Introduction
Preliminaries
Standardize the decision matrix
TODIM strategy for solving MAGDM problem under TrNN environment
Illustrative example
Sensitive analysis on influence of the parameter γ to ranking order
Value of \( \gamma \) | Global value | Ranking order of the alternatives |
---|---|---|
\( \gamma = 1 \)
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\( \tau_{1} = 0.3952,\tau_{2} = 0,\tau_{3} = 0.6611,\tau_{4} = 1 \)
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\( u^{\prime}_{4} > u^{\prime}_{3} > u^{\prime}_{1} > u^{\prime}_{2} \)
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\( \gamma = 2 \)
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\( \tau_{1} = 0.4689,\tau_{2} = 0,\tau_{3} = 0.2904,\tau_{4} = 1 \)
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\( u^{\prime}_{4} > u^{\prime}_{1} > u^{\prime}_{3} > u^{\prime}_{2} \)
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\( \gamma = 3 \)
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\( \tau_{1} = 0.5243,\tau_{2} = 0,\tau_{3} = 0.3248,\tau_{4} = 1 \)
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\( u^{\prime}_{4} > u^{\prime}_{1} > u^{\prime}_{3} > u^{\prime}_{2} \)
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\( \gamma = 4 \)
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\( \tau_{1} = 0.5267,\tau_{2} = 0,\tau_{3} = 0.4842,\tau_{4} = 1 \)
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\( u^{\prime}_{4} > u^{\prime}_{1} > u^{\prime}_{3} > u^{\prime}_{2} \)
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\( \gamma = 5 \)
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\( \tau_{1} = 0.5591,\tau_{2} = 0,\tau_{3} = 0.5702,\tau_{4} = 1 \)
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\( u^{\prime}_{4} > u^{\prime}_{3} > u^{\prime}_{1} > u^{\prime}_{2} \)
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