Applications of Belief Functions in Business Decisions: A Review
Information Systems Frontiers
Knowledge representation and integration for portfolio evaluation using linear belief functions
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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This paper proposes the concept of imaginary extreme numbers, which are like traditional imaginary number a+bi with i=-1 being replaced by e=1/0, along with the usual operations on these numbers including addition, subtraction, and division. It then applies the concept to representing linear equations in knowledge-based systems. It proves that the combination of linear equations via Dempster@?s rule is equivalent to solving a system of simultaneous equations or finding a least-squares estimate when they are overdetermined.