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Don-Lin Mon:\hrfr(irr: 'The performance evaluation of wcapiw ryctciiis :IT,: multiple criteria decision inaking problenis. The descriptions and judgements on weapon systems arc usuallv linguistic and fuzzy. The traditional method of Analytic Ilierarchy Process (AIIP) are mainly used in crisp (non-furzy) decision iipplications with a very uiih;ilanced scale n l judFements. Tu ,ivcrcoane these prohlems. wc will propow a ne\v and gcncrd dccisian making method for evaluating weapon systems using fuzzy AHP h a x d on entropy weight. We will use symmetric triiingular fuzzy numher i to d to indicate the rel:ilive ctrcngth [jf thc demcnts iii the hierarchy. and huild fun). judgcmcnt vectors (matrix) through comparison of the performance scores. We will derive the priority among the ;alternatives by the entropy weight through the use of interval arithmetic. a-cuts. and index of optimism (the degree o f optimism of the decision maker) to estimate the degree of satisfaction of the judgement. In this way it does not req:iire J series of painvise comparison judgements as requireci h)[he traditional AHP metbod. Ry multiplying the fuzzy suhjective weight vector W with the corresponding fuzzy judgement matrix , ? (the orderly list of fuzzy judgement vectors i , for every criterion C,). a fuzzy problem can he solved and a weapon system selection example will be used to illustrate our method and compare it with other methods. Keywwdr: Military application; tactical missile system (T.M.S).; fu7z.y numher; a-cuts; analytic hierarchy process (AHP); interval arithmetic; entropy weight.

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