An Extended Generalized Disjunctive Paraconsistent Data Model for Disjunctive Information

This paper presents an extension of generalized disjunctive paraconsistent relational data model in which pure disjunctive positive and negative information as well as mixed disjunctive positive and negative information can be represented explicitly and manipulated. We consider explicit mixed disjunctive information in the context of disjunctive databases as there is an interesting interplay between these two types of information. Extended generalized disjunctive paraconsistent relation is introduced as the main structure in this model. The relational algebra is appropriately generalized to work on extended generalized disjunctive paraconsistent relations and their correctness is established.

[1]  R. Sunderraman,et al.  A Generalized Relational Model for Indefinite and Maybe Information , 1991, IEEE Trans. Knowl. Data Eng..

[2]  E. F. Codd,et al.  A relational model of data for large shared data banks , 1970, CACM.

[3]  E. F. Codd,et al.  A Relational Model for Large Shared Data Banks , 1970 .

[4]  Arun K. Majumdar,et al.  Fuzzy Functional Dependencies and Lossless Join Decomposition of Fuzzy Relational Database Systems , 1988, ACM Trans. Database Syst..

[5]  Erol Gelenbe,et al.  A probability model of uncertainty in data bases , 1986, 1986 IEEE Second International Conference on Data Engineering.

[6]  E. F. Codd,et al.  Missing information (applicable and inapplicable) in relational databases , 1986, SGMD.

[7]  Tomasz Imielinski,et al.  Incomplete Information in Relational Databases , 1984, JACM.

[8]  Rajshekhar Sunderraman,et al.  A Generalized Disjunctive Paraconsistent Data Model for Negative and Disjunctive Information , 2004, ArXiv.

[9]  David Maier,et al.  The Theory of Relational Databases , 1983 .

[10]  Carolina Ruiz,et al.  On Extended Disjunctive Logic Programs , 1993, ISMIS.

[11]  Carolina Ruiz,et al.  Semantics for Disjunctive Logic Programs with Explicit and Default Negation , 1994, Fundam. Informaticae.

[12]  John Grant,et al.  Incomplete Information in a Relational Database , 1980, Fundamenta Informaticae.

[13]  Raymond Reiter,et al.  Towards a Logical Reconstruction of Relational Database Theory , 1982, On Conceptual Modelling.

[14]  Rajshekhar Sunderraman,et al.  Deductive Databases with Conditional Facts , 1993, BNCOD.

[15]  Rajshekhar Sunderraman,et al.  Indefinite and maybe information in relational databases , 1990, TODS.