Interpretation of outputs of fuzzy systems 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 formally linguistic approximation can be considered in the terms of retranslation rules that correspond to the translation rules in explicitation in computing with...

We show a complete axiomatization of unary connectives interpreted by monotone and superdiagonal truth functions, so-called truth-depressing hedges. These connectives formalize linguistic hedges like “slightly true” and “more or less”. We follow ideas of [11] and show that BLvt-logic can be enriched by a unary connective for which we can establish strong completeness with respect to the desired...

This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.

In this paper some algebraic structures for linguistic fuzzy models are defined for the first time. By definition linguistic fuzzy norm, stability of these systems can be considered. Two methods (normed-based & graphical-based) for stability analysis of linguist fuzzy systems will be presented. At the follow a new simple method for linguistic fuzzy numbers calculations is defined. At the end tw...

We present a parallel corpus study on the expression of temporal construction ‘not…until’ in sample European languages. use data from Europarl and create semantic maps by multidimensional scaling, order to analyze cross-linguistic language-internal variation. This paper builds formal typological work, extending it including conditional constructions, as well connectives type long as. In an inve...

extended abstract 1. introduction the diversity of impersonal constructions and the different approaches used in studying them have caused different and sometimes contradictory positions about their classification and the explanation of grammatical and semantic roles of their components. this article reveals the necessity of studying them with a new approach which pursues a common basis coverin...

In this paper we introduce an algebra whose ground set is a denumerable set of linguistic truth-values . On this set we define some appropriate operators corresponding to each logical connective of a given propositional language. This algebra will play a role of semantics for the given propositional logic. We investigate the properties of this algebra and the related operators and show that it ...