Table 1 Comparison of the results.

From: Development of neutrosophic cubic hesitant fuzzy exponential aggregation operators with application in environmental protection problems

Method

Scores S, cosine similarities C

Ranking

Lu and Ye 44

\(S(d_{1} ) = 0.454057\), \(S(d_{2} ) = 0.624296\), \(S(d_{3} ) = 0.458387\), \(S(d_{4} ) = 0.582653\), \(S(d_{5} ) = 0.592526\)

\({F}_{2}>{F}_{5}>{F}_{4}>{F}_{3}>{F}_{1}\)

Tan et al., 45

\(S(d_{1} ) = - 0.28165\), \(S(d_{2} ) = 0.61758\), \(S(d_{3} ) = - 0.25181\), \(S(d_{4} ) = 0.379552\), \(S(d_{5} ) = 0.400404\)

\({F}_{2}>{F}_{5}>{F}_{4}>{F}_{3}>{F}_{1}\)

Ye 43

\(C(d_{1} ) = 0.495585\), \(C(d_{2} ) = 0.948553\), \(C(d_{3} ) = 0.514484\), \(C(d_{4} ) = 0.867698\), \(C(d_{5} ) = 0.87221\)

\({F}_{2}>{F}_{5}>{F}_{4}>{F}_{3}>{F}_{1}\)

Current study

\(S(d_{1} ) = 0.176782\), \(S(d_{2} ) = 0.694794\), \(S(d_{3} ) = 0.19038\), \(S(d_{4} ) = 0.523417\), \(S(d_{5} ) = 0.537091\)

\({F}_{2}>{F}_{5}>{F}_{4}>{F}_{3}>{F}_{1}\)