The notion of “similarity” as defined in this paper is essentially a generalization of the notion of equivalence. In the same vein, a fuzzy ordering is a generalization of the concept of ordering. For example, the relation x *y (x is much larger than y) is a fuzzy linear ordering in the set of real numbers. More concretely, a similarity relation, S, is a fuzzy relation which is reflexive, symme...

A graph property is a set of graphs closed under isomorphism. A property is hereditary if it is closed under taking induced subgraphs. Given a graph property X , we write Xn for the number of graphs in X with vertex set {1, 2, . . . , n} and following [1] we call Xn the speed of the property X . The paper [2] identifies a jump in the speed of hereditary graph properties to the Bell number Bn an...

With the gradual development of network, RDF graphs have become more and complex as scale data increases; how to perform effective query for massive is a hot topic continuous research. The traditional methods graph traversal produce great redundancy intermediate results, processing subgraph collection queries in stand-alone mode cannot efficient matching when amount extremely large. Moreover, q...

To obtain archaeological simulated maps, we need to compare dates of excavation data, represented by fuzzy numbers. Fuzzy Max Order (FMO) is a partial order relation on the set of the fuzzy numbers. But FMO is not able to compare two fuzzy numbers in some situations. In this paper, we propose a new method, Possibilistic Variation Order, extending FMO. We build new indices to order two fuzzy num...

In this paper, we present a fuzzy Markovian method for brain tissue segmentation from magnetic resonance images. Generally, there are three main brain tissues in a brain dataset: gray matter, white matter, and cerebrospinal fluid. However, due to the limited resolution of the acquisition system, many voxels may be composed of multiple tissue types (partial volume effects). The proposed method a...

Abstract -In this paper, the problem of H∞ filtering design is studied for nonlinear sampled-data systems using the Takagi-Sugeno (T-S) fuzzy model approach. Traditionally, the sufficient conditions for the existence of such H∞ filter are characterized in terms of the solution of a differential Hamilton-Jacobi inequality with jumps, which is equivalent to solving the partial differential inequa...

We look at the problem of revising fuzzy be­ lief bases, i.e., belief base revision in which both formulas in the base as well as revision­ input formulas can come attached with vary­ ing truth-degrees. Working within a very general framework for fuzzy logic which is able to capture certain types of uncertainty calculi as well as truth-functional fuzzy log­ ics, we show how the idea of rational...

This paper proposes a generation method of facial expressions using fuzzy measure and fuzzy integral for robotic heads. Human’s emotion state can be represented by a fuzzy measure which can effectively deal with ambiguity. Because facial expressions are usually ambiguous such that it is difficult to discern emotions and assign a sharp boundary to each emotion. In this method, users can adjust t...