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Formal semantic theories underpin a wide range of methodologies in knowledge science, cognitive linguistics, machine learning, and cognitive computing. This paper presents a set of mathematical rules for rigorous concept and semantics manipulations. Mathematical models of the universe of discourse of knowledge, semantic space and formal concepts are created. The formal properties of knowledge are...
The fuzzy and algebraic treatment of the hyperstructured logical variables and complex logical expressions are centric in inference methodologies of many contemporary disciplines such as cognitive informatics, cognitive computing, computational linguistics, cognitive semantics, causal inferences, computing with words, cognitive robotics, and computational intelligence. This paper presents a denotational...
Semantics is the meaning of a language unit at the levels of word, phrase, sentence, paragraph, and essay. Cognitive linguistics focuses on cognitive semantics of sentences and its interaction with syntactic structures. A denotational mathematical framework of language semantics known as semantic algebra is developed in this paper. Semantic algebra reveals the nature of semantics by a general mathematical...
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