Table 9 Weighted-aggregated circular pythagorean fuzzy decision matrix.

From: A modified TOPSIS algorithm for the assessment of sports quality in higher education using circular pythagorean fuzzy information

 

\(\:{\mathbf{A}}_{1}\)

\(\:{\mathbf{A}}_{2}\)

\(\:{\mathbf{A}}_{3}\)

\(\:{\mathbf{A}}_{4}\)

\(\:{\mathbf{A}}_{5}\)

\(\:\mathfrak{M}\)

\(\:\mathfrak{N}\)

\(\:\mathbf{r}\)

\(\:\mathfrak{M}\)

\(\:\mathfrak{N}\)

\(\:\mathbf{r}\)

\(\:\mathfrak{M}\)

\(\:\mathfrak{N}\)

\(\:\mathbf{r}\)

\(\:\mathfrak{M}\)

\(\:\mathfrak{N}\)

\(\:\mathbf{r}\)

\(\:\mathfrak{M}\)

\(\:\mathfrak{N}\)

\(\:\mathbf{r}\)

\(\:{\mathbf{C}}_{1}\)

\(\:0.741\)

\(\:0.671\)

\(\:0.788\)

\(\:0.789\)

\(\:0.629\)

\(\:0.828\)

\(\:0.812\)

\(\:0.595\)

\(\:0.842\)

\(\:0.690\)

\(\:0.721\)

\(\:0.767\)

\(\:0.574\)

\(\:0.805\)

\(\:0.750\)

\(\:{\mathbf{C}}_{2}\)

\(\:0.644\)

\(\:0.748\)

\(\:0.762\)

\(\:0.752\)

\(\:0.672\)

\(\:0.819\)

\(\:0.752\)

\(\:0.672\)

\(\:0.819\)

\(\:0.644\)

\(\:0.748\)

\(\:0.762\)

\(\:0.701\)

\(\:0.721\)

\(\:0.797\)

\(\:{\mathbf{C}}_{3}\)

\(\:0.780\)

\(\:0.659\)

\(\:0.855\)

\(\:0.682\)

\(\:0.742\)

\(\:0.792\)

\(\:0.500\)

\(\:0.876\)

\(\:0.812\)

\(\:0.567\)

\(\:0.819\)

\(\:0.774\)

\(\:0.500\)

\(\:0.876\)

\(\:0.812\)

\(\:{\mathbf{C}}_{4}\)

\(\:0.494\)

\(\:0.882\)

\(\:0.812\)

\(\:0.560\)

\(\:0.827\)

\(\:0.774\)

\(\:0.673\)

\(\:0.754\)

\(\:0.792\)

\(\:0.494\)

\(\:0.882\)

\(\:0.812\)

\(\:0.792\)

\(\:0.648\)

\(\:0.869\)

\(\:{\mathbf{C}}_{5}\)

\(\:0.872\)

\(\:0.525\)

\(\:0.895\)

\(\:0.682\)

\(\:0.711\)

\(\:0.780\)

\(\:0.682\)

\(\:0.711\)

\(\:0.780\)

\(\:0.872\)

\(\:0.525\)

\(\:0.895\)

\(\:0.848\)

\(\:0.568\)

\(\:0.881\)

\(\:{\mathbf{C}}_{6}\)

\(\:0.606\)

\(\:0.787\)

\(\:0.796\)

\(\:0.782\)

\(\:0.637\)

\(\:0.837\)

\(\:0.782\)

\(\:0.637\)

\(\:0.837\)

\(\:0.782\)

\(\:0.637\)

\(\:0.837\)

\(\:0.728\)

\(\:0.693\)

\(\:0.815\)

\(\:{\mathbf{C}}_{7}\)

\(\:0.814\)

\(\:0.588\)

\(\:0.847\)

\(\:0.556\)

\(\:0.840\)

\(\:0.845\)

\(\:0.631\)

\(\:0.763\)

\(\:0.806\)

\(\:0.556\)

\(\:0.840\)

\(\:0.845\)

\(\:0.556\)

\(\:0.840\)

\(\:0.845\)