Jarrar.lecture notes.mathbachgroundforconceptualmodeling

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Lecture video by Mustafa Jarrar at Birzeit University, Palestine. See the course webpage at: http://jarrar-courses.blogspot.com/2011/09/knowledgeengineering-fall2011.html and http://www.jarrar.info and on Youtube: https://www.youtube.com/watch?v=GYmI37-0b5k&index=7&list=PLDEA50C29F3D28257

Technology

1Jarrar © 2015
(Chapter 6)
Quick Mathematical Background
for Conceptual Modeling
Reference:
Mustafa Jarrar: Lecture Notes on Mathematics for Conceptual Modeling
Birzeit University, Palestine, 2015
Mustafa Jarrar
Birzeit University, Palestine
mjarrar@birzeit.edu
www.jarrar.info

2Jarrar © 2015
Watch this lecture and download the slides from
http://jarrar-courses.blogspot.com/2015/01/dataandbusinessprocessmodelling.html
Some diagrams in this lecture are based on [1]
Keywords: Mandatory, Role Mandatory, Disjunctive Mandatory, Cardinality, Business Rules,‫اجباري‬ ،‫ضرورة‬
Slides And Videos - Download, Watch, Interact

3Jarrar © 2015
Mathematical Background
Hypothetical Euler diagrams for set comparisons.

4Jarrar © 2015
Venn diagrams for three set-forming operations.
Mathematical Background

5Jarrar © 2015
Mathematical Background
Venn diagrams for (a) A is a proper subset of B and (b)
four sets.

6Jarrar © 2015
References
1. Terry Halpin, Tony Morgan: Information Modeling and Relational Databases, Second Edition. 2nd
Edition. The Morgan Kaufmann Series in Data Management Systems. ISBN: 0123735688
2. Mustafa Jarrar and Stijn Heymans: Towards Pattern-Based Reasoning For Friendly Ontology
Debugging. Journal of Artificial Intelligence Tools. Volume 17. No.4. World Scientific Publishing. Aug
2008.
3. Mustafa Jarrar: Mapping ORM Into The SHOIN/OWL Description Logic- Towards A Methodological
And Expressive Graphical Notation For Ontology Engineering. In OTM 2007 workshops:
Proceedings of the International Workshop on Object-Role Modeling (ORM'07). Pages (729-741), LNCS
4805, Springer. ISBN: 9783540768890. Portogal. November, 2007
4. Mustafa Jarrar: Towards Automated Reasoning On ORM Schemes. -Mapping ORM Into The
DLR_idf Description Logic. In proceedings of the 26th International Conference on Conceptual
Modeling (ER 2007). Pages (181-197). LNCS 4801, Springer. Auckland, New Zealand. ISBN
9783540755623. November 2007
5. Mustafa Jarrar and Stijn Heymans: Unsatisfiability Reasoning In ORM Conceptual Schemes. In
Current Trends in Database Technology - EDBT 2006: Proceeding of the IFIP-2.6 International
Conference on Semantics of a Networked. Pages (517-534). LNCS 4254, Springer. Munich, Germany.
ISBN: 3540467882. March 2006.
6. Mustafa Jarrar, Maria Keet, and Paolo Dongilli: Multilingual Verbalization Of ORM Conceptual Models
And Axiomatized Ontologies. Technical eport. STARLab, Vrije Universiteit Brussel, Feb 2006.
7. Mustafa Jarrar: Modularization And Automatic Composition Of Object-Role Modeling (ORM)
Schemes. OTM 2005 Workshops: Proceedings of the Object-Role Modeling (ORM'05). Pages (613-
625). LNCS 3762, Springer. Larnaca, Cyprus. ISBN: 3540297391. November 2005.

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Jarrar.lecture notes.mathbachgroundforconceptualmodeling

1. 1Jarrar © 2015 (Chapter 6) Quick Mathematical Background for Conceptual Modeling Reference: Mustafa Jarrar: Lecture Notes on Mathematics for Conceptual Modeling Birzeit University, Palestine, 2015 Mustafa Jarrar Birzeit University, Palestine mjarrar@birzeit.edu www.jarrar.info

2. 2Jarrar © 2015 Watch this lecture and download the slides from http://jarrar-courses.blogspot.com/2015/01/dataandbusinessprocessmodelling.html Some diagrams in this lecture are based on [1] Keywords: Mandatory, Role Mandatory, Disjunctive Mandatory, Cardinality, Business Rules,‫اجباري‬ ،‫ضرورة‬ Slides And Videos - Download, Watch, Interact

6. 6Jarrar © 2015 References 1. Terry Halpin, Tony Morgan: Information Modeling and Relational Databases, Second Edition. 2nd Edition. The Morgan Kaufmann Series in Data Management Systems. ISBN: 0123735688 2. Mustafa Jarrar and Stijn Heymans: Towards Pattern-Based Reasoning For Friendly Ontology Debugging. Journal of Artificial Intelligence Tools. Volume 17. No.4. World Scientific Publishing. Aug 2008. 3. Mustafa Jarrar: Mapping ORM Into The SHOIN/OWL Description Logic- Towards A Methodological And Expressive Graphical Notation For Ontology Engineering. In OTM 2007 workshops: Proceedings of the International Workshop on Object-Role Modeling (ORM'07). Pages (729-741), LNCS 4805, Springer. ISBN: 9783540768890. Portogal. November, 2007 4. Mustafa Jarrar: Towards Automated Reasoning On ORM Schemes. -Mapping ORM Into The DLR_idf Description Logic. In proceedings of the 26th International Conference on Conceptual Modeling (ER 2007). Pages (181-197). LNCS 4801, Springer. Auckland, New Zealand. ISBN 9783540755623. November 2007 5. Mustafa Jarrar and Stijn Heymans: Unsatisfiability Reasoning In ORM Conceptual Schemes. In Current Trends in Database Technology - EDBT 2006: Proceeding of the IFIP-2.6 International Conference on Semantics of a Networked. Pages (517-534). LNCS 4254, Springer. Munich, Germany. ISBN: 3540467882. March 2006. 6. Mustafa Jarrar, Maria Keet, and Paolo Dongilli: Multilingual Verbalization Of ORM Conceptual Models And Axiomatized Ontologies. Technical eport. STARLab, Vrije Universiteit Brussel, Feb 2006. 7. Mustafa Jarrar: Modularization And Automatic Composition Of Object-Role Modeling (ORM) Schemes. OTM 2005 Workshops: Proceedings of the Object-Role Modeling (ORM'05). Pages (613- 625). LNCS 3762, Springer. Larnaca, Cyprus. ISBN: 3540297391. November 2005.

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