evidential reasoning approach

The evidential reasoning approach has recently been developed on the basis of decision theory in particular utility theory,{{cite book |author1=Keeney, R.L. |author2=Raiffa, H. |title=Decisions with Multiple Objectives |publisher=Cambridge University Press |year=1976 |isbn=978-0-521-43883-4 }} artificial intelligence in particular the theory of evidence,{{cite book |author=Shafer, G.A. |title=Mathematical Theory of Evidence |url=https://archive.org/details/mathematicaltheo0000shaf |url-access=registration |publisher=Princeton University Press |year=1976 |isbn=978-0-691-08175-5 }} statistical analysis and computer technology. It uses a belief structure to model an assessment with uncertainty, a belief decision matrix to represent an MCDA problem under uncertainty, evidential reasoning algorithms{{cite journal |doi=10.1109/TSMCA.2002.802746 |author1=Yang J.B. |author2=Xu D.L. |title=On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty |journal=IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans |volume=32 |pages=289–304 |year=2002 |issue=3 }} to aggregate criteria for generating distributed assessments, and the concepts of the belief and plausibility functions to generate a utility interval for measuring the degree of ignorance. A conventional decision matrix used for modeling an MCDA problem is a special case of a belief decision matrix.{{cite journal |doi=10.1016/j.ejor.2005.02.064 |author1=Xu D.L. |author2=Yang J.B. |author3=Wang Y.M. |title=The ER approach for multi-attribute decision analysis under interval uncertainties |journal=European Journal of Operational Research |volume=174 |issue=3 |pages=1914–43 |year=2006 }}{{cite journal |doi=10.1016/j.artint.2013.09.003 |author1=Yang J.B. |author2=Xu D.L. |title=Evidential Reasoning Rule for Evidence Combination |journal=Artificial Intelligence |volume=205 |pages=1–29 |year=2013 |doi-access=free }}

The use of belief decision matrices for MCDA problem modelling in the ER approach results in the following features:

1. An assessment of an option can be more reliably and realistically represented by a belief decision matrix than by a conventional decision matrix.
2. It accepts data of different formats with various types of uncertainties as inputs, such as single numerical values, probability distributions, and subjective judgments with belief degrees.
3. It allows all available information embedded in different data formats, including qualitative and incomplete data, to be maximally incorporated in assessment and decision making processes.
4. It allows assessment outcomes to be represented more informatively.
5. It reduces the uncertainty in human and AI decisions.{{cite journal |doi=10.1016/j.irfa.2024.103149 |author1=Sachan, S. |author2=Almaghrabi, F. |author3=Yang, J.B. |author4=Xu, D.L. |title=Human-AI collaboration to mitigate decision noise in financial underwriting: A study on FinTech innovation in a lending firm |journal=International Review of Financial Analysis |volume=93 |pages=103149 |year=2024 |doi-access=free }}

• Decision-making software
• Ordinal Priority Approach (OPA)

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• [http://www.terry.uga.edu/mcdm/ International Society on Multiple Criteria Decision Making] {{Webarchive|url=https://web.archive.org/web/20121214143115/http://www.terry.uga.edu/mcdm/ |date=2012-12-14 }}

Category:Multiple-criteria decision analysis