Abstract
Multi Attribute Decision Making (MADM) is an asset to provide solutions for our todays' complex issues and problems. The fact of the matter is that the main source of information in many MADMs is a panel of experts. However, in some cases, there is a possibility of lack of knowledge by the panel to rank or weight one or a few particular criterion/criteria for the decision making. Therefore, the decision maker needs an altered source of information to complete the decision making process. Hence, WSM (Weighted Sum Method) by means of the most popular MADM techniques is selected; and as a prior aim of this article, a modified version of the WSM is proposed as a solution for multiple criteria decision makers by way of a solution for the cases when there is a need for another source of information to rank or weight the particular criterion/criteria. The modified WSM is presented in five stages. The validity, through feasibility, of the modified WSM is tested and verified in a numerical example. Additionally, following this article, future researches could use the same approach for modification of other MADMs to deal with two or more sources of information.
Highlights
According to Aruldoss, Lakshmi, and Venkatesan [1], many daily decisions are being made from different criteria, one can make a decision by giving weights to these various decision criteria
According to Ansah et al [2] and Almulhim [3], Multi-Criteria Decision Making (MCDM) is considered as one of the most popular decision making branches of over the last thirty years, it has been used to solve decision problems given the existence of multiple alternatives and criteria
The proposed modifies Weighted Sum Method (WSM) can solve the issue of decision making with a different source of information; it needs a valid additional source(s) of information for weighting the additional criteria
Summary
According to Aruldoss, Lakshmi, and Venkatesan [1], many daily decisions are being made from different criteria, one can make a decision by giving weights to these various decision criteria. The alternatives in WSM have an assigned score against every selection criterion and weight applied for each criterion is considered prior to the weighted sum This is the reason why the MADM method is criticised to constitute of the sum of varying forms of information, to have an absence of any process for finding attribute weights, and to have an inherent issue with the creation of mislaying dependency information between the attributes [19]. It is established that one of the major constraints of the WSM and other MADMs is their inability to process information from different sources These are not applicable in decision-making situations that involve multiple criteria where decision-making groups or experts are not aware of or familiar with certain specific criteria (or at least one criterion) because of incomplete or limited awareness, knowledge, expertise, or other reasons. The alternative featuring the highest FR is superior alternative in terms of selection
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