Distributed preference relations for multiple attribute decision analysis |
| |
Authors: | Chao Fu Dong-Ling Xu Shan-Lin Yang |
| |
Institution: | 1.Hefei University of Technology,Anhui,P.R. China;2.Key Laboratory of Process Optimization and Intelligent Decision-making, Ministry of Education,Anhui,P.R. China;3.The University of Manchester,Manchester,UK |
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|