Abstract The fuzzy transform setting (F-transform) is proposed as a tool for representation and approximation of type-1 and type-2 fuzzy numbers; the inverse F-transform on appropriate fuzzy partition of the membership interval [0,1] is used to characterize spaces of fuzzy numbers in such a way that arithmetic operations are de…ned and expressed in terms of the F-transform of the results. A typ...

Knowledge acquisition is a key phase in construction of expert systems. This process is very much dependent on the nature of the domain knowledge. In particular, knowledge acquisition is a tedious task when modeling domains with tacit knowledge. Despite fuzzy logic has been used for knowledge acquisition in such domains, a large portion of the process is manually operated. This paper presents a...

In last years, a variety of papers on fuzzy sets and other fuzzy topics was concerned with set-algebraic operations for and properties of fuzzy sets. However, only few remarks are devoted to fuzzy cardinals. In classical set theory the cardinality of a set is a measure of its size or "power". In the fuzzy case one has to differentiate: there are measures of fuzziness and measures of power. Here...

We present a system capable of modeling human newspaper readers. It is based on the extraction of reported speech, which is subsequently converted into a fuzzy theory-based representation of single statements. A domain analysis then assigns statements to topics. A number of fuzzy set operators, including fuzzy belief revision, are applied to model different belief strategies. At the end, our sy...

This paper is a study of fuzzy type theory (FTT) with partial functions. Out of several possibilities we decided tointroduce a special value ”∗” that represents ”undefined”. In the interpretation of FTT, this value lays outside of thecorresponding domain. In the syntax it can be naturally represented by the description operator acting on the empty(fuzzy) set, because choosing an element from it...

In this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the max-product composition is studied. Since its feasible domain is non-convex, traditional linear programming methods cannot be applied to solve it. We study this problem and capture some special characteristics of its feasible domain and optimal s...

This paper is about mathematical foundational aspects of fuzzy theory for engineers who wish to take a serious look at fuzzy theory for significant applications. As a tool for modeling and reasoning, fuzzy theory has its own domain of applicability. We provide firm foundations for implementing fuzzy concepts and fuzzy rules, specify the domains where fuzzy theory is appropriate, show firm conne...

This work introduces an OWL-based upper ontology, called OWL-FC (Ontology Web Language for Fuzzy Control), capable to support a semantic definition of Fuzzy Control. It focuses on the fuzzy rules representation by providing domain independent ontology, supporting interoperability and favoring domain ontologies re-usability. The main contribution is that OWL-FC exploits Fuzzy Logic in OWL to mod...

Industrial forecasting is a top-echelon research domain, which has over the past several years experienced highly provocative research discussions. The scope of this research domain continues to expand due to the continuous knowledge ignition motivated by scholars in the area. So, more intelligent and intellectual contributions on current research issues in the accident domain will potentially ...

DEFINITION 1.1. A fuzzy variable is characterized by a triple (X, U, R (X;u)). in which X is the name of the variable; U is a universe of discourse (finite or infinite set); u is a generic name for the elements of U; and R(X;u) is a fuzzy subset of U which represents a fuzzy restriction on the values of u imposed by X. [As in the case of nonfuzzy variables, R(X;u) will usually be abbreviated to...