Research Article
Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews
Table 1
The ranking performance assessments for some representative indices as opposed to the unified index.
| | Section | Example | Evaluated fuzzy numbers | Compared references | Shortcomings (cf. the index) |
| | Section 4.1 | Example 15 | | Yu & Dat [48] | More laborious in computation | |
| | Section 4.1 | Example 16 | | Chu & Tsao [63] | Counterintuition | | Cheng [57] | Counterintuition | | Yu & Dat [48] | Less reliability |
| | Section 4.1 | Example 17 | | Liou & Wang [67], Yu & Dat [48] | Inconsistency
Counterintuition at | | | |
| | Section 4.2 | Example 18 | | Zhang et al. [73] | Computation complexity | | Inconsistency |
| | Section 4.2 | Example 19 | | Ky Phuc et al. [38], Asady [46] | Computation complexity
Indecisive ranking for () | | |
| | Section 4.2 | Example 20 | | Abbasbandy & Hajjari [74], Nasseri & Sohrabi [75] | Counterintuition | | |
| | Section 4.3 | Example 22 | | Ky Phuc et al. [38], Asady [46], Zhang et al. [73] | More elaborate in computation | |
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