The pattern recognition literature is replete with the use of principal component analysis in the interpretation and analysis of data. However, in the specific case of classification, especially of biomedical patterns, this pre-processing method, which transforms possibly correlated features into a new set of uncorrelated variables, must be used with caution since a principal component, which m...

We present a logic, called fuzzy attribute logic, for reasoning about formulas describing particular attribute dependencies. The formulas are of a form A ⇒ B where A and B are collections of attributes. Our formulas can be interpreted in two ways. First, in data tables with entries containing degrees to which objects (table rows) have attributes (table columns). Second, in database tables where...

Most fuzzy systems including fuzzy decision support and fuzzy control systems provide out­ puts in the form of fuzzy sets that represent the inferred conclusions. Linguistic interpretation of such outputs often involves the use of linguistic approximation that assigns a linguistic label to a fuzzy set based on the predefined primary terms, linguistic modifiers and linguistic connectives. More g...

Discourse connectives enable discourse coherence relations to be studies empirically. This paper presents two experiments on the semantic similarity of discourse connectives. Subjects are found to agree significantly on the similarity of pairs of connectives, and their similarity judgements are related to the ability of the connectives to be used to paraphrase each other. Subjects’ similarity j...

Implicit discourse connectives and relations are distributed more widely in Chinese texts, when translating into English, such connectives are usually translated explicitly. Towards ChineseEnglish MT, in this paper we describe cross-lingual annotation and alignment of discourse connectives in a parallel corpus, describing related surveys and findings. We then conduct some evaluation experiments...

Abstract Connectives such as Tonk have posed a significant challenge to the inferentialist. It has been recently argued (Button 2016; Button and Walsh 2018) that classical semanticist faces an analogous problem due definability of “nasty connectives” under non-standard interpretations propositional vocabulary. In this paper, we defend from alleged problem.

A nalog circuit implementations of fuzzy logic are characterized by performing logical connectives of analog signals. They can be considered as generalization of digital circuits to a range of logical values, thus forming a special class of analog circuits. The idea of this work is to exploit this relationship for testing. For fault modeling the behavior of faulty fuzzy gates is investigated th...

The lattice Lu of upper semicontinuous convex normal functions with convolution ordering arises in studies of type-2 fuzzy sets. In 2002, Kawaguchi and Miyakoshi [Extended t-norms as logical connectives of fuzzy truth values, Multiple-Valued Logic 8(1) (2002) 53–69] showed that this lattice is a complete Heyting algebra. Later, Harding et al. [Lattices of convex, normal functions, Fuzzy Sets an...

This paper presents a new abstract framework to deal in a uniform way with the increasing variety of fuzzy logics studied in the literature. By means of notions and techniques from Abstract Algebraic Logic, we perform a study of non-classical logics based on the kind of generalized implication connectives they possess. It yields the new hierarchy of implicational logics. In this framework the n...