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On a fuzzy querying and data mining interface

Janusz Kacprzyk, Sławomir Zadrożny (2000)

Kybernetika

In the paper an interface is proposed that combines flexible (fuzzy) querying and data mining functionality. The point of departure is the fuzzy querying interface designed and implemented previously by the present authors. It makes it possible to formulate and execute, against a traditional (crisp) database, queries containing imprecisely specified conditions. Here we discuss possibilities to extend it with some data mining features. More specifically, linguistic summarization of data (databases),...

On contrast intensification operators and fuzzy equality relations.

Pedro J. Burillo López, Ramón Fuentes-González, León González Sotos, Angel Marín (2000)

Mathware and Soft Computing

The class of contrast intensification operators is formally defined and it's lattice structure studied. The effect of these operators in the referential classifications derived from special kinds of fuzzy relations is also determined. Results and examples are presented providing contrast intensification operators which keep quasi-uniformity structures generated by fuzzy relations while diminishing the fuzziness or the entropy of the relations.

On defining multiple-valued logics for knowledge-based systems communication.

José Antonio Reyes, Josep Puyol-Gruart, Francesc Esteva (2000)

Mathware and Soft Computing

Multiple-valued logics are useful for dealing with uncertainty and imprecision in Knowledge-Based Systems. Different problems can require different logics. Then we need mechanisms to translate the information exchanged between two problems with different logics. In this paper, we introduce the logical foundations of such logics and the communication mechanisms that preserve some deductive properties. We also describe a tool to assist users in the declaration of logics and their communication mechanisms....

On MPT-implication functions for fuzzy logic.

Enric Trillas, Claudi Alsina, Ana Pradera (2004)

RACSAM

This paper deals with numerical functions J : [0,1] x [0,1] → [0,1] able to functionally express operators →: [0,1]X x [0,1]Y → [0,1]XxY defined as (μ → σ)(x,y) = J(μ(x),σ(y)), and verifying either Modus Ponens or Modus Tollens, or both. The concrete goal of the paper is to search for continuous t-norms T and strong-negation functions N for which it is either T(a, J(a,b)) ≤ b (Modus Ponens) or T(N(b), J(a,b)) ≤ N(a) (Modus Tollens), or both, for all a,b in [0,1] and a given J. Functions J are taken...

On some properties of α -planes of type-2 fuzzy sets

Zdenko Takáč (2013)

Kybernetika

Some basic properties of α -planes of type-2 fuzzy sets are investigated and discussed in connection with the similar properties of α -cuts of type-1 fuzzy sets. It is known, that standard intersection and standard union of type-1 fuzzy sets (it means intersection and union under minimum t-norm and maximum t-conorm, respectively) are the only cutworthy operations for type-1 fuzzy sets. Recently, a similar property was declared to be true also for α -planes of type-2 fuzzy sets in a few papers. Thus,...

On the comparison of some fuzzy clustering methods for privacy preserving data mining: Towards the development of specific information loss measures

Vicenç Torra, Yasunori Endo, Sadaaki Miyamoto (2009)

Kybernetika

Policy makers and researchers require raw data collected from agencies and companies for their analysis. Nevertheless, any transmission of data to third parties should satisfy some privacy requirements in order to avoid the disclosure of sensitive information. The areas of privacy preserving data mining and statistical disclosure control develop mechanisms for ensuring data privacy. Masking methods are one of such mechanisms. With them, third parties can do computations with a limited risk of disclosure....

OWA operators for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making

Zdenko Takáč (2016)

Kybernetika

A new concept in fuzzy sets theory, namely that of gradual element, was introduced recently. It is known that the set of gradual real numbers is not ordered linearly. We restrict our attention to a discrete case and propose a class of linear orders for discrete gradual real numbers. Then, using idea of the so-called admissible order of intervals, we present a class of linear orders for discrete gradual intervals. Once we have the linear orders it is possible to define OWA operator for discrete gradual...

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