Compound conditionals, Fréchet-Hoeffding bounds, and Frank t-norms

Nearly Frank T-norms and the Characterization of T-measures

We introduce nearly Frank t-norms as t-norms which are generated from Frank t-norms by means of a negation-preserving automorphism. We state basic properties of nearly Frank t-norms and we show their speci c role in the characterization of T -measures. 1 Basic facts about T -norms A t-norm (fuzzy conjunction) is a binary operation T : [0; 1]2 ! [0; 1] which is commutative, associative, nondecre...

Domination in the families of Frank and Hamacher t-norms

Domination is a relation between general operations defined on a poset. The old open problem is whether domination is transitive on the set of all t-norms. In this paper we contribute partially by inspection of domination in the family of Frank and Hamacher tnorms. We show that between two different t-norms from the same family, the domination occurs iff at least one of the t-norms involved is ...

Deontic norms, deontic reasoning, and deontic conditionals

Deontic reasoning is thinking about whether actions are forbidden or allowed, obligatory or not obligatory. It is proposed that social norms, imposing constraints on individual actions, constitute the fundamental concept for the system of these four deontic modalities, and that people reason from such norms flexibly according to deontic core principles. Two experiments are presented, one on deo...

Equitable Coloring Extends Chernoff-Hoeffding Bounds

Chernoff-Hoeffding Bounds for Markov Chains: Generalized and Simplified

We prove the first Chernoff-Hoeffding bounds for general (nonreversible) finite-state Markov chains based on the standard L1 (variation distance) mixing-time of the chain. Specifically, consider an ergodic Markov chain M and a weight functionf : [n] → [0, 1] on the state space [n] of M with mean μ , Ev←π[f(v)], where π is the stationary distribution of M . A t-step random walk (v1, . . . , vt) ...