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- W1997010382 abstract "This paper proposes the concept of imaginary extreme numbers, which are like traditional imaginary number a + b i 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 Dempsterʼs rule is equivalent to solving a system of simultaneous equations or finding a least-squares estimate when they are overdetermined. • Proposed a new concept of imaginary extreme numbers. • Resolved the division-by-zero problem in sweeping and Gaussian elimination operations. • Applied imaginary numbers to representing linear models in knowledge-based systems. • Established a new method for solving linear equations via combining belief functions. • Reduced exponential complexity into polynomial-time for linear models-based inferences." @default.
- W1997010382 created "2016-06-24" @default.
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- W1997010382 date "2014-01-01" @default.
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- W1997010382 title "Imaginary numbers for combining linear equation models via Dempsterʼs rule" @default.
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- W1997010382 doi "https://doi.org/10.1016/j.ijar.2013.09.004" @default.
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