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Table 1.

Application of MCDM methods for the different problem.

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Fig 1.

Membership functions of linguistic variables for measuring rating of alternatives.

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Table 2.

The TFNs of linguistic variables for rating of alternatives.

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Table 2 Expand

Fig 2.

Membership functions of linguistic variables for the importance weight of criteria.

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Fig 2 Expand

Table 3.

The TFNs of linguistic variables for the importance weight of criteria.

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Fig 3.

Overall research framework.

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Table 4.

Criteria for mobile service evaluation within navigation category.

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Table 5.

Initial direct-influence fuzzy matrix as assessed by decision makers.

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Table 6.

Aggregated initial direct-influence defuzzified matrix.

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Table 7.

Total-influence matrix and subjective weights.

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Fig 4.

Influence relation map (IRM).

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Table 8.

Linguistic variables for rating of alternatives assessed by decision makers.

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Table 9.

Objective weights based on entropy measure.

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Table 10.

Integrated weights of criteria.

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Table 11.

Aggregated defuzzified ratings of alternatives.

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Table 12.

Positive ideal solutions and negative ideal solutions .

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Table 13.

Scores of .

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Table 14.

Q values and ranking.

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Fig 5.

Sensitivity analysis of coefficient for integrated weight.

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Fig 6.

Sensitivity analysis for influence levels of the v value in VIKOR method.

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Table 15.

Comparison with other methods.

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