This paper presents an approach to similarity based approximate reasoning that elucidates the connection between similarity and existing approaches to inference in approximate reasoning methodology. A set of axioms is proposed to compute a reasonable measure of similarity between two fuzzy sets. Such a measure of similarity is then used at different stages to derive a conclusion in approximate ...

Like other kinds of information, types of objects in the real world are often found to be ®lled with uncertainty and/or partial truth. It may be due to either the vague nature of a type itself or to incomplete information in the process determining it even if the type is crisp, i.e., clearly de®ned. This paper proposes a framework to deal with uncertainty and/or partial truth in automated reaso...

This paper focuses on the robustness problem of full implication triple implication inference method for fuzzy reasoning. First of all, based on strong regular implication, the weighted logic metric for measuring distance between two fuzzy sets is proposed. Besides, under this metric, some robustness results of the triple implication method are obtained, which demonstrates that the triple impli...

While knowledge representation languages developed in the context of the Semantic Web build mainly on crisp knowledge, fuzzy reasoning seems to be needed for many applications, e.g. for retrieval of images or other resources. However, techniques for fuzzy reasoning need to scale to large A-Boxes for practical applications. As a first step towards clarifying whether fuzzy reasoning techniques ca...

with conventional expert systems, it is clear that 1) 2) 3) AARS can reduce the size of the rule base; AARS uses linguistic variables rather than quantitative variables; AARS increases the system's flexibility. In future research, we expect to 1) associate observation P,' and rule R , with certainty factors CF, and CF, and derive a certainty factor for consequent experiment with other forms of ...

Geospacial Reasoning’ is spacial reasoning including geographic data. This is an extremely board area. In this deliverable we presented our approaches to cover enough aspects from this area such that it is useful for Semantic Web applications. An important building block is a hierarchy of graphs which combines very low level coordinate based computations with abstract symbolic reasoning. Anothe...

Many health and safety problems, including war and terrorism, are by-products of how people reason about risk. I describe a new approach to reasoning about risk that implements a modern dual-process model of memory called fuzzytrace theory. This approach posits encoding of both verbatim and gist representations, with reliance on the latter whenever possible; dependence of reasoning on retrieval...

We consider function approximation by fuzzy systems. Fuzzy systems are typically used for approximating deterministic functions, in which the stochastic uncertainty is ignored. We propose probabilistic fuzzy systems in which the probabilistic nature of uncertainty is taken into account. Furthermore, these systems take also fuzzy uncertainty into account by their fuzzy partitioning of input and ...