What are the factor set and comment set in fuzzy comprehensive evaluation?

Conditions

• There are two finite domains: the factor set $U$ and the comment set $V$.
• $U$ contains $n$ factors and $V$ contains $m$ comments.

Reasoning, step by step

1. Identify the factor set $U = \{u_1, u_2, ..., u_n\}$, where each $u_i$ is an individual evaluation factor.
2. Identify the comment set $V = \{v_1, v_2, ..., v_m\}$, where each $v_j$ is an individual comment or judgment.
3. Recognize that the fuzzy relationship matrix $R$ maps factors in $U$ to comments in $V$.

Example

The video displays the formulas $U = \{u_1, u_2, ..., u_n\}$ and $V = \{v_1, v_2, ..., v_m\}$ on the screen.

Common misconceptions

• Confusing the factor set with the weight vector.
• Assuming the comment set must contain numerical scores rather than qualitative grades.

Watch the explanation

Explore next

• How is the coefficient of variation used in the Delphi method for weight optimization?
• What is the role of the analytic hierarchy process in the evaluation model described here?