Borda Count

This method is named after Jean Charles de Borda, eighteenth century French physicist. The method is as follows  

The n criteria are ranked l(most important) to n (least important) 

Criteria Weights Using Borda Count (Case Study 1) 

Ranking Criterion Points Weight Criterion Ranking Points Weight 

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When there are many criteria, it would be difficult for a DM to rank order them precisely. In practice, pair-wise comparison of criteria is used to facilitate the criteria ranking required by the Borda count. Here, the DM is asked to give the relative importance between two criteria Q and Cj, whether Q is preferred to Cj, Cj is preferred to Q or both are equally important. When... 

Borda count Points are assigned based on the number of DMs that assign a particular rank for a criterion. These points are then totaled for each criterion and normalized to get criteria weights (This is similar to how the college polls are done to get the top 25 football or basketball teams). 

In this chapter, we discussed several multiple criteria methods for ranking suppliers—linear weighted point (LWP) method, metric, rating, Borda count, pair-wise comparison, and AHP. It was pointed out that for all the ranking methods (except AHP) to work effectively, the criteria values have to... 

Once the survey forms were received electronically, they were analyzed using Rating, Borda Count, and AHP methods (Activity 3 of Figure 7.13). Detailed descriptions of these three Ranking methods are available in Chapter 6, Section 6.3. 

For DM-2, both Borda Count and AHP provide the same rankings. Similar results were obtained for the other DMs also. It was found that cost, quality and delivery were the three most important supplier criteria and Borda Count and AHP methods yielded similar rankings. 

To determine the supplier rankings, the score for each supplier is obtained by multiplying their attributes (row elements of Table 7.17) by their respective weights (Table 7.16). In Table 7.18 we present the top five suppliers for each DM using their Borda Count weights as an illustration. 

Shortlist of Suppliers Using Borda Count Weights... 

Rating Borda Count (Geometric Mean) Borda Count)... 

Using Borda count, determine the criteria weights. 

Hint Borda count method is discussed in Chapter 6, Section 6.3.4)... 

Borda counting (37) has a colorful history. Developed in response to dissatisfaction with the often paradoxical outcome of plural votes used to elect members to the French Academy of Sciences, it was eventually adopted by the Academic as a superior system, until that decision was reversed by Napolean in the early 19th century. Incidentally, Kenneth Arrow received the 1972 Nobel Prize in Economics in part for his theorem, a corollary of which is that the only voting system without paradoxes is a dictatorship (38). 

The five candidates are then ranked, using their scores, from the highest to the lowest. Thus, Candidate C is ranked first, followed by candidates A, E, D, and B, respectively. Borda count method Assume that the three criteria are ranked as follows ... 

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