After introducing the basic principles behind the similarityinvariant smoothness measures for curves and surfaces, with references to the relevant literature, we discuss the ramifications of scale-invariance in various problems of image processing and analysis, and point out some unanswered questions.

In this paper, two similarity measures are proposed: one for the similarity between rough sets in the classical rough set theory based on indiscernibility relation and the other between rough sets in the extended rough set theory based on limited tolerance relation. The proposed measures can provide a useful way for measuring the degree of similarity between rough sets. Key-words: Rough set; In...

There has been much interest in uncovering protein-protein interactions and their underlying domain-domain interactions. Many experimental techniques have been developed, for example yeast-two-hybrid screening and tandem affinity purification. Since it is time consuming and expensive to perform exhaustive experimental screens, in silico methods are used for predicting interactions. However, all...

Similarity assessment plays a key role in lazy learning methods such as knearest neighbor or case-based reasoning. In this paper we will show how refinement graphs, that were originally introduced for inductive learning, can be employed to assess and reason about similarity. We will define and analyze two similarity measures, $S_{?}$ and $S_{?}$, based on refinement graphs. The \emph{anti-unifi...

Four methods have been presented to determine the semantic similarity of two GO terms based on the annotation statistics of their common ancestor terms (Resnik [1], Jiang [2], Lin [3] and Schlicker [4]). Wang [5] proposed a new method to measure the similarity based on the graph structure of GO. Each of these methods has its own advantages and weaknesses. GOSemSim package [6] is developed to co...

In this demonstration we will show a series of tools that support a methodology [1] for the design of complex similarity functions in the context of heterogenous XML systems.

Many applications such as document summarization, passage retrieval and question answering require a detailed analysis of semantic relations between terms within and across documents and sentences. Often one has a number of sentences or paragraphs and has to choose the candidate with the highest level of relevance for the topic or question. An additional requirement may be that the information ...

Predominantly in the faltering atmosphere, the precise value of some factors is difficult to measure. Though, it can be easily approximated by intuitionistic fuzzy linguistic term in the real-life world problem. To deal with such situations, in this paper two information measures based on trigonometric function for intuitionistic fuzzy sets, which are a generalized version of the fuzzy informat...