Qualitative and Quantitative Formalisms for Knowledge Representation in the Theory of Multitudes
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The theory of multitudes pretends to be an alternative to virtually all existing versions of the set theory and claims to better handle the knowledge about changing and evolving world. Then, by analogy, one may expect an original logical system based on the theory of multitudes, and within this logic, an authentic calculus. This chapter presents such calculus. Moreover, a new mathematical methodology can be developed on top of it, which together with the underlying logic, should clearly separate qualitative and quantitative, static and dynamic concerns and offer a formal method to proceed from representation of expert knowledge to modeling the world this knowledge is about.
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2014 ◽
Vol 667
◽
pp. 60-63
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2021 ◽
Vol 94
(1)
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pp. 228-236