Querying a Geographic Database using an Ontology-Based Methodology

Characterizations of fuzzy implications satisfying the Boolean-like law $y\leq I(x,y)$

Renata ViegasValeria Soares

Anderson CruzBenjamín BedregalRegivan Santiago

This work presents a mechanism that allows different community users access the same geographic database without knowing its particular internal structure. We use geographic ontologies to support a common and shared understanding of a specific domain: the coral reefs. Using these ontologies' descriptions that represent the knowledge of the different communities, mechanisms are created to handle with such different concepts. We use equivalent classes mapping, and a semantic layer that interacts with the ontologies and the geographic database, and that gives to the user the answers about his/her queries, independently of the used terms. Properties valid on the classical theory (Boolean laws) have been extended to fuzzy set theory and so-called Boolean-like laws. The fact that they are not always valid in any standard fuzzy set theory induced a wide investigation. In this paper we show the sufficient and necessary conditions that the Boolean-like law $yleq I(x,y)$ holds in fuzzy logic. We focus the investigation on the following classes of fuzzy implications: (S,N)-, R-, QL-, D-, (N,T)- and $h$-implications.

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