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Table 12 comparison between obtained solutions by GA based hybrid approach using exponential membership function with different approaches at \(\alpha = 0.1\)

From: Genetic algorithm based hybrid approach to solve fuzzy multi-objective assignment problem using exponential membership function

Shape parameter

Aspiration level

Hannan (1981)

Lai and Hwang (1992)

Yager (1981)

Gupta and Mehlawat (2014)

Proposed hybrid approach

Max \(\lambda\)

Max \(\lambda\)

Max \(\lambda\)

Max \(\lambda\)

Max \(\lambda\)

(−5, −1, −2)

0.8, 0.85, 0.7

0.67342

0.53334

0.642109

0.695652

0.8954

(−5, −1, −2)

0.9, 0.7, 0.8

0.8527

(−5, −1, −2)

0.7, 0.8, 0.9

0.8611

(−2, −5, −1)

0.8, 0.85, 0.7

0.9115

(−2, −5, −1)

0.9, 0.75, 0.8

0.8667

(−1, −2, −5)

0.7, 0.8, 0.85

0.7799

(−1, −2, −5)

0.8, 0.7, 0.75

0.8240