fuzzy_eval: Fuzzy Comprehensive Evaluation
In zhjx19/mathmodels: Comprehensive Mathematical Modeling Algorithms in R

fuzzy_eval

R Documentation

Fuzzy Comprehensive Evaluation

Description

Performs fuzzy comprehensive evaluation using different fuzzy composition operators to combine factor weights with a fuzzy evaluation matrix. Suitable for multi-criteria decision analysis with weights from methods like AHP, entropy, CRITIC, CV, or PCA.

Usage

fuzzy_eval(w, R, type)

Arguments

w

Numeric vector, factor weights (e.g., from combine_weights_linear).

R

Numeric matrix, fuzzy evaluation matrix with columns as factors and rows as evaluation grades. Values should be in 0, 1.

type

Integer or character (1-5), specifying the fuzzy composition operator:

1: Min-max (main factor decisive).
2: Product-max (main factor prominent).
3: Weighted sum (additive average).
4: Bounded sum of mins (min-sum bounded).
5: Normalized min-sum (balanced average).

Details

The function computes a fuzzy comprehensive evaluation vector B based on the weight vector w and fuzzy evaluation matrix R. Five composition operators are supported:

Type 1 (min-max): max(min(w, R[j,])), emphasizes the main factor.
Type 2 (product-max): max(w * R[j,]), highlights the main factor.
Type 3 (weighted sum): sum(w * R[j,]), additive average.
Type 4 (bounded sum): min(1, sum(min(w, R[j,]))), bounds the sum of mins.
Type 5 (normalized min-sum): sum(min(w, R[j,]/sum(R[j,]))), balanced average.

The output B is normalized to sum to 1. If the sum is zero, an error is thrown. Uses base R for lightweight implementation.

Value

A numeric vector of normalized comprehensive evaluation results, summing to 1.

Examples

w = c(0.3, 0.3, 0.3, 0.1)  # weights (e.g., from AHP or entropy)

# fuzzy evaluation matrix (3 grades for 4 factors)
R = matrix(c(0.8, 0.7, 0.6, 0.7,
             0.1, 0.2, 0.2, 0.1,
             0.1, 0.1, 0.2, 0.2), nrow = 3, byrow = TRUE)
# Apply fuzzy comprehensive evaluation
fuzzy_eval(w, R, type = 3)  # Weighted sum

zhjx19/mathmodels documentation built on June 2, 2025, 12:18 a.m.