This third and last part of a series of position papers on triangular norms (for Parts I and II see [25, 26]) presents the representation of continuous Archimedean t-norms by means of additive generators, and the representation of continuous t-norms by means of ordinal sums with Archimedean summands, both with full proofs. Finally some consequences of these representation theorems in the contex...

Using a sample of entering college freshmen (N = 311), the purposes of this study were to examine 1). whether perceived norms for college student alcohol use and problems differed by gender and level of intended Greek involvement (Greek intent); 2). associations between perceived norms, Greek intent, and alcohol use and problems; and 3). whether relations between perceived norms, Greek intent, ...

This paper studies four families of polyhedral norms parametrized by a single parameter. The first two families consist of the CVaR norm (which is equivalent to the D-norm, or the largest-k norm) and its dual norm, while the second two families consist of the convex combination of the 1and ∞-norms, referred to as the deltoidal norm, and its dual norm. These families contain the 1and ∞-norms as ...

Gigerenzer has argued that it may be inappropriate to characterize some of the biases identi®ed by Kahneman and Tversky as aerrorso or afallacies,o for three reasons: (a) according to frequentists, no norms are appropriate for single-case judgments because single-case probabilities are meaningless; (b) even if single-case probabilities make sense, they need not be governed by statistical norms ...

Temptation and restraint have long been associated with problematic drinking. Among college students, social norms are one of the strongest predictors of problematic drinking. To date, no studies have examined the association between temptation and restraint and perceived descriptive norms on drinking and alcohol-related problems among college students. The purpose of this study was to examine ...

“Social norms” is a term widely used in different areas of research like sociology, philosophy or multiagent systems. However, there is still not a clear definition of what social norms are and the types of problems they solve. This work presents a general classification and distinction of norms from a game theoretical perspective. The types of norms treated in this work are those norms created...

We show that for any unitarily invariant norm k k on M n (the space of n-by-n complex matrices) where denotes the Hadamard (entrywise) product. These results are a consequence of an inequality for absolute norms on C n kx yk 2 kx xk ky yk for all x; y 2 C n : (2) We also characterize the norms on C n that satisfy (2), characterize the unitary similarity invariant norms on M n that satisfy (1), ...

We prove comparison theorems for norms of iteration matrices in splittings of matrices in the setting of proper cones in a finite dimensional real space by considering cone linear absolute norms and cone max norms. Subject to mild additional hypotheses, we show that these comparison theorems can hold only for such norms within the class of cone absolute norms. Finally, in a Banach algebra setti...

Two studies tested the conditions under which an environment (e.g., library, restaurant) raises the relevance of environment-specific social norms (e.g., being quiet, using table manners). As hypothesized, the relevance of such norms is raised when environments are goal relevant ("I am going there later") and when they are humanized with people or the remnants of their presence (e.g., a glass o...