Semantic Numeration Systems as Information Tools for Fuzzy Data Processing

Abstract

We describe the concept of semantic numeration systems (SNS) as a certain class of context-based numeration methods. The main attention is paid to the key elements of semantic numeration systems - cardinal semantic operators. A classification of semantic numeration systems is given. The concept of fuzzy cardinal semantic transformation as a basis for creating fuzzy semantic numeration systems is advanced. Both fuzziness of the initial data - cardinals of abstract entities - and fuzziness of the parameters of the cardinal semantic operators are considered. The principle of formation of the fuzzy common carry in the cardinal semantic operators with multiple inputs is formulated.