On Fuzzy Cardinal Semantic Transformations
Alexander Chunikhin, Vadym Zhytniuk
TL;DR
This paper introduces fuzzy cardinal semantic transformations to develop fuzzy semantic numeration systems, considering fuzziness in data and parameters, and applies these transformations to discrete and continuous fuzzy numbers.
Contribution
It presents a novel framework for fuzzy cardinal semantic transformations, including the formation of fuzzy common carry in multi-input operators, advancing fuzzy numeration systems.
Findings
Defined fuzzy cardinal semantic transformations for discrete fuzzy numbers.
Extended transformations to continuous triangular fuzzy numbers.
Established principles for fuzzy common carry in multi-input operators.
Abstract
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.
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Taxonomy
TopicsRough Sets and Fuzzy Logic · Cognitive Computing and Networks · Advanced Computational Techniques in Science and Engineering