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Dual Patterns for Mapping between two ontologies

B.L.Saranya

Post Graduate Student, Department of Computer Science

Pondicherry University, Pondicherry - 14. 

blsaranya@yahoo.in

Abstract

Ontology provides meaning to the largely disintegrated on web and it is an integral part of semantic web. Its basic operation is mapping ontologies which provide a common layer from which several ontologies can be accessed and hence can exchange information in a better way. But because of the unsatisfactory performance in mapping, some background knowledge is needed. Many single arrangement methods exist for communicating between ontologies. But these methods failed to perform simultaneous and multi arrangement techniques. To overcome these drawbacks, this work focuses on dual arrangement method for better and effective exchange of information between two ontologies.

Keywords

Semantic Web, Mapping Ontologies, Mapping Arrangement

1. Introduction

Semantic Web is a vision in which computers, software as well as humans can find, read, understand and use the data over the World Wide Web to accomplish useful goals. Ontology plays a significant role towards the realization of semantic web by describing semantics of information explicitly. According to a report by marketing research firm Gartner [1], Ontologies are identified as one of the leading IT technologies (ranking it third in its list of top 10 technologies). As lots of ontologies are developed by different people and organizations, the heterogeneity between different ontologies is inevitable. To overcome the heterogeneity and establish interoperability between agents or services, mapping between ontologies is necessary. 

Mapping Ontologies is defined as “Given two ontologies O1 and O2, mapping one ontology onto another means that for each entity (concept C, relation R, or instance I) in ontology O1, we try to find a corresponding entity, which has the same intended meaning in ontology O2. It can be done either manually or using semi-automated/automated tools. Fully or semi-automated mapping approaches have been examined by several research studies, e.g., analyzing linguistic information of elements in ontologies. Automatic ontology mapping is important to various practical applications such as the emerging Semantic Web, query processing across disparate sources, and many others.     

Arrangement or patterns can play an important role in the specification of ontology mappings. They are very useful in guiding the developer of ontology mapper to correctly construct ontology mappings. They can also be used as a guide for developers of ontology matching algorithms. These arrangement or patterns are exploited to overcome the unsatisfactory performance of ontology mappings. Many single arrangement methods exist in literature. But these arrangement methods or patterns are only one-to-one, non-simultaneous and are not used in ontology merging, agent communication, query answering and ontology mapping projects. To overcome these issues, dual arrangement methods are proposed. 

2. related work

Ondrej Svab [2] describes a mapping arrangement or pattern as a graph structure, where nodes are classes, properties or instances. Edges represent mappings, relations between elements (eg. domain and range of properties) or structural relations between classes (eg. subclasses or siblings). In this work three simple mapping arrangements or patterns are examined. In first mapping arrangement or pattern: The left-hand side (class A) is from ontology O1 and the right-hand side (class B and its subclass C) is from ontology O2. There is a mapping between A and B and between A and C. The second mapping arrangement or pattern is quite similar to the previous one, but child and a parent from each ontology are mapped. The third mapping arrangement or pattern consists of mappings between class A from O1 and two sibling classes C and D from O2. They are particularly interested in two types of ontology design patterns: naming conventions nd structural patterns. Naming conventions are related to naming classes, properties and/or instances. Structural patterns concern the modeling choices in using certain ontology entities and connecting them together.

Jos de Bruijn et al., [3] have provided a number of ontology mapping arrangement or patterns, as well as a Language independent ontology mapping language, based on these patterns. The mapping language and mapping patterns are mutually dependant. They structured the elements according to the four meta elements namely: name, problem, solution and consequences.

According to Fancois Scharffw [4] Mapping Arrangement or Patterns are templates that match the more usual mistakes between two ontologies. The use of predefined patterns considerably reduces the mapping designer’s task. They proposed the use of a pattern language to define them, a pattern library allowing storing and retrieving them efficiently. The Graphical User Interface allows the user to select entities from the ontologies and to apply a pattern on them. This interface uses some modules of the Ontology Editing and Browsing tool.

Ondrej Svab [5] considered three categories of mapping arrangement or patterns: content patterns, logical patterns and frequent errors. Content patterns use specific non-logical vocabulary and describe a recurring, often domainindependent state of affairs. Logical patterns, in turn, capture the typical ways of modeling problems which can be tackled in a specific ontological language. Frequent errors (though not usually denoted as patterns, they are clearly so) describe inadequate constructions that are often used by inexperienced modelers.

Ming Mao [6] proposes a new generic and scalable ontology mapping approach, it takes advantage of propagation theory, information retrieval technique and artificial intelligence model to solve ontology mapping problem. It utilizes both linguistic and structural information of ontologies, measures the similarity of different elements of ontologies in a vector space model, and integrates interactive activation network to deal with constraints. Most existing systems for ontology mapping combine various methods for achieving higher performance in terms of recall and precision. 
 

Ondrej Svab et al., [7] approach relies on Bayesian networks (BNs) as well-known formal technique that can capture interdependencies among random variables. A mapping arrangement or pattern is, essentially, a structure containing some (at least one) constructs from each of the two (or more) ontologies plus some (candidate) mapping among them. The simplest mapping arrangement only considers one concept from each of the two ontologies. A bit more complex mapping arrangement is one concept from first ontology maps with two or more concepts from second ontology simultaneously. Using ontologies in a dynamic environment, such as a Grid, to share some common concepts is still a challenge. It is difficult to keep a static mapping between ontologies.

Nelson et al., [8] have adopted the concept of Tuple Space and proposed a flexible approach for managing ontologies in a Grid. This approach simplifies the communication process and provides flexibility of participation of all participants.

3. MAPPING ONTOLOGIES

3.1 Need 

As the number of ontologies which are being publicly available and accessible on the web increases steadily, so does the need for applications to use them. A single ontology is no longer enough to support the tasks envisaged by a distributed environment like the semantic web. Multiple ontologies need to be accessed from several applications. Mapping could provide a common layer from which several ontologies could be accessed and hence could exchange information in semantically sound manners. To achieve interoperability between agents or services, mapping is needed.

3.2 Process

Mapping ontologies specifies how the concepts in the different ontologies are related in a logical sense. This means that original ontologies have not changed but the additional axioms describe the relationship between the concepts. Mapping process involves import of ontologies, similarity finding and mapping ontologies. Figure 1 depicts this process flow. 

O1

 

O2

Import 

Ontologies

 

Finding 

Similarities

Mapping

Ontologies

 
 
 
 
 
 
 
 

Figure 1. Ontology Mapping Process 

Import of ontologies: Ontologies can be specified in different languages, which indicate a need to convert them to a common format in order to be able to specify the mapping. 

Finding Similarities: Many methods use match operator to semi-automatically find similarities between schemas or ontologies. For any two source ontologies, the Match operator returns the similarities between the ontologies. We distinguish this phase in the mapping process only when the similarities are determined in an automatic fashion. If the mapping process is completely manual, this phase is skipped.

 

Mapping ontologies: After finding the potential similarity between the two ontologies, the ontologies are mapped. This is usually a manual process but can be done automatically. 

3.3 Categories 

Ontology mapping can be classified into the following three categories [9]: Mapping between an integrated global ontology and local ontologies, Mapping between local ontologies and Mapping on ontology merging and alignment. The first category of ontology mapping supports ontology integration by describing the relationship between an integrated global ontology and local ontologies. The second category enables interoperability for highly dynamic and distributed environments as mediation between distributed data in such environments. The third category is used as a part of ontology merging or alignment as an ontology reuse process. One of the crucial differences among the three ontology mapping categories is how mapping among ontologies is constructed and maintained. Each category of ontology mapping has different characteristics.  

3.4 Challenges 

Although a lot of functions and methods are available for tackling the problem of ontology mapping, there are still some new challenges for researchers and underline new directions for the future. Some of the challenges imposed by ontology mapping are discussed below: 

  • Scalability: Most of the implemented and evaluated ontology mapping tools suffer from handling large ontologies.
  • Speed/Automation/Accuracy tuning: Future directions should be towards a fine tuning of all parameters such as the overall performance of an ontology mapping tool to be leveraged.
  • Background knowledge: The extensive use of domain-related background knowledge in the ontology mapping process has positive effects on recall, but does not seem to scale well with large ontologies.
  • Ontology mapping visualization: The use of visualization techniques to graphically display data from ontology mapping results facilitates user understanding of the meaning and consequences of the ontology mapping.
 

Largeness, complexity, and heterogeneity of ontologies and their mapping results bring about a bundle of challenges which need to be addressed in future research. 

3.5 Usage 

The two most important uses of mappings required for information integration: mappings between ontologies and the information they describe and mapping between different ontologies used in a system are specified [10]. 

Connection to Information Sources: The first and most obvious application of mappings is to relate the ontologies to the actual content of an information source. Ontologies may relate to the database scheme, but also to single terms used in the database. Regardless of this distinction, we can observe different general approaches used to establish a connection between ontologies and information sources.  

Structure Resemblance: A straightforward approach for connecting the ontology with the database scheme is to simply produce a one-to-one copy of the structure of the database and encode it in a language that makes automated reasoning possible. The integration is then performed on the copy of the model and can easily be tracked back to the original data.

3.6 Mapping Arrangements or Patterns 

Mapping Arrangements or Patterns is a template that is used to define the data structure for mapping two ontologies. The data structure differs according to the pattern. Each pattern has its own functionalities. Mapping Arrangements or Patterns can play an important role in the specification of ontology mapping, because they have the potential to make mappings more concise, better understandable and reduce the number of errors.   

3.7 Drawbacks of Single Arrangement Methods 

  • Only one-to-one mappings are present
  • Mapping Arrangements are non-simultaneous
  • Not used for agent communication, query answering and ontology mapping projects
 
 

4. PROPOSED WORK

 

4.1 Mapping Arrangements or Patterns

       Mapping arrangements or patterns reflect the internal structure of ontologies as well as mappings between elements of typically two ontologies. Mapping arrangements or patterns can be seen as a template for mappings which occur very often. It captures comprehensive substructures of the ontologies.

4.2 Dual Arrangement for Mapping Ontologies

      Dual arrangement mapping methods are Concept-Attribute to Concept-Attribute, Concept-Relation to Concept-Relation, Concept-Value to Concept-Value, Attribute-Relation to Attribute-Relation, Attribute-Value to Attribute-value and Relation-Value to Relation-Value.

      The pictorial representation of mapping Concept-Attribute to Concept-Attribute is shown in Figure 2. In this mapping arrangement, concept from ontology 1 is mapped to concept in ontology 2 and at the same time attribute from ontology 1 is mapped to attribute in ontology 2.  

Ontology 1

 

Concept

 

Attribute

Ontology 2

 

Concept

 

Attribute

 
 
 
 
 
 
 
 
 

Figure 2. Concept-Attribute to Concept-Attribute Mapping Arrangement

The pictorial representation of mapping Concept-Relation to Concept-Relation is shown in Figure 3. In this mapping arrangement, concept from ontology 1 is mapped to concept in ontology 2 and at the same time relation from ontology 1 is mapped to relation in ontology 2.  
 

Ontology 2 

 

Concept

 

Relation

Ontology 1 

 

Concept

 

Relation

 

 
 
 
 
 
 
 
 
 
 
 

Figure 3. Concept-Relation to Concept-Relation Mapping Arrangement 

The pictorial representation of mapping Concept-Value to Concept-Value is shown in Figure 4. In this mapping arrangement, concept from ontology 1 is mapped to concept in ontology 2 and at the same time value from ontology 1 is mapped to value in ontology 2.  

Ontology 2 

 

Concept

 

Value

Ontology 1 

 

Concept

 

Value

 

 
 
 
 
 
 
 

                         

Figure 4. Concept-Value to Concept-Value Pattern Mapping Arrangement 

The pictorial representation of mapping Attribute-Relation to Attribute-Relation is shown in Figure 5. In this mapping arrangement, attribute from ontology 1 is mapped to attribute in ontology 2 and at the same time relation from ontology 1 is mapped to relation in ontology 2.  

Ontology 2 

 

Attribute

 

Relation

Ontology 1 

 

Attribute

 

Relation

 

 
 
 
 
 
 
 
 
 

Figure 5. Attribute-Relation to Attribute-Relation Mapping Arrangement 

The pictorial representation of mapping Attribute-Value to Attribute-Value is shown in Figure 6. In this mapping arrangement, attribute from ontology 1 is mapped to attribute in ontology 2 and at the same time value from ontology 1 is mapped to value in ontology 2.  

Ontology 2 

 

Attribute

 

Value

Ontology 1 

 

Attribute

 

Value

 

 
 
 
 
 
 
 
 
 

Figure 6. Attribute-Value to Attribute-Value Mapping Arrangement 

The pictorial representation of mapping Relation-Value to Relation-Value is shown in Figure 7. In this mapping arrangement, relation from ontology 1 is mapped to relation in ontology 2 and at the same time value from ontology 1 is mapped to value in ontology 2.  

Ontology 2 

 

Relation

Value

Ontology 1 

 

Relation

Value

 

 
 
 
 
 
 
 
 
 

Figure 7. Relation-Value to Relation-Value Mapping Arrangement 
 

4.3 Design Component 

Dual arrangement for mapping two ontologies is a technique which maps two entities from one ontology to two entities in another ontology at the same time. This process encompasses Ontology Repository, Input Entity, Similarity Selector, Similarity Checker, Dual Arrangement Assembler and Output Entity. Figure 8 shows the process flow of dual arrangement for mapping two ontologies. 

Ontology Repository: 

Repository is a collection of resources that can be accessed to retrieve information. They often consist of several databases tied together by a common search engine. An ontology repository is a facility where ontologies and related information artifacts can be stored, retrieved and managed.  
 
 

Similarity Selector

Entity{i1<=>j1}, Entity{i1<=>j2},…. Entity{i1<=>jm}

Entity{i2<=>j1}, Entity{i2<=>j2},…. Entity{i2<=>jm}

Entity{i3 <=>j1}, Entity{i3<=>j2},…. Entity{i3<=>jm}

.

.

.

Entity{in<=>j1}, Entity{in<=>j2},…. Entity{in<=>jm} 
 

 

Similarity Checker

Sim1=> Entity{i1<=>j1},

Sim2=> Entity{i2<=>j1},

Sim3=> Entity{i3<=>j2},

Sim4=> Entity{in<=>jm},

.

.

Simk=>   … … … … …

 

 

Ontology 

R

E

P

O

S

I

T

O

R

Y

 

 
 

Input

i

 

 
 

Input

j

Entity i1

Entity i2

Entity i3

.

.

.

Entity in 
 

 

Entity j1

Entity j2

Entity j3

.

.

.

Entity jm 
 

 

Dual Arrangement Assembler

 
 

Output

k

Entity k1<=>Entity {i1j1)}

      

  

            Entity {i2 j1}

        .

.                                        .

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Figure 8. Design Component of dual arrangement for mapping two ontologies 
 

Input Entity: 

Input entities are retrieved from the ontology repository and they consist of entities like concept, relation, attribute, values, etc. These entities are given as input to the similarity selector. 
 
 
 

Similarity Selector:  

Similarity Selector component finds out the similarity that exists between the given input entities. Given two ontologies O1 and O2, a similarity measure is defined as a real-valued function:

Similarity: (Ei) × (Ej) → [0, 1]

Where Ei∈ {Ci, Ri, Ai, Vi} ∈ O1, Ej∈ {Cj, Rj, Aj, Vj} ∈ O2 and E1 and E2 are of the same kind. Entities C, R, A, V denote concept, relation, attribute and value respectively. The value of similarity indicates the probability of establishing mapping between E1 and E2

Similarity Checker:   

Similarity Checker component checks the pattern mapping similarity which is present in the input entities of similarity selector. It filters out the irrelevant combination of entities available in the similarity selector.

Dual Arrangement Assembler:

After the similarity checker process is over, dual arrangement assembler component assembles the relevant combination of patterns in such a way that two mapping entities of patterns are chosen from both ontologies.

 

4.4 Representation

The source and target ontologies are given in XML format. Therefore, output (Mapping file) is also in XML format. Mapping arrangements are expressed using JAVA. For each mapping pattern a class is created with naming convention property and with appropriate methods. These classes are kept in a package called Mapped Patterns. Interested users can just import the package and make use of it, since all the requirements are already available in method format.

 

4.5 Evaluation

It is important to have means to evaluate the quality of mapping, and, consequently the fitness of different methods and tools with respect to different domains and settings. Nowadays, the central approach to ontology mapping evaluation is based on the notion of reference alignment (‘gold standard’), defined a priori, to which the results obtained by the matching systems are compared. This typically yields measures borrowed from the discipline of Information Retrieval, such as precision (the proportion of mappings returned by the matching system that are also present in the reference mapping) and recall (the proportion of mappings present in the reference mapping that are also returned by the matching system).The correspondences in both the reference and experimental alignments are most often expressed as simple concept-concept (or relation-relation) pairs, interpreted as logical equivalence. Sometimes, alignments interpreted as logical subsumption (analogously to the same notion as omnipresent in ontology design), and/or with a non-Boolean value of validity are also considered. However, we might even be interested in more complex alignment structures (patterns), which could reveal interesting details about the relationship of the two ontologies. 
 
 
 

5. Conclusion and Future Enhancement 

This paper described the possible dual mapping arrangements to be considered at various levels while doing the process of mapping two ontologies. The mapping arrangements identified helps to make the classification of ontology mapping simpler and meaningful. They may be applied on quite different ontologies depending on the requirement or need of the application on hand. In this direction, mapped patterns may be exploited for ontology integration / merging. In future, we have planned to extend the pattern mapping from dual arrangement to n-arrangement. We have also planned to implement the system and conduct experiment on it to evaluate whether it operates according to our expectation. More functionality is expected to be incorporated in the system as follows. User’s queries have to be answered by referring the resultant mapping file. The system may also be capable of managing changes, sharing ontologies, editing and browsing the ontologies. 

6. References 

  1. Jon Corson, Rikert, “Ontologies: What, Why and How?,” Mann Library, Metadata Working Group, April 2003.
  2. Ondrej Svab, “Exploiting patterns in Ontology Mapping,” Proceedings of the 6th International Semantic Web Conference  and 2nd Asian Semantic Web Conference ISWCASWC2007, Busan, South Korea, vol. 4825, Springer, pp. 956-960, 2007.
  3. Jos de Bruijn, douglas foxvog, Kerstin Zimmerman, “D4.3.1 Ontology Mediation Patterns Library VI,” Project SEKT/2004/D4.3.1/v1.0 SEKT EU-IST-506826, 2003.
  4. Fancois Scharffe, “OMWG D7.1: Requirements for Mapping and Merging Tool,” DERI OMWG Woking Draft 6, December 2004.
  5. Ondrej Svab, Vojtech Svatek and Heiner Stuckenschmidt2, “A Study in Empirical and ‘Casuistic’ Analysis of Ontology Mapping Results,” Lecture Notes in Computer Science, DOI:10.1007/978-3-540-72667-8_46, vol. 4519/2007, pp. 655-669, 2007. 
  6. Ming Mao, ”Ontology Mapping: An Information Retrieval and Interactive Activation Network Based  Approach”, K. Aberer et al. (Eds.): ISWC/ASWC, LNCS 4825, pp. 931–935, Springer-Verlag Berlin Heidelberg 2007.
  7. Ondrej Svab, Vojtech Svatek, ”Ontology Mapping enhanced using Bayesian Networks”, This paper is a significantly extended version of a paper presented as poster at the Ontology Matching workshop (International Workshop on Ontology Matching, OM-2006 at ISWC-2006 held in Athens, Georgia, USA).
  8. Nelson C.N. Chu, Quang M. Trinh, Kwn E. Barker and Reda S. Alhajj, “A Dynamic Ontology Mapping Architecture for a Grid Database System”, IEEE Fourth International Conference on Semantics,  Knowledge and Grid, p : 343 – 346, 2008.
  9. Sabou, M., d’Aquin, M., Motta, E, “Using the Semantic Web as Background Knowledge for Ontology Mapping,” In: Workshop on Ontology Matching at ISWC-2006.
  10. Namyoun Choi, Yeol Song, H. Yoil Han, “A Survey on Ontology Mapping,” Sigmod Record, vol. 35, no. 3, 2006.
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