Computer Engineering Commons^™

Random Fuzzy Sets, Hung T. Nguyen, Vladik Kreinovich, Gang Xiang

Departmental Technical Reports (CS)

It is well known that in decision making under uncertainty, while we are guided by a general (and abstract) theory of probability and of statistical inference, each specific type of observed data requires its own analysis. Thus, while textbook techniques treat precisely observed data in multivariate analysis, there are many open research problems when data are censored (e.g., in medical or bio-statistics), missing, or partially observed (e.g., in bioinformatics). Data can be imprecise due to various reasons, e.g., due to fuzziness of linguistic data. Imprecise observed data are usually called {\it coarse data}. In this chapter, we consider coarse data …