Journal
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
Volume 67, Issue 3, Pages 457-473Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1057/jors.2015.71
Keywords
decision analysis; multiple attribute decision analysis; distributed preference relation; score matrix; consistency of score matrix; evaluation of strategic emerging industries
Funding
- National Natural Science Foundation of China [71131002, 71331002, 71201043, 71571060]
- National Key Basic Research Programme of China [2013CB329603]
- Humanities and Social Science Foundation of Ministry of Education in China [12YJC630046]
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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.
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