We show that the main results of the expected utility and dual utility theories can be derived in a unified way from two fundamental mathematical ideas: the separation principle of convex analysis, and integral representations of continuous linear functionals from functional analysis. Our analysis reveals the dual character of utility functions. We also derive new integral representations of du...

In this paper, passive uncertainties are introduced and we deal with the robust passive observer-based control problem for a class of singular systems, and then provide the sufficient conditions of the passive control for the closed-loop systems of this kind of systems, whose controller is based on observer. Finally two numerical examples are provided to show the usefulness and the feasibility ...

Social media allow people to express and promote different opinions, on which people’s sentiments to a subject often diverge when their opinions conflict. An intuitive visualization that unfolds the process of sentiment divergence from the rich and massive social media data will have far-reaching impact on various domains including social science, politics and economics. In this paper, we propo...

Segmentation is always a difficult task in image analysis. In this paper, we propose a solution to computing distance transforms in images with fuzzy object borders. The difference from a standard distance transform is in the initialisation, which takes the fuzziness of the border into account. As an example of its usefulness, the new fuzzy border distance transform is used in skeletonization.

Data mining has primarily focused on statistical properties of data alone and not necessarily on what could be done with the patterns. While there has been some work on measuring usefulness of patterns in decision making but not on using such measures for driving the mining process. We introduce a framework to mine clusters that support decision making. We use an extrinsic measure that evaluate...

In this paper we consider the problem of clustering line-segments into new ones. The clustering-hierarchy gives an answer to the question what original line segments are combined into larger ones. Such a clustering is deened as a hierarchical ordering of a set of line-segments. Criteria on a clustering-method are presented. The diierence between edges and lines in relation to scale-invariant cl...

The problem of primary control of high-voltage direct current transmission systems is addressed in this paper, which contains four main contributions. First, to propose a new nonlinear, more realistic, model for the system suitable for primary control design, which takes into account nonlinearities introduced by conventional inner controllers. Second, to determine necessary conditions—dependent...

background in surgical pathology, atypical small acinar proliferation is commonly detected in prostate biopsies. most studies on atypical small acinar proliferation have examined morphological characteristics and the utility of immunohistochemical studies.however, these resources are not available to many pathology departments. we have found that examining additional sections is a simple and in...

This paper investigates the impact of risk aversion in decision analyses under uncertainty with a single evaluation measure and presents a simple procedure for approximately addressing risk aversion in a way that is defensible for many decisions. Speci ̄cally, a simulation study is presented that leads to guidelines for determining when an expected utility analysis should be conducted for a deci...