Table 32 Comparison of the PFNBSS model with relevant existing approaches.
Group | Approach | Membership Type | Membership Superiority | Parameterization Support | Evaluation Type | Evaluation Scale | Bipolar Capability |
|---|---|---|---|---|---|---|---|
1. Classical Models | FS1 | F | Low | Not Supported | Continuous | Single-Valued | Absent |
IFS2 | IF | Medium | Not Supported | Continuous | Single-Valued | Absent | |
PFS3 | PF | High | Not Supported | Continuous | Single-Valued | Absent | |
2. Soft Sets | SS7 | None | – | Supported | Discrete | Binary | Absent |
FSS10 | F | Low | Supported | Continuous | Binary | Absent | |
IFSS11 | IF | Medium | Supported | Continuous | Binary | Absent | |
PFSS12 | PF | High | Supported | Continuous | Binary | Absent | |
3. Bipolar Soft Sets | BSS20 | None | – | Supported | Discrete | Binary | Present |
FBSS21 | F | Low | Supported | Continuous | Binary | Present | |
IFBSS22 | IF | Medium | Supported | Continuous | Binary | Present | |
PFBSS22 | PF | High | Supported | Continuous | Binary | Present | |
4. N-Soft Sets | NSS25 | None | – | Supported | Discrete | multi-valued | Absent |
FNSS26 | F | Low | Supported | Continuous | multi-valued | Absent | |
IFNSS27 | IF | Medium | Supported | Continuous | multi-valued | Absent | |
PFNSS30 | PF | High | Supported | Continuous | multi-valued | Absent | |
5. N-Bipolar Soft Sets | NBSS33 | None | – | Supported | Discrete | multi-valued | Present |
FNBSS35 | F | Low | Supported | Continuous | multi-valued | Present | |
IFNBSS36 | IF | Medium | Supported | Continuous | multi-valued | Present | |
PFNBSS (Proposed) | PF | High | Supported | Continuous | multi-valued | Present |
