...∈Z_Σ. © Emerald Group Publishing Limited 2013 Alysidal set Gnorpsic function Gödel theorem Incompleteness Inconsistency Nonwished effects DIS The concept of alysidal (from the Greek alysida: chain) set is essential in the approach of Deontical impure systems...

..., as well, of the existence of a legislative body with their obligations, prohibitions and permissions that regulate them. A Social System Σ may be considered like an alysidal set with an only alysidal element. The authors consider two theories: Enlarged theory and Reduced theory. Originality/value...

... of Alysidal Algebra, which is important for the study of deontical impure systems. They are defined coupling functions and alysidal structures. It is defined as a special coupling function denominated gnorpsic function that can be used for algebraic operations between alysidal sets. J. Nescolarde‐Selva...

... and inferential relations, depend, as well, on the existence of a legislative body with their obligations, prohibitions and permissions that regulate them. Originality/value The concepts of alysidal set are introduced, whose elements are chains and coupling function between alysidal sets. Environment...