We analyze a model of communication with an extreme conflict of interest in which deceit is detectable with positive probability. The sender observes (possibly imprecise) information about his type, and can send any message to the receiver at no cost. If he lies---either by claiming more precise information or a false type---his message ends up incoherent with positive probability. In any infor...

Envelopment Analysis (DEA) is a very eective method to evaluate the relative eciency of decision-making units (DMUs). DEA models divided all DMUs in two categories: ecient and inecientDMUs, and don't able to discriminant between ecient DMUs. On the other hand, the observedvalues of the input and output data in real-life problems are sometimes imprecise or vague, suchas interval data, ordinal da...

I many circumstances, evaluations are based on empirical data. However, some observations may be imprecise, meaning that it is not entirely clear what occurred in them. We address the question of how beliefs are formed in these situations. The individual in our model is essentially a “frequentist.” He first makes a subjective judgment about the occurrence of the event for each imprecise observa...

The basic mathematical theory underlying the notions of conglomerability and disintegrability is reviewed. Both the precise and the imprecise cases are concerned.

Design optimization is an important engineering design activity. Performing design optimization in the presence of uncertainty has been an active area of research. The approaches used require modeling the random variables using precise probability distributions or representing uncertain quantities as fuzzy sets. This work, however, considers problems in which the random variables are described ...

Formal epistemologists traditionally model rational states of partial belief with probability measures, functions that map each proposition to a single real number. But many have recently rejected this model as excessively precise. Sometimes your evidence for a certain claim is unspecific. And many have argued that the rational response to unspecific evidence is to have credences that are impre...

Secondary ion mass spectrometry (SIMS) data from diamond like carbon (DLC) often give inaccurate, imprecise results when methods tailored for silicon are applied. This work is a guide to accurate and precise future SIMS analyses of DLC.

When the time span of an event is imprecise, it can be represented by a fuzzy set, called a fuzzy time interval. In this paper we propose a representation for 13 relations that can hold between intervals. Since our model is based on fuzzy orderings of time points, it is not only suitable to express precise relationships between imprecise events (“the mid 1930’s came before the late 1930’s) but ...