Bipolar queries on fuzzy univalued and multivalued attributes in object databases

Flexible querying has been developed with the aim of proposing powerful and user-friendly ways of setting and solving queries. Within the context of flexible querying, the use of bipolar queries has deserved the attention of the research community as a way of distinguishing in queries negative and positive assessments of data. Bipolar queries have been specially studied in the framework of crisp relational databases. In this paper, we propose an approach to bipolar queries in fuzzy object databases. Through the use of a generalized inclusion concept, we deal with bipolar conditions on both fuzzy univalued and multivalued attributes. The consistence of the proposed approach with the bipolar queries rationale is also analyzed.

[1]  Didier Dubois,et al.  Semantics of quotient operators in fuzzy relational databases , 1996, Fuzzy Sets Syst..

[2]  Didier Dubois,et al.  Bipolarity in Flexible Querying , 2002, FQAS.

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

[4]  Vincent Claveau,et al.  Implication-based and cardinality-based inclusions in information retrieval , 2009, 2009 IEEE International Conference on Fuzzy Systems.

[5]  Antoon Bronselaer,et al.  Handling Bipolarity in Elementary Queries to Possibilistic Databases , 2010, IEEE Transactions on Fuzzy Systems.

[6]  Daniel Sánchez,et al.  Complex object comparison in a fuzzy context , 2003, Inf. Softw. Technol..

[7]  Patrick Bosc,et al.  On a fuzzy bipolar relational algebra , 2013, Inf. Sci..

[8]  Slawomir Zadrozny,et al.  Bipolar queries: An aggregation operator focused perspective , 2012, Fuzzy Sets Syst..

[9]  Zongmin Ma,et al.  Advances In Fuzzy Object-oriented Databases: Modeling And Applications , 2004 .

[10]  D. Dubois,et al.  Weighted fuzzy pattern matching , 1988 .

[11]  Nicolás Marín,et al.  A General Framework for Computing with Words in Object-Oriented Programming , 2007, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[12]  Patrick Bosc,et al.  Fuzzy Preference Queries to Relational Databases , 2012 .

[13]  Jonathan Lee,et al.  A note on current approaches to extending fuzzy logic to object‐oriented modeling , 2001, Int. J. Intell. Syst..

[14]  Ollivier Haemmerlé,et al.  Flexible Bipolar Querying of Uncertain Data Using an Ontology , 2013, Flexible Approaches in Data, Information and Knowledge Management.

[15]  Nicolás Marín,et al.  Managing fuzziness on conventional object‐oriented platforms , 2007, Int. J. Intell. Syst..

[16]  Daniel Sánchez,et al.  Fuzzy quantification: a state of the art , 2014, Fuzzy Sets Syst..

[17]  Ludovic Lietard,et al.  Fuzzy bipolar conditions of type ”or else” , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[18]  O. Pivert,et al.  Exceptions and resemblance: Two keys for tolerant division operators , 2008, NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society.

[19]  Michal Baczynski,et al.  (S, N)- and R-implications: A state-of-the-art survey , 2008, Fuzzy Sets Syst..

[20]  Rita De Caluwe Fuzzy And Uncertain Object-Oriented Databases: Concepts And Models , 1997 .

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

[22]  B. Buckles,et al.  Modelling class hierarchies in the fuzzy object-oriented data model , 1993 .

[23]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[24]  Patrick Bosc,et al.  On four noncommutative fuzzy connectives and their axiomatization , 2012, Fuzzy Sets Syst..

[25]  I. Turksen Interval valued fuzzy sets based on normal forms , 1986 .

[26]  José Galindo,et al.  Handbook of Research on Fuzzy Information Processing in Databases , 2008, Handbook of Research on Fuzzy Information Processing in Databases.

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

[28]  Patrick Bosc,et al.  On Diverse Approaches to Bipolar Division Operators , 2011, Int. J. Intell. Syst..

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

[30]  Nicolás Marín,et al.  Enabling Fuzzy Object Comparison in Modern Programming Platforms through Reflection , 2003, IFSA.

[31]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[32]  Lhomme Ludovic,et al.  Towards an Extended SQLf: Bipolar Query Language with Preferences , 2007 .

[33]  Slawomir Zadrozny,et al.  Bipolarity in Database Querying: Various Aspects and Interpretations , 2013, Flexible Approaches in Data, Information and Knowledge Management.

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

[35]  Didier Dubois,et al.  An overview of the asymmetric bipolar representation of positive and negative information in possibility theory , 2009, Fuzzy Sets Syst..

[36]  Nicolás Marín,et al.  An approach to solve division-like queries in fuzzy object databases , 2012, Fuzzy Sets Syst..

[37]  Ludovic Lietard,et al.  Bipolar Conjunctive Query Evaluation for Ontology Based Database Querying , 2013, FQAS.

[38]  Didier Dubois,et al.  Extended Divisions for Flexible Queries in Relational Databases , 2000 .

[39]  Didier Dubois,et al.  A HIERARCHICAL MODEL OF FUZZY CLASSES , 1997 .

[40]  M.A. Vila,et al.  pg4DB: A fuzzy object-relational system , 2008, Fuzzy Sets Syst..

[41]  Didier Dubois,et al.  Handling Bipolar Queries in Fuzzy Information Processing , 2008, Handbook of Research on Fuzzy Information Processing in Databases.

[42]  Adnan Yazici,et al.  IFOOD: An Intelligent Fuzzy Object-Oriented Database Architecture , 2003, IEEE Trans. Knowl. Data Eng..

[43]  Slawomir Zadrozny,et al.  Compound bipolar queries: combining bipolar queries and queries with fuzzy linguistic quantifiers , 2013, EUSFLAT Conf..