Definitions and classifications of reduced surds for non-arithmetical groups on the hyperbolic plane is proposed, as well those some congruence subgroups. The considered are desymmetrized group, its Γ0 subgroup, a generalized Hecke group according choice commutator subgroup group. definitions studied to ordering generators conjugacy subclasses groups. construction tori defined obtained after te...

This paper presents an investigation into generalized Bayesian analysis of warranty contracts, using sets of prior distributions within the theory of imprecise probability. Explicit expressions are derived for optimal lower and upper bounds for the expected profit for the manufacturer of a product, corresponding to an imprecise negative binomial model for which two sets of prior distributions a...

November 2005 Vol.6 No.2 IEEE Intelligent Informatics Bulletin Abstract--Similarity measure is one of important, effective and widely-used methods in data processing and analysis. As vague set theory has become a promising representation of fuzzy concepts, in this paper we present a similarity measure approach for better understanding the relationship between two vague sets in applications. Com...

In this paper, we present two new methods for evaluating students’ answerscripts using vague values, where the evaluating marks awarded to the questions in the students’ answerscripts are represented by vague values. The vague mark awarded to each question of a student’s answerscript can be regarded as a vague set, where each element in the universe of discourse belonging to the vague set is re...

Root-class residuality of free product of root-class residual groups is demonstrated. A sufficient condition for root-class residuality of generalized free product G of groups A and B amalgamating subgroups H and K through the isomorphism φ is derived. For the particular case when A = B, H = K and φ is the identity mapping, it is shown that group G is root-class residual if and only if A is roo...

Acute HIV infection (AHI) is often marked by nonspecific and vague complaints, which make detection difficult. An 18-year-old man presented with one week history of subjective fevers with chills, nonproductive cough and generalized body aches. He was found to have rhabdomyolysis due to AHI. This report adds the most thoroughly investigated case of AHI-associated rhabdomyolysis to date, having r...

Logics for ‘generally’ are intended to express some vague notions, such as ‘generally’, ‘several’, ‘many’, ‘most’, etc., by means of the new generalized quantifier ∇ and to reason about assertions with ‘generally’ (important issues in qualitative reasoning). We introduce the idea of functional interpretation for ‘generally’ and show that representative functions (akin to Skolem functions) enabl...