Aggregative rank of alternatives and its application

Qi Zong Wu; Fu Jun Hou

Aggregative rank of alternatives and its application

Qi Zong Wu^*, Fu Jun Hou

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The concept and approach of aggregative rank is given. Three kinds of alternative relations are proposed. Based on these relations, three alternative sets are defined with respect to each alternative. The aggregative rank is then defined and the algorithm for obtaining the aggregative rank from an alternative set is proposed. The time complexity is analyzed. The worst-case time complexity of the algorithm is O(n³). The aggregative rank index and the aggregative precedence relation between the alternatives are proposed. Stability analysis of the aggregative rank is performed. The sufficient conditions for the stability of the aggregative rank are then obtained. Finally, an illustrative example is given.

Original language	English
Pages (from-to)	521-524
Number of pages	4
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	26
Issue number	6
Publication status	Published - Jun 2006

Keywords

Alternative's aggregative rank
Precedence relation
Stability

Cite this

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title = "Aggregative rank of alternatives and its application",

abstract = "The concept and approach of aggregative rank is given. Three kinds of alternative relations are proposed. Based on these relations, three alternative sets are defined with respect to each alternative. The aggregative rank is then defined and the algorithm for obtaining the aggregative rank from an alternative set is proposed. The time complexity is analyzed. The worst-case time complexity of the algorithm is O(n3). The aggregative rank index and the aggregative precedence relation between the alternatives are proposed. Stability analysis of the aggregative rank is performed. The sufficient conditions for the stability of the aggregative rank are then obtained. Finally, an illustrative example is given.",

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AU - Wu, Qi Zong

AU - Hou, Fu Jun

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N2 - The concept and approach of aggregative rank is given. Three kinds of alternative relations are proposed. Based on these relations, three alternative sets are defined with respect to each alternative. The aggregative rank is then defined and the algorithm for obtaining the aggregative rank from an alternative set is proposed. The time complexity is analyzed. The worst-case time complexity of the algorithm is O(n3). The aggregative rank index and the aggregative precedence relation between the alternatives are proposed. Stability analysis of the aggregative rank is performed. The sufficient conditions for the stability of the aggregative rank are then obtained. Finally, an illustrative example is given.

AB - The concept and approach of aggregative rank is given. Three kinds of alternative relations are proposed. Based on these relations, three alternative sets are defined with respect to each alternative. The aggregative rank is then defined and the algorithm for obtaining the aggregative rank from an alternative set is proposed. The time complexity is analyzed. The worst-case time complexity of the algorithm is O(n3). The aggregative rank index and the aggregative precedence relation between the alternatives are proposed. Stability analysis of the aggregative rank is performed. The sufficient conditions for the stability of the aggregative rank are then obtained. Finally, an illustrative example is given.

KW - Alternative's aggregative rank

KW - Precedence relation

KW - Stability

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SN - 1001-0645

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JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 6

ER -

Aggregative rank of alternatives and its application

Abstract

Keywords

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