|
For information on the European Conference on Knowledge Management, click here
For information on the International Conference on Intellectual Capital, Knowledge Management and Organisational Learning, click here
Downloadable documents on this site require Adobe Acrobat Reader (free download here)
| |
|
Volume 5 Issue 4
Barcelona 2007
Knowledge Maps and Mathematical Modelling
Tomas Subrt and Helena Brozova
University of Life Sciences, Prague, Czech Republic
|
|
|
|
The aim of our paper is to explain a mathematical model as a special case of symbolic knowledge map. Each knowledge mapping is a visualization of knowledge for the purpose of its eliciting, sharing and expanding. Each knowledge map, as a special type of reality model simplifies the visualisation of reality.
Similarly to the typology of models based on the model form, knowledge maps can be divided into two main groups: (I) Analogical maps, where the analogy between real objects and symbols, plus their spatial relationships and behaviour are crucial for the map understanding and (II) Symbolic maps emphasizing the meaning of symbols, usually mathematical or verbal. This kind of map generally doesn’t insist on the symbol position. Elements of these maps are rather abstract (terms, expressions) and relations between them are expressed using mathematical formulas or verbal sentences or phrases.
Another typology of knowledge map is based on the character of judgment or solution of the (successfully) solved problem: (I) Descriptive maps describe or simulate the real situation as precisely as possible. Weak descriptive maps describe the real situations using different kinds of symbols and arcs connecting them. Graph theory models are typical tools for building this kind of map. Not only objects, but symbols and texts are important for strong descriptive knowledge maps. It includes more than text, such as symbols, legends and other visual objects. Thus to be a strong descriptive knowledge map the item must use spatial relationships to elicit, share and codify knowledge. (II) Normative maps, relating to a typical standard or norm, to optimal solution, or to the best decision. Like the normative operations research models, the normative knowledge maps show the normative solution, or help to find the best, desirable or advisable solution.
Keywords:
knowledge map, knowledge map categorization, mathematical model, model construction, algorithm, model solution
Download FULL PAPER
Back to Contents
|
|
