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Web services are currently the main methodology for implementation of services oriented architectures (SOAs). SOAs enable organizations to expose their existing (and often specialized) applications to other organizations for deploying them in various scenarios. However, using such services brings to the front line the problem of trust, especially in business environments. This paper therefore focuses on existing trust methodologies for trust management in computerized environments and analyses their strong and weak points. On the basis of our research we introduce a new formal methodology, called qualitative algebra, for which we demonstrate how it can be used in SOAs. Further, we address also those issues that will have to be resolved by future research in line with expected trends in this area.