We d escribe new methods for the e s t imation of the b o u nds of the coeecients of proper divisors of integer polynomials in one v ariable. There exist classes of poly-nomials for which our estimates are better than those obtained using t he polynomial measure or the 2-weighted norm.

As a natural generalization of a measure space, Butnariu and Klement introduced T-tribes of fuzzy sets with T-measures. They gave a complete characterization of T-measures for a Frank triangular norm T. Here we characterize T-measures with respect to non-Frank strict triangular norms. We show the speciic roles of Frank triangular norms and a newly introduced family, nearly Frank triangular norm...

This paper investigates the use of fuzzy logic mechanisms coming from the database community, namely graded inclusions, to model the information retrieval process. In this framework, documents and queries are represented by fuzzy sets, which are paired with operations like fuzzy implications and T-norms. Through different experiments, it is shown that only some among the wide range of fuzzy ope...

One kind of prosodic structure that apparently underlies both music and some examples of speech production is meter. Yet detailed measurements of the timing of both music and speech show that the nested periodicities that deene metrical structure can be quite noisy in time. What kind of system could produce or perceive such variable metrical timing patterns? And what would it take to be able to...

Finding strongly standard complete axiomatizations for t-norm based fuzzy logics (i.e. complete for deductions with infinite sets of premises w.r.t. semantics on the real unit interval [0, 1]) is still an open problem in general, even though results are already available for some particular cases like some infinitary logics based on a continuous t-norm or certain expansions of Monoidal t-norm b...

Case-based reasoning is a method intended to develop knowledge based systems by imitating the behavior of human experts. Compared to classical rule-based reasoning, case-based reasoning attempts to solve new problems by using previous cases from a case base and adapting the solution of a similar problem according to the parameters of the new situation. In case-based systems, the quality of the ...

This chapter presents a new approach for solving the paradoxical Blackman’s association problem. It utilizes a new class of fusion rules based on fuzzy T-conorm/T-norm operators together with Dezert-Smarandache theory and the relative variations of generalized pignistic probabilities measure of correct associations defined from a partial ordering function of hyper-power set. The ability of this...

The social norms approach predicts that campaign messages providing true normative information about widely misperceived health behaviors will reduce the gap between distorted perceptions versus actual practices and consequently reduce behaviors based on exaggerated norms. Formative evaluation of messages designed to effectively convey true norms informed by social judgment theory (SJT) should ...