A decision-making method based on interval-valued fuzzy sets for cloud service evaluation

In the real world, many decision-making problems contain uncertain data in the decision process. Although fuzzy set theory can deal with the uncertain problem, the decision maker always cannot express his opinion exactly in the decision-making process. Because the subjective judgments of decision makers are always vagueness, linguistic variables and interval-valued fuzzy sets are suitable used to represent the fuzziness of membership value of their opinions. In this paper, the fuzzy AHP method is applied to compute the fuzzy weights of each criterion based on the interval-valued fuzzy sets. The 2-tuple linguistic variables are used to express the performance rating of all alternatives. and then, determine the ranking order of all alternatives in accordance with preference matrix. This proposed method can provide decision maker more flexibility to express his subjective judgment with respect to each alternative. Finally, an example is presented to show the procedure of the proposed method at the end of the paper.