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Selecting an appropriate treatment regimen for an HIV-infected patient is a significant problem. We previously developed a regimen selection system for the first-round HIV/AIDS treatment based on the fuzzy discrete event systems (FDES) theory where type-1 fuzzy sets are used to represent experts' consensus. In clinical practice, different experts may have their own distinct knowledge and expertise...
Whether a rule-based fuzzy system has the ability to approximate any multivariate continuous function arbitrarily well is an important issue, especially for fuzzy control and fuzzy modeling. The answer to this issue concerning various Mamdani and Takagi-Sugeno (TS) fuzzy systems employing type-1 fuzzy sets is affirmative and well documented in the literature. As for type-2 (T2) fuzzy systems, the...
The algebra of truth values for fuzzy sets of type-2 consists of all mappings from the unit interval into itself, with operations certain convolutions of these mappings with respect to pointwise max and min. This algebra has been studied rather extensively in the last few years, both from an applications point of view and a theoretical one. Most of the theory goes through when is replaced by any two...
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