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Table 15 Concordance and discordance interval matrixes for the quantum spherical fuzzy sets

From: Investigating the components of fintech ecosystem for distributed energy investments with an integrated quantum spherical decision support system

 

SPS

RHS

EUS

TOR

FNA

 

Concordance matrix

    

SPS

 

\(\left[\begin{array}{c}\sqrt{0.49}{e}^{j2\pi .0.49},\\ \sqrt{0.49}{e}^{j2\pi .0.49},\\ \sqrt{0.51}{e}^{j2\pi .0.51}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.26}{e}^{j2\pi .0.26},\\ \sqrt{0.26}{e}^{j2\pi .0.26},\\ \sqrt{0.74}{e}^{j2\pi .0.74}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.25}{e}^{j2\pi .0.75},\\ \sqrt{0.75}{e}^{j2\pi .0.75},\\ \sqrt{0.25}{e}^{j2\pi .0.25}\end{array}\right]\)

RHS

\(\left[\begin{array}{c}\sqrt{0.51}{e}^{j2\pi .0.51},\\ \sqrt{0.51}{e}^{j2\pi .0.51},\\ \sqrt{0.49}{e}^{j2\pi .0.49}\end{array}\right]\)

 

\(\left[\begin{array}{c}\sqrt{0.51}{e}^{j2\pi .0.51},\\ \sqrt{0.51}{e}^{j2\pi .0.51},\\ \sqrt{0.49}{e}^{j2\pi .0.49}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.76}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.75}{e}^{j2\pi .0.75},\\ \sqrt{0.75}{e}^{j2\pi .0.75},\\ \sqrt{0.49}{e}^{j2\pi .0.49}\end{array}\right]\)

EUS

\(\left[\begin{array}{c}\sqrt{0.76}{e}^{j2\pi .0.76},\\ \sqrt{0.74}{e}^{j2\pi .0.74},\\ \sqrt{0.26}{e}^{j2\pi .0.26}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.49}{e}^{j2\pi .0.49},\\ \sqrt{0.49}{e}^{j2\pi .0.49},\\ \sqrt{0.51}{e}^{j2\pi .0.51}\end{array}\right]\)

 

\(\left[\begin{array}{c}\sqrt{0.74}{e}^{j2\pi .0.74},\\ \sqrt{0.74}{e}^{j2\pi .0.74},\\ \sqrt{0.26}{e}^{j2\pi .0.26}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00}\end{array}\right]\)

TOR

\(\left[\begin{array}{c}\sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.24}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.26}{e}^{j2\pi .0.26},\\ \sqrt{0.26}{e}^{j2\pi .0.26},\\ \sqrt{0.74}{e}^{j2\pi .0.74}\end{array}\right]\)

 

\(\left[\begin{array}{c}\sqrt{0.75}{e}^{j2\pi .0.51},\\ \sqrt{0.51}{e}^{j2\pi .0.51},\\ \sqrt{0.49}{e}^{j2\pi .0.49}\end{array}\right]\)

FNA

\(\left[\begin{array}{c}\sqrt{0.25}{e}^{j2\pi .0.25},\\ \sqrt{0.25}{e}^{j2\pi .0.25},\\ \sqrt{0.75}{e}^{j2\pi .0.75}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.49}{e}^{j2\pi .0.49},\\ \sqrt{0.49}{e}^{j2\pi .0.49},\\ \sqrt{0.75}{e}^{j2\pi .0.75}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.25}{e}^{j2\pi .0.49},\\ \sqrt{0.49}{e}^{j2\pi .0.49},\\ \sqrt{0.51}{e}^{j2\pi .0.51}\end{array}\right]\)

 
 

Discordance matrix

    

SPS

 

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.42}{e}^{j2\pi .0.42}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.91}{e}^{j2\pi .0.75},\\ \sqrt{0.59}{e}^{j2\pi .0.56},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

RHS

\(\left[\begin{array}{c}\sqrt{0.47}{e}^{j2\pi .0.53},\\ \sqrt{0.48}{e}^{j2\pi .0.53},\\ \sqrt{1.00}{e}^{j2\pi .0.48}\end{array}\right]\)

 

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.06}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.79}{e}^{j2\pi .0.76},\\ \sqrt{0.67}{e}^{j2\pi .0.68},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

EUS

\(\left[\begin{array}{c}\sqrt{0.85}{e}^{j2\pi .0.92},\\ \sqrt{0.92}{e}^{j2\pi .0.98},\\ \sqrt{0.83}{e}^{j2\pi .0.64}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.80}{e}^{j2\pi .0.80},\\ \sqrt{0.85}{e}^{j2\pi .0.83},\\ \sqrt{0.90}{e}^{j2\pi .0.68}\end{array}\right]\)

 

\(\left[\begin{array}{c}\sqrt{0.25}{e}^{j2\pi .0.23},\\ \sqrt{0.20}{e}^{j2\pi .0.20},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

TOR

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.25}{e}^{j2\pi .0.25}\end{array}\right]\)

 

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.48}{e}^{j2\pi .0.62}\end{array}\right]\)

FNA

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.44}{e}^{j2\pi .0.20}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.57}{e}^{j2\pi .0.41}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{1.00}{e}^{j2\pi .1.00},\\ \sqrt{0.00}{e}^{j2\pi .0.00}\end{array}\right]\)

\(\left[\begin{array}{c}\sqrt{0.33}{e}^{j2\pi .0.34},\\ \sqrt{0.37}{e}^{j2\pi .0.37},\\ \sqrt{1.00}{e}^{j2\pi .1.00}\end{array}\right]\)

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