Method Catalog - CAT-SD



CAT-SD (from CATegorization by Similarity-Dissimilarity) is a multiple criteria decision aiding method for nominal classification problems, where the categories are pre-defined and no order exists among them.

The CAT-SD method is based on the concepts of similarity and dissimilarity between two actions, considering possible interactions (or dependencies) between criteria. Each action (or alternative), assessed according to multiple criteria, is assigned to at least one category. Actions are compared against reference actions, which characterize the nominal categories. Therefore, the assignment of an action depends on such a comparison. Membership degrees allow an action to be assigned to the most adequate category or categories. Application of this method must follow a decision aiding co-constructive approach: the analyst and the decision-maker interact during the process of constructing a model.




Criteria

Name Direction
Physical Fitness Minimize
Mental Sharpness Maximize
Mental Resilience Maximize
Intelligence Maximize
Teamwork Skills Maximize
Motivation Maximize

Scales

Criterion Type Minimum Value Maximum Value Number of Levels
Physical Fitness Cardinal 370 1281
Mental Sharpness Cardinal 35 99
Mental Resilience Ordinal 4
Intelligence Ordinal 7
Teamwork Skills Ordinal 7
Motivation Ordinal 7

Functions

Physical Fitness

Function Condition

Mental Sharpness

Function Condition

Mental Resilience

Function Condition

Intelligence

Function Condition

Teamwork Skills

Function Condition

Motivation

Function Condition

Actions

Action Name Physical Fitness Mental Sharpness Mental Resilience Intelligence Teamwork Skills Motivation
a1 740 74 4 7 4 6
a2 950 82 2 4 4 4
a3 720 58 3 5 5 5
a4 920 78 2 5 5 5
a5 850 66 3 5 6 5
a6 1100 70 4 5 5 6
a7 710 73 3 6 5 6

Categories

Category Membership Degree Criteria Weights
Physical Fitness Mental Sharpness Mental Resilience Intelligence Teamwork Skills Motivation
Snipers 0.75 10 15 20 20 5 15
Breachers 0.60 25 15 20 5 10 5
Communications Operators 0.65 10 20 15 20 15 10
Heavy Weapons Operators 0.60 25 5 15 5 20 10

Reference Actions

Category Physical Fitness Mental Sharpness Mental Resilience Intelligence Teamwork Skills Motivation
Snipers (b11) 700 80 4 6 4 6
Snipers (b12) 750 75 4 7 4 7
Breachers (b21) 800 70 3 6 6 6
Communications Operators (b31) 1000 85 2 5 4 4
Communications Operators (b32) 950 80 2 5 4 5
Heavy Weapons Operators (b41) 700 60 3 5 6 5

Interaction Effects

Type Of Effect Criterion 1 Criterion 2 Category Value
Mutual-Strengthening Effect Mental Sharpness Mental Resilience Snipers 10
Mutual-Strengthening Effect Mental Sharpness Mental Resilience Breachers 10
Mutual-Strengthening Effect Mental Sharpness Mental Resilience Communications Operators 10
Mutual-Strengthening Effect Mental Sharpness Mental Resilience Heavy Weapons Operators 10
Mutual-Weakening Effect Physical Fitness Teamwork Skills Snipers -4
Mutual-Weakening Effect Physical Fitness Teamwork Skills Breachers -4
Mutual-Weakening Effect Physical Fitness Teamwork Skills Communication Operators -4
Mutual-Weakening Effect Physical Fitness Teamwork Skills Heavy Weapons Operators -4
Antagonistic Effect Physical Fitness Intelligence Snipers -3
Antagonistic Effect Physical Fitness Intelligence Breachers -3
Antagonistic Effect Physical Fitness Intelligence Communications Operators -3
Antagonistic Effect Physical Fitness Intelligence Heavy Weapons Operators -3

Results

Assigned Categories

Action Name Snipers Breachers Communications Operators Heavy Weapons Operators Not Assigned
a1
a2
a3
a4
a5
a6
a7

Similarity Values Per Reference Action

Action b11 b12 b21 b31 b32 b41
a1 0.7415730337078652 0.8351648351648352 0 0 0 0
a2 0 0 0 0.7916666666666666 0.6875 0
a3 0 0 0.375 0 0 0.7777777777777778
a4 0 0 0 0.59375 0.85 0
a5 0 0 0.8837209302325582 0 0 0.7045454545454546
a6 0 0 0 0 0 0
a7 0 0 0.6666666666666666 0 0 0.5

Maximum Similarity Values Per Category

Action Snipers Breachers Communication Operators Heavy Weapons Operators
a1 0.8351648351648352 0 0 0
a2 0 0 0.7916666666666666 0
a3 0 0.375 0 0.7777777777777778
a4 0 0 0.85 0
a5 0 0.8837209302325582 0 0.7045454545454546
a6 0 0 0 0
a7 0 0.6666666666666666 0 0.5