The human resources manager $($HRM$)$ OF ABC companywants to select employee. After discussing with the experts, she decided to evalute candidates by $6$ criteria which are; C$1-$ GRE score, C$2-$ graduate cumulative score, C$3-$ score of graduated university, C$4-$ candidate$$s reference score, C$5-$ average of days the candidate is sick per year $($this value is declerad by the candidate with medical report$)$ and C$6-$ interview score. For ABC company weight of each criterion is as follow:

C$1-\%30,$

C$2-\%20,$

C$3-\%20,$

C$4-\%25,$

C$5-\%15,$

C$6-\%25$

$*$Candidates attributes are given $*$

CANDIDATE $1$:

GRE $690,$ Cumulative $3\mathrm{.}1,$ Univ Score$-9,$ Referece$-7,$ Job Interwiew$-4,$ Avg. Number sick day$-5$

CANDIDATE $2$:

GRE $590,$ Cumulative $3\mathrm{.}9,$ Univ Score$-7,$ Referece$-8,$ Job Interwiew$-10,$ Avg. Number sick day$-8$

CANDIDATE $3$:

GRE $600,$ Cumulative $3\mathrm{.}6,$ Univ Score$-8,$ Referece$-9,$ Job Interwiew$-7,$ Avg. Number sick day$-1$

CANDIDATE $4$:

GRE $620,$ Cumulative $3\mathrm{.}8,$ Univ Score$-10,$ Referece$-6,$ Job Interwiew$-6,$ Avg. Number sick day$-6$

CANDIDATE $5$:

GRE $700,$ Cumulative $4,$ Univ Score$-6,$ Referece$-4,$ Job Interwiew$-9,$ Avg. Number sick day$-12$

$*$ values are given $$n $1-10$ seale. $($Is the worst : $10$: the best$)*$

$1)$ Determine the best one by using the TOPSIS method.

$2)$ Determine the best one by using the VIKOR method.

$3)$ Compare and discuss the result of question I and question $2.$