Penta and Hexa Valued Representation of Neutrosophic Information
This work addresses theoretical representation issues in fuzzy logic and neutrosophic sets, but it appears incremental as it builds upon existing neutrosophic frameworks without clear practical applications.
The paper tackled the representation of neutrosophic information by defining a penta-valued fuzzy space with indices for truth, falsity, ignorance, contradiction, and hesitation, and extended it to a hexa-valued representation by adding an ambiguity index, resulting in the construction of associated logic and operators like union and intersection.
Starting from the primary representation of neutrosophic information, namely the degree of truth, degree of indeterminacy and degree of falsity, we define a nuanced representation in a penta valued fuzzy space, described by the index of truth, index of falsity, index of ignorance, index of contradiction and index of hesitation. Also, it was constructed an associated penta valued logic and then using this logic, it was defined for the proposed penta valued structure the following operators: union, intersection, negation, complement and dual. Then, the penta valued representation is extended to a hexa valued one, adding the sixth component, namely the index of ambiguity.