Functional Dependencies Analyse in Fuzzy Relational Database Models

This paper presents a literature overview of Fuzzy Relational Database Models with emphasis on the role of functional dependencies in logical designing and modeling. The aim is the analysis of recent results in this field. Fuzzy set theory is widely applied for the classical relational database extensions resulting in numerous contributions. This is because fuzzy sets and fuzzy logic are powerful tool for manilupating imprecise and uncertain information. A significant body of research in efficient designing FRDM has been developed over the last decades. Knowing the set of functional dependencies, database managers have a chance to normalize the same eliminating redundancy and data anomalies. In this paper we have considered the most important results in this field.

[1]  H. Carter Fuzzy Sets and Systems — Theory and Applications , 1982 .

[2]  J. Kacprzyk,et al.  Fuzzy information and database systems , 1990 .

[3]  Wei-yi Liu,et al.  Extending the relational model to deal with fuzzy values , 1993 .

[4]  Zongmin Ma,et al.  Fuzzy Database Modeling of Imprecise and Uncertain Engineering Information , 2006 .

[5]  Tadeusz Radecki A theoretical background for applying fuzzy set theory in information retrieval , 1983 .

[6]  Didier Dubois,et al.  The three semantics of fuzzy sets , 1997, Fuzzy Sets Syst..

[7]  Didier Dubois,et al.  Fuzzy set and possibility theory-based methods in artificial intelligence , 2003, Artif. Intell..

[8]  Patrick Bosc,et al.  On the impact of regular functional dependencies when moving to a possibilistic database framework , 2003, Fuzzy Sets Syst..

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

[10]  Olga Pons,et al.  Data Summarization in Relational Databases through Fuzzy Dependencies , 1999, Inf. Sci..

[11]  B. Tyagi,et al.  Fuzzy functional dependencies and independencies in extended fuzzy relational database models , 1995 .

[12]  Juan Miguel Medina,et al.  Towards the implementation of a generalized fuzzy relational database model , 1995, Fuzzy Sets Syst..

[13]  Vilém Vychodil,et al.  Codd's Relational Model from the Point of View of Fuzzy Logic , 2011, J. Log. Comput..

[14]  A. Bonaert Introduction to the theory of Fuzzy subsets , 1977, Proceedings of the IEEE.

[15]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[16]  Olga Pons,et al.  GEFRED: A Generalized Model of Fuzzy Relational Databases , 1994, Inf. Sci..

[17]  Ding-An Chiang,et al.  Fuzzy information in extended fuzzy relational databases , 1997, Fuzzy Sets Syst..

[19]  Weiyi Liu,et al.  Fuzzy data dependencies and implication of fuzzy data dependencies , 1997, Fuzzy Sets Syst..

[20]  Sujeet Shenoi,et al.  An equivalence classes model of fuzzy relational databases , 1990 .

[21]  Rajen B. Bhatt,et al.  On the extension of functional dependency degree from crisp to fuzzy partitions , 2006, Pattern Recognit. Lett..

[22]  Patrick Bosc,et al.  Indexing principles for a fuzzy data base , 1989, Inf. Syst..

[23]  Daniel Sánchez,et al.  A definition for fuzzy approximate dependencies , 2005, Fuzzy Sets Syst..

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

[25]  Weiyi Liu A relational data model with fuzzy inheritance dependencies , 1997, Fuzzy Sets Syst..

[26]  Etienne Kerre,et al.  Some practical aspects of fuzzy database techniques: an example , 1989, Inf. Syst..

[27]  Zongmin Ma,et al.  A Literature Overview of Fuzzy Database Models , 2008, J. Inf. Sci. Eng..

[28]  A. Majumdar,et al.  The study of joins in fuzzy relational databases , 1987 .

[29]  Elke A. Rundensteiner,et al.  On nearness measures in fuzzy relational data models , 1989, Int. J. Approx. Reason..

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

[31]  Donald H. Kraft,et al.  Fuzzy information systems: managing uncertainty in databases and information retrieval systems , 1997, Fuzzy Sets Syst..

[32]  S. Jyothi,et al.  Multivalued dependencies in fuzzy relational databases and lossless join decomposition , 1997, Fuzzy Sets Syst..

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

[34]  Liu Wei-yi Constraints on fuzzy values and fuzzy functional dependencies , 1994 .

[35]  Donald H. Kraft,et al.  Fuzzy sets in database and information systems: Status and opportunities , 2005, Fuzzy Sets Syst..

[36]  A. Kaufman,et al.  Introduction to the Theory of Fuzzy Subsets. , 1977 .

[37]  Weiyi Liu,et al.  Constraints on fuzzy values and fuzzy functional dependencies , 1994, Inf. Sci..

[38]  Frederick E. Petry,et al.  Extending the fuzzy database with fuzzy numbers , 1984, Inf. Sci..