Fuzzy Functional Dependencies in Multiargument Relationships

A multiargument relationship may be formally presented using the relational notation: R(X1, X2, ..., Xn), where R is the name of the relationship, and attributes Xi denote keys of entity sets which participate in it. The dependencies between all n attributes describe the integrity constraints and must not be infringed. They constitute a restriction for relationships of fewer attributes. In the paper an analysis of fuzzy functional dependencies between attributes of R is presented. Attribute vales are given by means of possibility distributions.

[1]  Adnan Yazici,et al.  Fuzzy Database Modeling , 1998, J. Database Manag..

[2]  L. Zadeh.  Fuzzy sets as a basis for a theory of possibility , 1999 .

[3]  Amihai Motro,et al.  Imprecision and Uncertainty in Database Systems , 1995 .

[4]  Guoqing Chen.  Fuzzy logic in data modeling: semantics, constraints, and database design , 1998 .

[5]  Il-Yeol Song,et al.  An analysis of structural validity in entity-relationship modeling , 2003, Data Knowl. Eng..

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

[7]  Devendra K. Tayal,et al.  A complete axiomatization of fuzzy functional dependencies using fuzzy function , 2005, Fuzzy Sets Syst..

[8]  Sujeet Shenoi,et al.  Functional dependencies and normal forms in the fuzzy relational database model , 1992, Inf. Sci..

[9]  Sumit Sarkar,et al.  Generalized Normal Forms for Probabilistic Relational Data , 2002, IEEE Trans. Knowl. Data Eng..

[10]  Henri Prade,et al.  Generalizing Database Relational Algebra for the Treatment of Incomplete/Uncertain Information and Vague Queries , 1984, Inf. Sci..

[11]  Janusz Kacprzyk,et al.  A Brief Introduction to Fuzzy Sets , 2019, Fuzzy Transportation and Transshipment Problems.

[12]  Hossein Saiedian,et al.  An Efficient Algorithm to Compute the Candidate Keys of a Relational Database Schema , 1996, Comput. J..

[13]  Frederick E. Petry,et al.  Principles and Applications , 1997 .

[14]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[15]  B. Buckles,et al.  A fuzzy representation of data for relational databases , 1982 .

[16]  Nancy Van Gyseghem,et al.  Imprecision and uncertainty in the UFO database model , 1998 .

[17]  Adnan Yazici,et al.  A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations , 2001, Fuzzy Sets Syst..

[18]  Amihai Motro,et al.  Accommodating imprecision in database systems: issues and solutions , 1990, SGMD.

[19]  José Galindo,et al.  Fuzzy Databases: Modeling, Design, and Implementation , 2006 .

[20]  Il-Yeol Song,et al.  Analysis of Binary/Ternary Cardinality Combinations in Entity-Relationship Modeling , 1996, Data Knowl. Eng..

[21]  Patrick Bosc,et al.  Fuzzy databases : principles and applications , 1996 .

[22]  Juan C. Cubero,et al.  A new definition of fuzzy functional dependency in fuzzy relational databases , 1994, Int. J. Intell. Syst..

[23]  Gloria Bordogna,et al.  A fuzzy object‐oriented data model for managing vague and uncertain information , 1999 .

[24]  Zongmin Ma,et al.  Extending object-oriented databases for fuzzy information modeling , 2004, Inf. Syst..