Let $X$ be a  Banach  space, $Csubset X$  be  a  closed  convex  set  included  in  a well-based cone $K$, and also let $sigma_C$ be the support function which is defined on $C$. In this note, we first study the existence of a  bounded base for the cone $K$, then using the obtained results, we find some geometric conditions for the set  $C$,  so that ${mathop{rm int}}(mathrm{dom} sigma_C) neqem...

Assessment of projects with multiple criteria is very common in education and business organizations. This paper reports the use of fuzzy set theory for assessment of students' projects in an education setting. The whole assessment process includes four stages, namely generation of basic assessment criteria, selection of assessment criteria, determination of assessment criteria weights, and fuz...

In this paper, we discuss an attainable moment set (AMS) optimization methodology considering a system’s required (RMS). The AMS describes the achievable moments from system, given its input limits. An RMS, like AMS, is convex in space, describing for system to meet designed mission profile and disturbance rejection requirements. Given configuration of requirements, derived proposed maximizes c...

Rough set theory is a new approach to decision making in the presence of uncertainty and vagueness. Basic concepts of rough set theory will be outlined and its possible application will be briefly discussed. Further research problems will conclude the paper. © 1997 Elsevier Science B.V.

Acute abdominal pain in childhood is a common but diagnostically challenging problem facing Emergency Department personnel. Experienced physicians use a combination of key clinical attributes to assess and triage a child, but residents and inexperienced physicians may lack this ability. In order to assist them, we used knowledge discovery techniques based on rough set theory to develop a clinic...

In both hardware and software, masking can represent an effective means of hardening implementation against side-channel attack vectors such as Differential Power Analysis (DPA). Focusing on however, the use present various challenges: specifically, it often 1) requires significant effort to translate any theoretical security properties into practice, and, even then, 2) imposes a overhead in te...

This article concerns cautious classification models that are allowed to predict a set of class labels or reject make prediction when the uncertainty in is high. set-valued approach equivalent task acceptance region learning, which aims identify subsets input space, each guarantees cover observations with at least predetermined probability. We propose directly learn regions through risk minimiz...