A Hierarchical Decision Model Based on Pairwise Comparisons¹

Issue title: Theory and Practice of Pairwise Comparisons

Guest editors: Ryszard Janicki and Konrad Kułakowski

Article type: Research Article

Authors: Hou, Fujun^*

Affiliations: School of Management and Economics, Beijing Institute of Technology, Beijing 100081, P.R. China. [email protected]

Correspondence: [*] Address for correspondence: School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

Note: [1] The work was supported by the National Natural Science Foundation of China (No. 71571019)

Abstract: Pairwise comparisons (PC) method is an efficient technique and hierarchical analysis is a popular means coping with complex decision problems. Based on two proposed theorems, this paper shows that the PC-based hierarchical decision models stem from the weighted average methods (including the arithmetic form and the geometric form). Some issues (including the rank reversal, the criterion for acceptable consistency and the method for deriving priorities, etc) associated with the current PC-based hierarchical models (including the AHP, the multiplicative AHP and the FPR-AHP) are investigated. Another PC-based hierarchical decision model, which is different from the Saaty’s AHP, is introduced for applications by virtue of its desirable traits (such as the rank preservation, the isomorphic correspondence, etc).

Keywords: hierarchical decision model, weighted average method, pairwise comparisons matrix (PCM), fuzzy preference relations (FPR), isomorphic correspondence

DOI: 10.3233/FI-2016-1339

Journal: Fundamenta Informaticae, vol. 144, no. 3-4, pp. 333-348, 2016