Abstract

Abstract A new hybrid algorithm is proposed for multi-criteria models in decision theory under uncertainty, a Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) to the rank based on the decision making. Stochastic programming and fuzzy programming used the applications by the decision theory. TOPSIS was applied to obtain the best ideal solution ranks from alternative and criteria based on decision making. It is allocated to optimize the bestquality or product service, reducing the cost, weightedfuzzy multiple objective linear programming is used. Optimization models used to solve various problems by making use of decision theory. Analytic hierarchy process (AHP) was applied to the issue of weights in the criteria. For problems dealing with uncertainty and ambiguity Fuzzy approach is the most preferred method in providing solutions. TOPSIS approach makes use of decision theory to identify the optimal solution to the respective problem.

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