Weight computation of criteria in a decision-making problem by knowledge measure with intuitionistic fuzzy set and interval-valued intuitionistic fuzzy set

The aim of this study is to propose an objective method based on a new measure of intuitionistic fuzzy information, called knowledge measure for determining weights of attributes (also called criteria) in a real-world multicriteria decision making problem under intuitionistic fuzzy environment. To address this issue, we first analyze the existing entropy measures and show that their use in objective weight determination process may lead us to produce unreliable weights of attributes by citing appropriate examples. Then, a new method to determine weight of criteria is developed on the basis of knowledge measure where information about criteria weight is completely unknown and partly known. Finally, a practical example is presented to illustrate the proposed weight determination method.

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