Table 6 Feature analysis of different models with a proposed model.

FS¹

✓

 × 

✓

 × 

 × 

Deals uncertainty by \(MD\)

IFS⁴

✓

 × 

✓

 × 

 × 

Deals uncertainty by \(MD + NMD > 1\)

PFS¹⁵

✓

 × 

✓

 × 

 × 

Deals uncertainty by \(MD\) and \(NMD\)

q-ROFS²⁷

✓

✓

✓

 × 

 × 

Deals uncertainty by \(\left( {MD} \right)^{2} + \left( {NMD} \right)^{2} > 1\)

FSS³⁴

✓

✓

 × 

✓

 × 

Deals uncertainty by using parametric values of \(MD\)

IFSS³⁶

✓

✓

 × 

 × 

 × 

Deals uncertainty by parametric values of \(MD\) and \(NMD\);\(MD + { }NMD > 1\)

PFSS⁴⁰

✓

✓

 × 

 × 

 × 

Deals uncertainty by if \(\left( {MD} \right)^{2} + \left( {NMD} \right)^{2} > 1\)

q-ROFSS⁴⁶

✓

✓

✓

✓

 × 

Deals uncertainty by, if \(\left( {MD} \right)^{q} + \left( {NMD} \right)^{q} > 1\)

IFHSS⁴⁹

✓

✓

✓

✓

✓

Deals uncertainty of multi sub-parameters such as \(MD + NMD > 1\)

PFHSS⁵²

✓

✓

✓

✓

✓

Deals uncertainty of multi sub-parameters \(\left( {MD} \right)^{2} + \left( {{\text{NMD}}} \right)^{2} > 1\)

q-ROFHSS

✓

✓

✓

✓

✓

Deals uncertainty of multi sub-parameters \(\left( {{\text{MD}}} \right)^{{\text{q}}} + \left( {{\text{NMD}}} \right)^{{\text{q}}} > 1\)