2008Journal of Chongqing Institute of TechnologyRequires access

Hybrid Weighted Aggregation Operators of Interval Arguments and Their Applications in Group Decision Making

Wang Xin-fan

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Abstract

Interval argument information aggregating problems are investigated,some new interval argument information aggregation operators are developed,such as the uncertain weighted arithmetic averaging(UWAA) operator and uncertain hybrid weighted averaging(UHWA) operator,and both the uncertain ordered weighted averaging(UOWA)operator and the UWAA operator are proved to be the special cases of the UHWA operator.Based on these operators,an approach to solving uncertain multiple attribute group decision making problems is proposed,in which the attribute weights are completely known and the attribute values are interval numbers.Finally,an illustrative example shows the effectiveness of the method.

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Interval argument information aggregating problems are investigated,some new interval argument information aggregation operators are developed,such as the uncertain weighted arithmetic averaging(UWAA) operator and uncertain hybrid weighted averaging(UHWA) operator,and both the uncertain ordered weighted averaging(UOWA)operator and the UWAA operator are proved to be the special cases of the UHWA operator.Based on these operators,an approach to solving uncertain multiple attribute group decision making problems is proposed,in which the attribute weights are completely known and the attribute values are interval numbers.Finally,an illustrative example shows the effectiveness of the method.

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Available abstract

Interval argument information aggregating problems are investigated,some new interval argument information aggregation operators are developed,such as the uncertain weighted arithmetic averaging(UWAA) operator and uncertain hybrid weighted averaging(UHWA) operator,and both the uncertain ordered weighted averaging(UOWA)operator and the UWAA operator are proved to be the special cases of the UHWA operator.Based on these operators,an approach to solving uncertain multiple attribute group decision making problems is proposed,in which the attribute weights are completely known and the attribute values are interval numbers.Finally,an illustrative example shows the effectiveness of the method.

Key concepts: Operator (biology), Group decision-making, Interval (graph theory), Mathematics, Argument (complex analysis), Group (periodic table), Weighted arithmetic mean, Algorithm

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