Ecodesign model and sample space

As it was shown in Figure 2c, the interaction between the three Q-H-E aspects yields the apparition of a certain number of events, which are illustrated in Figure 3. Each event is assumed to accomplish one or several functions that are defined by the following subsets (Attaf, 2007)

• Subset A (■): characterized by an assured quality, a non-protected health and a non-

preserved environment.

• Subset B (■): characterized by an assured quality, a protected health and a non-

preserved environment.

• Subset C (■): characterized by a non-assured quality, a protected health and a non-

preserved environment.

• Subset D (■): characterized by a non-assured quality, a protected health and a preserved

environment.

• Subset S (■): characterized by an assured quality, a non-protected health and a

preserved environment.

Подпись: • Subset F (□):characterized by an assured quality, a protected health and a preserved environment.

Подпись: • Subset G (■):Подпись:
characterized by an assured quality, a non-protected health and a preserved environment.

The possible outcome sets and subsets can be expressed by the universal sample space as (Attaf, 2007)

Подпись: Q = { Q, H, E, A, B, C, D, S, G, F, 0 } (1) in which, A=Q n H n E B=Q n H n E C= Q n H n E D= Q n H n E S= Q n H n E G=Q n H n E F =Q n H n E 0= Q n H n E where, n denotes intersection symbol, and Q, H, E are the complement of Q, H, E and indicate that ”Quality non-realizable", "Health non-realizable" and "Environment non­realizable", respectively.

The subsequent analysis will concentrate only on the subset F, a unique searched subset that characterises the event: "intersection between Q, H and E does exist all the time".