Distributed preference relations for multiple attribute decision analysis

Chao Fu, Dong-Ling Xu and Shan-Lin Yang
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Chao Fu: Hefei University of Technology, Anhui, P.R. China
Dong-Ling Xu: The University of Manchester, Manchester, UK
Shan-Lin Yang: Hefei University of Technology, Anhui, P.R. China

Journal of the Operational Research Society, 2016, vol. 67, issue 3, 457-473

Abstract: In this paper, we propose a new pairwise comparison approach called distributed preference relation (DPR) to simultaneously signify preferred, non-preferred, indifferent, and uncertain degrees of one alternative over another on a set of grades, which is more versatile for elicitation of preference information from a decision maker than multiplicative preference relation, fuzzy preference relation (FPR) and intuitionistic FPR. In a DPR matrix on a set of alternatives, each element is a distribution recording the preferred, non-preferred, indifferent, and uncertain degrees of one alternative over another using a set of grades. To facilitate the comparison of alternatives, we define a score matrix based on a DPR matrix using the given score values of the grades. Its additive consistency is constructed, analysed, and compared with the additive consistency of FPRs between alternatives. A method for comparing two interval numbers is then employed to create a possibility matrix from the score matrix, which can generate a ranking order of alternatives with possibility degrees. A problem of evaluating strategic emerging industries is investigated using the approach to demonstrate the application of a DPR matrix to modelling and analysing a multiple attribute decision analysis problem.

Date: 2016
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