a model for the evaluation of proposals for an infrastructure construction tender. The model is formulated through conference meetings between the appraisers of the candidates for the tender. The results obtained through the proposed model are then compared to those from the current model, not only through the comparative analysis of the scores of the candidates who performed better but also through the sensitivity analysis carried out by the wised platform with theoretical foundations from the MACBETH method. Thus, it was intended to provide the AF with a tool that optimizes the evaluation of proposals of candidates to public tenders