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1 | (4) |
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1.1 The Connotation of Uncertainty |
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1 | (1) |
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1.2 The Research Scope of Uncertain Judgment Knowledge |
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2 | (1) |
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1.3 A Historical Evolution of Uncertainty Fuzzy Sets Theory |
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2 | (1) |
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1.4 Research Contents of Uncertain Preference Relations |
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3 | (2) |
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2 Relevant Theories of Reciprocal Preference and Fuzzy Preference Relations |
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5 | (14) |
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2.1 Preference Relations and Their Scales |
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5 | (3) |
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2.2 Properties of Preference Relations |
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8 | (3) |
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8 | (1) |
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2.2.2 Properties of Fuzzy Preference Relations (FPRs) |
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9 | (2) |
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2.3 Priority Method of Fuzzy Preference Relations with Incomplete Information |
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11 | (7) |
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2.3.1 A Least Square Model for Collective Preference Relations with Incomplete Information |
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12 | (5) |
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17 | (1) |
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18 | (1) |
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3 Complementary Preference Relations of Interval Fuzzy Numbers |
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19 | (26) |
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19 | (2) |
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3.2 Properties and Priorities of IFNCPRs with Additive Consistency |
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21 | (6) |
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3.2.1 Properties of IFNCPRs with Additive Consistency |
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21 | (4) |
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3.2.2 A Numerical Example |
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25 | (2) |
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3.3 Properties and Priorities of IFNCPRs with Multiplicative Consistency |
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27 | (7) |
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3.3.1 Properties of IFNCPRs with Multiplicative Consistency |
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27 | (5) |
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3.3.2 Priorities of IFNCPRs with Multiplicative Consistency |
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32 | (1) |
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3.3.3 A Numerical Example |
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33 | (1) |
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3.4 Group Decision Making Based on Complementary Judgment Matrices of Incomplete Interval Fuzzy Numbers |
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34 | (5) |
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3.4.1 Least Squares Priority Model of Complementary Preference Relations of Incomplete Interval Fuzzy Numbers |
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34 | (4) |
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3.4.2 A Numerical Example |
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38 | (1) |
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3.5 Logarithmic Least Squares Priority Model of Collective IFNCPRs |
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39 | (5) |
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3.5.1 Logarithmic Least Squares Priority Model of Collective IFNCPRs |
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39 | (3) |
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3.5.2 A Numerical Example |
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42 | (2) |
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44 | (1) |
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4 Complementary Preference Relations of Triangular Fuzzy Numbers |
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45 | (30) |
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46 | (1) |
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4.2 Properties and Priority of Additively Consistent Complementary Preference Relations of Triangular Fuzzy Numbers |
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47 | (10) |
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4.2.1 A Comparative Method of Two Triangular Fuzzy Numbers |
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47 | (1) |
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4.2.2 Additively Consistent Complementary Preference Relations of Triangular Fuzzy Numbers |
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48 | (6) |
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4.2.3 Aggregations of Complementary Preference Relations of Triangular Fuzzy Numbers |
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54 | (2) |
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4.2.4 A Numerical Example |
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56 | (1) |
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4.3 Properties and Priority of Multiplicatively Consistent Complementary Preference Relations of Triangular Fuzzy Numbers |
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57 | (9) |
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4.3.1 Properties of Multiplicatively Consistent Complementary Preference Relations of Triangular Fuzzy Numbers |
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57 | (7) |
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4.3.2 Priorities of TFNCPRs with Multiplicative Consistency |
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64 | (1) |
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4.3.3 A Numerical Example |
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65 | (1) |
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4.4 Group Decision Making Based on TFNCPRs |
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66 | (8) |
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4.4.1 Least Squares Priority Model of Incomplete TFNCPRs |
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66 | (6) |
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4.4.2 A Numerical Example |
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72 | (2) |
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74 | (1) |
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5 Two-Tuple Linguistic Preference Relations |
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75 | (18) |
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5.1 The Basic Concept of 2-Tuple Linguistic Term Set |
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76 | (3) |
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5.2 Two-Tuple Linguistic Preference Relations |
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79 | (6) |
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5.3 Relationship between FPRs and 2-Tuple LPRs |
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85 | (3) |
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88 | (2) |
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90 | (3) |
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6 Preference Relations of Trapezoidal Fuzzy Numbers |
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93 | (10) |
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6.1 Relationship between Preference Relations of Trapezoidal Fuzzy Numbers and 2-Tuple LPRs |
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93 | (5) |
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6.2 Aggregation of Preference Relations of Trapezoidal Fuzzy Numbers |
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98 | (2) |
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100 | (2) |
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102 | (1) |
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7 Group Decision Making for Different Fuzzy Preference Relations |
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103 | (18) |
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7.1 Group Decision Making Based on 2-Tuple Linguistic LPRs with Different Fuzzy Preferences |
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103 | (12) |
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103 | (2) |
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7.1.2 Relationship between Uncertainty Preference Relations and 2-Tuple LPRs |
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105 | (7) |
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7.1.3 Aggregation of Different Preference Relations |
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112 | (1) |
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7.1.4 A Numerical Example |
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113 | (2) |
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7.2 Group Decision Making for Different Preference Relations |
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115 | (5) |
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7.2.1 Steps for Aggregating Different Fuzzy Preference Relations |
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115 | (2) |
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7.2.2 A Numerical Example |
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117 | (3) |
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120 | (1) |
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8 Intuitionistic Fuzzy Preference Relations |
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121 | (74) |
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122 | (2) |
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8.1.1 Intuitionistic Fuzzy Sets |
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122 | (1) |
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8.1.2 Comparison of Intuitionistic Fuzzy Values |
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123 | (1) |
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8.2 Intuitionistic Fuzzy Preference Relations |
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124 | (3) |
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8.2.1 Intuitionistic Fuzzy Preference Relations |
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124 | (1) |
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8.2.2 Relationship between IFPRs and the IFNCPRs |
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125 | (2) |
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8.3 Additive Consistency of IFPRs |
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127 | (11) |
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8.3.1 Additive Consistency of IFPRs |
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127 | (7) |
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134 | (4) |
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8.4 Multiplicatively Consistent IFPRs |
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138 | (6) |
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8.5 Least Squared Priority Models of IFPRs |
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144 | (7) |
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8.5.1 Priority Model of Consistent IFPRs |
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144 | (3) |
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8.5.2 Priority Model of Multiplicatively Consistent IFPRs |
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147 | (1) |
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8.5.3 Priority Model of Inconsistent IFPRs |
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147 | (2) |
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8.5.4 Priority Algorithm of IFPRs |
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149 | (1) |
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149 | (2) |
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8.6 Goal Programming Priority Model of IFPRs |
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151 | (8) |
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8.6.1 Normalization of Intervals |
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151 | (1) |
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8.6.2 Goal Programming Priority Model of Inconsistent IFPRs |
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152 | (1) |
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8.6.3 Goal Programming Priority of Collectively Inconsistent IFPRs |
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153 | (3) |
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156 | (3) |
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8.7 Optimal Priority Models of Additively Consistent IFPRs |
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159 | (16) |
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8.7.1 Additively Consistent IFPRs |
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160 | (2) |
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8.7.2 Priority of Collective Additively Consistent IFPRs |
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162 | (2) |
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8.7.3 The Priority of an Individual Inconsistent IFPR |
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164 | (2) |
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8.7.4 Priority of Collective Inconsistent IFPRs |
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166 | (1) |
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167 | (6) |
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8.7.6 IFPR Models Applied to Select Meteorologically-Sensitive Industries |
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173 | (2) |
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8.8 Optimization Models of Incomplete IFPRs |
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175 | (4) |
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8.8.1 Optimization Models of Incomplete IFPRs |
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175 | (2) |
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8.8.2 A Numerical Example |
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177 | (2) |
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8.9 Group Decision Making Model Based on IFPRs |
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179 | (8) |
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8.9.1 Operation Laws of Intuitionistic Fuzzy Values |
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179 | (1) |
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8.9.2 Group Decision Making Model of IFPRs |
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180 | (5) |
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8.9.3 A Numerical Example |
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185 | (2) |
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8.10 Consensus Measures of Group IFPRs |
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187 | (4) |
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8.10.1 Consensus Measure of IFPRs |
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187 | (3) |
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8.10.2 A Numerical Example |
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190 | (1) |
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191 | (4) |
References |
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195 | (10) |
Index |
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205 | |