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The basic terminologies of decision-mapping, including extension, equivalence, completeness, complementariness, and active domain, have been defined based on rigorous set-theoretic formalism, and the most important properties of decision-mappings have been identified and proved.
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Based on the interval set-theoretic model, traditional displacement constraint is transformed into the non-probabilistic reliability format, in which a novel measuring index, namely, the optimization feature distance is defined by a combination of the area-ratio ideas.
Over the last decade, a set of new techniques for data analysis, based on a set-theoretic formalism, has been gaining traction.
And it's all based on rigorous data analysis.
The inclusion and exclusion of the materials are based on rigorous literature review and expert judges.
Cost-effectiveness analyses based on rigorous empirical data are scarce.
However, these practices are not based on rigorous evidence.
However, few of these tools are based on rigorous research.
Hence further studies based on rigorous designs should be recommended.
The mapped algorithm is based on the set theoretic description of the LS function.
The model is validated with results from the rigorous numerical model developed earlier by App (2010), based on one set of actual field data.
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