About this ebook
This short note introduces four generalized frameworks for modeling refined uncertainty: Refined Uncertain Set, Refined Nonstandard Uncertain Set, Refined Uncertain Over/Under/Off-Set, and Refined Nonstandard Uncertain Over/Under/Off-Set. These frameworks extend refined neutrosophic structures to a broader class of uncertainty representations, including fuzzy, intuitionistic fuzzy, picture fuzzy, q-rung orthopair fuzzy, spherical fuzzy, plithogenic, and related models. The proposed approach enables the decomposition of uncertainty components into refined subcomponents and further extends them into nonstandard and over/under/off domains. Analogous extensions may also be developed for logic, measure, probability, and statistics.
This short note introduces four generalized frameworks for modeling refined uncertainty: Refined Uncertain Set, Refined Nonstandard Uncertain Set, Refined Uncertain Over/Under/Off-Set, and Refined Nonstandard Uncertain Over/Under/Off-Set. These frameworks extend refined neutrosophic structures to...
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