On Fuzzy Cardinal Semantic Transformations
This work addresses a niche problem in fuzzy logic and semantic systems, likely incremental as it builds on existing fuzzy concepts.
The paper introduced fuzzy cardinal semantic transformations to create fuzzy semantic numeration systems, handling fuzziness in initial data and operator parameters, and formulated principles for fuzzy common carry in multi-input operators.
The concept of fuzzy cardinal semantic transformation as a basis for creating fuzzy semantic numeration systems is introduced in this work. Both fuzziness of the initial data - cardinals of abstract entities - and fuzziness of the parameters of the cardinal semantic operators are considered. We also expressed cardinal semantic transformations for discrete fuzzy numbers and for continuous triangular fuzzy numbers. The principle of formation of the fuzzy common carry in the cardinal semantic operators with multiple inputs is formed.