Advances in Civil Engineering

Research Article

Ranking Sustainable Projects through an Innovative Hybrid DEMATEL-VIKOR Decision-Making Approach Using Z-Number

Table 7

The linguistic variables used and their corresponding Z-numbers.
Linguistic variableNotationDeterministic equivalentFuzzy numberZ-number
Very small-unlikely(VS-U)[0.00, 0.00, 0.25][0.00, 0.00, 0.11]
Small-unlikely(S-U)[0.00, 0.25, 0.50][0.00, 0.11, 0.22]
Medium-unlikely(M-U)[0.25, 0.50, 0.75][0.11, 0.22, 0.34]
Big-unlikely(B-U)[0.50, 0.75, 1.00][0.22, 0.34, 0.45]
Very big-unlikely(VB-U)[0.75, 1.00, 1.00][0.34, 0.45, 0.45]
Very small-fairly impossible(VS-FI)[0.00, 0.00, 0.25][0.00, 0.00, 0.16]
Small-fairly impossible(S-FI)[0.00, 0.25, 0.50][0.00, 0.16, 0.32]
Medium-fairly impossible(M-FI)[0.25, 0.50, 0.75][0.16, 0.32, 0.47]
Big-fairly impossible(B-FI)[0.50, 0.75, 1.00][0.32, 0.47, 0.63]
Very big-fairly impossible(VB-FI)[0.75, 1.00, 1.00][0.47, 0.63, 0.63]
Very small-weak(VS-W)[0.00, 0.00, 0.25][0.00, 0.00, 0.18]
Small-weak(S-W)[0.00, 0.25, 0.50][0.00, 0.18, 0.35]
Medium-weak(M-W)[0.25, 0.50, 0.75][0.18, 0.35, 0.53]
Big-weak(B-W)[0.50, 0.75, 1.00][0.35, 0.53, 0.71]
Very big-weak(VB-W)[0.75, 1.00, 1.00][0.53, 0.71, 0.71]
Very small-maybe(VS-M)[0.00, 0.00, 0.25][0.00, 0.00, 0.19]
Small-maybe(S-M)[0.00, 0.25, 0.50][0.00, 0.19, 0.39]
Medium-maybe(M-M)[0.25, 0.50, 0.75][0.19, 0.39, 0.58]
Big-maybe(B-M)[0.50, 0.75, 1.00][0.39, 0.58, 0.77]
Very big-maybe(VB-M)[0.75, 1.00, 1.00][0.58, 0.77, 0.77]
Very small-likely(VS-L)[0.00, 0.00, 0.25][0.00, 0.00, 0.22]
Small-likely(S-L)[0.00, 0.25, 0.50][0.00, 0.22, 0.45]
Medium-likely(M-L)[0.25, 0.50, 0.75][0.22, 0.45, 0.67]
Big-likely(B-L)[0.50, 0.75, 1.00][0.45, 0.67, 0.89]
Very big-likely(VB-L)[0.75, 1.00, 1.00][0.67, 0.89, 0.89]
Very small-most likely(VS-ML)[0.00, 0.00, 0.25][0.00, 0.00, 0.24]
Small-most likely(S-ML)[0.00, 0.25, 0.50][0.00, 0.24, 0.47]
Medium-most likely(M-ML)[0.25, 0.50, 0.75][0.24, 0.47, 0.71]
Big-most likely(B-ML)[0.50, 0.75, 1.00][0.47, 0.71, 0.95]
Very big-most likely(VB-ML)[0.75, 1.00, 1.00][0.71, 0.95, 0.95]
Very small-certainly(VS-C)[0.00, 0.00, 0.25][0.00, 0.00, 0.25]
Small-certainly(S-C)[0.00, 0.25, 0.50][0.00, 0.25, 0.50]
Medium-certainly(M-C)[0.25, 0.50, 0.75][0.25, 0.50, 0.75]
Big-certainly(B-C)[0.50, 0.75, 1.00][0.50, 0.75, 1.00]
Very big-certainly(VB-C)[0.75, 1.00, 1.00][0.75, 1.00, 1.00]