Advances in Fuzzy Mathematics

In this paper we have shown that the risk and profit objectives can not be taken as constraint together in multi-objective linear programming problem and also in goal programming problem, but they are taken as constraint together in fuzzy environment. That is why the fuzzy goal programming technique is being followed to solve the bank investment allocation problem where the under- and over-deviational variables are introduced to each of the membership goals by assigning the highest degree (unity) as the aspiration levels of each objective goal. Also we have shown that in bank investment problem liquidity constraint can never be taken as fuzzy if the highest value of aspiration levels of each constraint goal is 1 and also the aspiration level for the capital adequacy objective can not be set smaller than 90.