Abstract
The theory of Multi-Criteria Decision Making (MCDM) was introduced in the second half of the twentieth century and aids the decision maker to resolve problems when interacting criteria are involved and need to be evaluated. In this paper, we apply MCDM on the problem of the best drug for rheumatoid arthritis disease. Then, we solve the MCDM problem via -Sugeno measure and the Choquet integral to provide realistic values in the process of selecting the most appropriate drug. The approach confirms the proper interpretation of multi-criteria decision making in the drug ranking for rheumatoid arthritis.
Highlights
Multi-criteria decision making (MCDA) is a branch of decision theory where acts or alternatives are chosen considering several points of view or criteria, assuming that the decision maker has all the information at his/her disposal concerning the alternatives, i.e. they are fully described by a vector of attributes which is supposed to be known without uncertainty
The interpretation of Choquet integral for the drug ranking confirms that the preference relation of the Decision Maker is
The drug 5 is the optimal drug according to the ranking of drugs used to treat rheumatoid arthritis
Summary
Multi-criteria decision making (MCDA) is a branch of decision theory where acts or alternatives are chosen considering several points of view or criteria, assuming that the decision maker has all the information at his/her disposal concerning the alternatives, i.e. they are fully described by a vector of attributes which is supposed to be known without uncertainty. We apply multi-criteria decision making on the optimal drug for rheumatoid arthritis by taking the drug values as measures and a special aggregation function to obtain realistic values. Problem on the optimal drug for rheumatoid arthritis. A capacity is a set function that satisfies: 1.
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