Table 11 Convex formula of WASPAS method.

From: WASPAS-based multi-expert decision algorithm for physical education using circular pythagorean fuzzy aggregation with prioritized weights

Alternatives

\(\:\varvec{\gamma\:}{\varvec{Q}}_{\mathcal{i}}^{\varvec{S}}\)

\(\:\left(1-\varvec{\gamma\:}\right){\varvec{Q}}_{\mathcal{i}}^{\varvec{P}}\)

\(\:{\varvec{Q}}_{\mathcal{i}}=\varvec{\gamma\:}{\varvec{Q}}_{\mathcal{i}}^{\varvec{S}}+\left(1-\varvec{\gamma\:}\right){\varvec{Q}}_{\mathcal{i}}^{\varvec{P}}\)

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

\(\:\left(\text{0.63,0.61,0.45}\right)\)

\(\:\left(\text{0.61,0.69,0.44}\right)\)

\(\:\left(\text{0.79,0.42,0.60}\right)\)

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

\(\:\left(\text{0.67,0.51,0.42}\right)\)

\(\:\left(\text{0.61,0.70,0.42}\right)\)

\(\:\left(\text{0.81,0.36,0.57}\right)\)

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

\(\:\left(\text{0.67,0.51,0.43}\right)\)

\(\:\left(\text{0.57,0.72,0.42}\right)\)

\(\:\left(\text{0.79,0.37,0.58}\right)\)

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

\(\:\left(\text{0.67,0.52,0.44}\right)\)

\(\:\left(\text{0.61,0.69,0.43}\right)\)

\(\:\left(\text{0.81,0.36,0.58}\right)\)

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

\(\:\left(\text{0.61,0.61,0.43}\right)\)

\(\:\left(\text{0.49,76,0.42}\right)\)

\(\:\left(\text{0.72,0.47,0.57}\right)\)