Social stressor tasks induce adolescents' social distress as indexed by low-cost psychophysiological methods. Unknown is how to incorporate these methods within clinical assessments. Having assessors judge graphical depictions of psychophysiological data may facilitate detections of data patterns that may be difficult to identify using judgments about numerical depictions of psychophysiological...

When the first operation’s inverse axiom is deleted from ring, an algebraic structure, semiring, generated. Subsemiring one of subjects covered in semiring. The concepts fuzzy subsemiring, anti subsemiring and complement are introduced this paper. In addition, anti-subsemiring a wedge, or combination two more associated with non-empty subset semiring whose membership criteria defined by value z...

Kripke frames (and models) provide a suitable semantics for sub-classical logics; for example Intuitionistic Logic (of Brouwer and Heyting) axiomatizes the reflexive and transitive Kripke frames (with persistent satisfaction relations), and the Basic Logic (of Visser) axiomatizes transitive Kripke frames (with persistent satisfaction relations). Here, we investigate whether Kripke frames/models...

Chernoff information upper bounds the probability of error of the optimal Bayesian decision rule for 2-class classification problems. However, it turns out that in practice the Chernoff bound is hard to calculate or even approximate. In statistics, many usual distributions, such as Gaussians, Poissons or frequency histograms called multinomials, can be handled in the unified framework of expone...

We formalize reasoning about fuzzy belief and fuzzy common belief, especially incomparable beliefs, in multi-agent systems by using a logical system based on Fitting’s many-valued modal logic, where incomparable beliefs mean beliefs whose degrees are not totally ordered. Completeness and decidability results for the logic of fuzzy belief and common belief are established while implicitly exploi...

In this paper, we want to find out the determiningfactors of Chernoff information in distinguishing a set of Gaus-sian graphs. We find that Chernoff information of two Gaussiangraphs can be determined by the generalized eigenvalues of theircovariance matrices. We find that the unit generalized eigenvaluedoesn’t affect Chernoff information and its corresponding di-mension...

Goguen categories were introduced as a suitable categorical description of L-fuzzy relations, i.e., of relations taking values from an arbitrary complete Brouwerian lattice L instead of the unit interval [0, 1] of the real numbers. In this paper we want to study the algebraic structures derived from Goguen categories by replacing its second-order axiom by some weaker versions.

philosophers from one hand take the “al-vahed” axiom for granted, and on the other hand, they assume that the almighty to be of absolute power. now the question is whether: this is at odds with the “al- vahed” axiom? how can we accept at the same time the absolute power of the almighty and the “al-vahed” axiom? we should say here: majority of philosophers, mystics and kalam specialists have cla...

We consider the multiple hypothesis testing problem for symmetric quantum state discrimination between r given states σ1, . . . , σr. By splitting up the overall test into multiple binary tests in various ways we obtain a number of upper bounds on the optimal error probability in terms of the binary error probabilities. These upper bounds allow us to deduce various bounds on the asymptotic erro...

Information aggregation is one of the key issues in development of intelligent systems. Although fuzzy set theory provides a host of attractive aggregation operators for integrating the membership values representing uncertain information, the results do not always follow the modeled real phenomena. Researches on this area have shown that better results can be reached by using various aggregati...