Revistas académicas de la Universidad Católica del Norte
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Graphics and representable fuzzifying matroids
No full textIn this paper, a fuzzifying matroid is induced respectively from a fuzzy graph and a fuzzy vector subspace. The concepts of graphic fuzzifying matroid and representable fuzzifying matroid are presented and some properties of them are discussed. In general, a graphic fuzzifying matriod can not be representable over any field. But when a fuzzifying matroid is isomorphic to a fuzzifying cycle matroid which is induced by a fuzzy tree, it is a representable over any field
On the distributions of the densities involving non-zero zeros of bessel and legendre functions and their infinite divisibility
No full textIn the present paper, we introduce the probability density functions involving non-zero zeros of the Bessel and Legendre functions. Then, we evaluate the distributions of the characteristic functions defined by these probability density functions and again obtain their related functions and polynomials. Finally, we prove the infinite divisibility of these probability density functions
Alpha-skew-normal distribution
No full textThe main object of this paper is to introduce an alternative form of generate asymmetry in the normal distribution that allows to fit unimodal and bimodal data sets. Basic properties of this new distribution, such as stochastic representation, moments, maximum likelihood and the singularity of the Fisher information matrix are studied. The methodology developed is illustrated with a real application
ACCRETIVE OPERATORS AND BANACH ALAOGLU THEOREM IN LINEAR 2-NORMED SPACES
No full textIn this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationships and the various aspects of accretive, m-accretive and maximal accretive operators. We prove the analogous of Banach-Alaoglu theorem in linear 2- normed spaces, obtaining an equivalent definition for accretive operators in linear 2-normed spaces
On f-clean rings and f-clean elements
No full textAn associative ring R with identity is called f-clean ring if every element in R is the sum of an idempotent and a full element. In this paper, various basic properties of f-clean rings and f-clean elements are proved. Also, we give some new charaterizations of f-clean rings. In addition, we prove that the ring of skew Hurwitz series T = (HR, σ) where σ is an automorphism of R is f-clean if and only if R is f-clean
Measures of fuzzy subgraphs
No full textIn this paper, we introduce the notion of degree to which a fuzzy subset is a fuzzy subgroup by means of the implication operator of [0, 1]. A fuzzy subset µ in a group G is a fuzzy subgroup if and only if its subgroup degree mg(µ) = 1. Some properties of subgroup degrees are investigated
An extension of the skew-generalized normal distribution and its derivation
No full textIn this paper, we introduce a new class of skew-symmetric distributions which are formulated based on cumulative distributions of skew-symmetric densities. This new class is an extension of other skew-symmetric distributions that have already been studied. We give special attention to a family from this class that could be seen as an extension ofthe skew-generalized-normal model introduced by Arellano-Valle et al.(2004). We study the main properties, stochastic representation, moments and an extension of this new model
Partial trees in weighted graphs-i
No full textThis paper generalizes the tree concept in Graph Theory, which plays a crucial role in many areas of science and technology. This paper also characterizes partial trees using the concept of maximum spanning trees
An extension of sheffer polynomials
No full textSheffer [Some properties of polynomial sets of type zero, Duke Math. J. 5 (1939), pp.590-622] studied polynomial sets zero type and many authors investigated various properties and its applications. In the sequel to the study of Sheffer Polynomials, an attempt is made to generalize the Sheffer polynomials by using partial differential operator
On Turán's type inequalities for some special functions and operators
No full textThe purpose of this paper is to use the generalized Schwarz inequality to give a short proofs of new Turán-type inequalities for some special functions and operators