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The category theory based model (8th GrC Model) has been proposed as the ldquofinalrdquo GrC Model. This paper is to discuss its specialization into the category of qualitative fuzzy sets. Here are the main points: 1) Let Col be the collection of real world fuzzy sets on U, where U is a crisp set. 2) Let V be the type I fuzzy sets of col. Namely, V, denoted by MF(U), is the set of all membership functions...
We propose a visualization scheme for the representation of the uncertainty and relations in reasoning using extended logic programming. This scheme has graphical layout and color utilization components borrowed from data mining, cartography, and general principles of graphic design. Even in simple logic programming examples the node count in reasoning grows quickly. Said growth contributes to a ldquolost...
Terrorist acts are intentional and therefore differ significantly from "dumb" random acts that are the subject of most risk analyses. There is significant epistemic (state of knowledge) uncertainty associated with such intentional acts, especially for the likelihood of specific attack scenarios. Also, many of the variables of concern are not numeric and should be treated as purely linguistic...
A framework for modeling, analyzing and synthesizing nuclear safeguards information with various uncertainties is proposed by using a newly developed belief rule-base inference methodology (RIMER). After a hierarchical analysis of States' nuclear activities on the basis of the International Atomic Energy Agency (IAEA) physical model, the multi-layer structure of the evaluation model for States' nuclear...
This paper presents a general inference engine based on interval type-2 fuzzy logic systems (IT2 FLS) to contrast statistical hypothesis on means. Fuzzy statistics is an useful approach which offers new answers for imprecise and uncertain statistical problems. In this way, we propose an extension of the Type-1 FLS reported by Figueroa and Soriano to an Interval type-2 FLS for involving uncertainty...
The conceptual formalisms supported by typical ontologies may be not sufficient for handling imprecise information commonly found in many application domains. Fuzzy ontologies are developed to overcome this problem. The implementation, inference and query of fuzzy ontologies gain more attention in recent years. This paper addresses fuzzy ontology implementation and query answering on databases. We...
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