|
| Set | Advantages | Limitations |
|
| FS [12, 13] | It can handle imprecise information | It cannot handle nonmembership values |
| IFS [5, 6, 25] | It contains the membership and nonmembership values | It will not work for the case |
| PyFS [7–9, 23] | It can be used when the sum of membership and nonmembership grades exceeds 1 | It will not work for the case |
| q-ROFS [10, 11] | It is more efficient than PyFs. We can handle the sum of -power of membership and nonmembership values less than 1 | It cannot be used for or if “” is small with |
| PFS [14] | It is efficient than IFS. This theory is used when we express the sum of membership, neutral, and nonmembership less than 1 | It will not work for the case |
| SFS [15] | It is better than PFS and PyFS. It works for the case | It will not work for the case |
| q-RPFS [17] | It is better than PFS. It could handle when the sum of -power of membership, neutral, and nonmembership is less than 1 | It cannot be used for or if the value of “” is smaller with |
| SLDF (proposed) | (1) It can handle all circumstances where FS, IFS, PyFS, q-ROFS, PFS, SFS, and q-RPFS cannot be used | Calculation is complicated |
| (2) It takes a parameterization approach and operates under the effect of reference parameters |
| (3) Membership, abstinence, and nonmembership grades may be freely selected from [0, 1] |
|
