PERRON-FROBENIUS THEORY ON THE NUMERICAL RANGE FOR SOME CLASSES OF REAL MATRICES
MOSTAFA
ZANGIABADI
DEPARTMENT OF MATHEMATICS, HORMOZGAN UNIVERSITY, P. O. BOX 3995,
BANDAR ABBAS, IRAN
author
HAMID REZA
AFSHIN
DEPARTMENT OF MATHEMATICS, VALI-E-ASR UNIVERSITY OF RAFSANJAN,
P. O. BOX 518, RAFSANJAN, IRAN
author
text
article
2014
eng
We give further results for Perron-Frobenius theory on the numericalrange of real matrices and some other results generalized from nonnegative matricesto real matrices. We indicate two techniques for establishing the main theorem ofPerron and Frobenius on the numerical range. In the rst method, we use acorresponding version of Wielandt's lemma. The second technique involves graphtheory.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
2
v.
2
no.
2014
1
15
http://jmmrc.uk.ac.ir/article_856_4163809109f91cfe3ad4ec8517d70609.pdf
dx.doi.org/10.22103/jmmrc.2014.856
RELATIVE INFORMATION FUNCTIONAL OF RELATIVE
DYNAMICAL SYSTEMS
UOSEF
MOHAMMADI
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE
UNIVERSITY OF JIROFT , JIROFT, IRAN, 78671-61167.
author
text
article
2014
eng
In this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. We extract the information function ofan ergodic dynamical system (X,T) from the relative information of T fromthe view point of observer χX, where X denotes the base space of the system.We also generalize the invariance of the information function of a dynamicalsystem , under topological isomorphism, to the relative information functional.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
2
v.
2
no.
2014
17
28
http://jmmrc.uk.ac.ir/article_865_df2e81795f1e4313db1f89f5b63850ee.pdf
dx.doi.org/10.22103/jmmrc.2014.865
PROCESS CONTROL USING ASSUMED FUZZY TEST AND FUZZY ACCEPTANCE
REGION
M.
KHADEMI
DEPARTMENT OF STATISTICS, FACULTY OF MATHEMATICS AND COMPUTER SCIENCE,
SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN
author
V.
AMIRZADEH
DEPARTMENT OF STATISTICS, FACULTY OF MATHEMATICS AND COMPUTER SCIENCE,
SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN
author
text
article
2015
eng
There are many situations for statistical process in which we have both random and vagueinformation. When uncertainty is due to fuzziness of information, fuzzy statistical control charts play animportant role in the monitoring process, because they simultaneously deal with both kinds of uncertainty.Dealing with fuzzy characteristics using classical methods may cause the loss of information and inuencein process deciding making. In this paper, we proposed a decision-making process based on fuzzy rejectionregions and fuzzy statistical tests for crisp observation. With both methods, we dene the degree of depen-dence to acceptance region for decision in the fuzzy regions and process fuzzy. A numeric example illustratesthe performance of the method and interprets the results.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
2
v.
2
no.
2015
29
37
http://jmmrc.uk.ac.ir/article_890_4b869cc018665b203c6593d5a6f787e4.pdf
dx.doi.org/10.22103/jmmrc.2015.890
HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL EQUATIONS ON FUZZY NORMED LINER SPACES
M.
SAHELI
DEPARTMENT OF OF MATHEMATICS
VALI-E-ASR UNIVERSITY OF RAFSANJAN, RAFSANJAN, IRAN
author
text
article
2016
eng
In this paper, we use the denition of fuzzy normed spaces givenby Bag and Samanta and the behaviors of solutions of the additive functionalequation are described. The Hyers-Ulam stability problem of this equationis discussed and theorems concerning the Hyers-Ulam-Rassias stability of theequation are proved on fuzzy normed linear space.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
2
v.
2
no.
2016
39
60
http://jmmrc.uk.ac.ir/article_1128_308a48da0e9c5a0cd05bc30a04b557b1.pdf
dx.doi.org/10.22103/jmmrc.2016.1128
THE MEAN RESIDUAL LIFETIME OF PARALLEL SYSTEMS WITH TWO EXCHANGEABLE COMPONENTS UNDER THE GENERALIZED FARLIE-GUMBEL-MORGENSTERN MODEL
S. S.
HASHEMI-BOSRA
DEPARTMENT OF BASIC SCIENCES, BIRJAND UNIVERSITY OF
TECHNOLOGY, BIRJAND 97198, IRAN
author
E.
SALEHI
DEPARTMENT OF BASIC SCIENCES, BIRJAND UNIVERSITY OF
TECHNOLOGY, BIRJAND 97198, IRAN
author
text
article
2016
eng
The parallel systems are special important types of coherent structures and have many applications in various areas.In this paper we consider a two-exchangeable-component parallel system for the Generalized Farlie-Gumbel-Morgenstern (Generalized FGM) distribution. We study the reliability properties of the residual lifetime of the system under the condition that both components of the system are operating at time t, and obtain an explicit expression for the mean residual lifetime (MRL) for such system. The asymptotic behavior of the proposed MRL function of the system is also investigated when the exchangeable lifetimes of components have a Generalized FGM bivariate exponential. Finally, we present some results for the Kendall’s Tau correlation coefficient of Generalized FGM bivariate copula.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
2
v.
2
no.
2016
61
72
http://jmmrc.uk.ac.ir/article_1305_700a00b64730d6a670fc31ed002ab541.pdf
dx.doi.org/10.22103/jmmrc.2016.1305
LINEAR HYPOTHESIS TESTING USING DLR METRIC
ALIREZA
ARABPOUR
DEPARTMENT OF STATISTICS, FACULTY OF MATHEMATICS AND
COMPUTER, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN,
IRAN
author
MAHDIEH
MOZAFARI
DEPARTMENT OF STATISTICS, HIGHER EDUCATION COMPLEX OF
BAM, KERMAN, IRAN
author
text
article
2013
eng
Several practical problems of hypotheses testing can be under a general linear model analysis of variance which would be examined. In analysis of variance, when the response random variable Y , has linear relationship with several random variables X, another important model as analysis of covariance can be used. In this paper, assuming that Y is fuzzy and using DLR metric, a method for testing the linear hypothesis has been proposed based on fuzzy techniques. In fact, in this method a set of condence intervals has been used for creating fuzzy test statistic and fuzzy critical values. In addition, the proposed method has been mentioned for the reforming of the hypothesis testing when there is an uncertaity in accepting or rejecting hypotheses. Finally, by presenting two examples this method is illustrated. The result are illustrated by the means of some case studies.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
2
v.
2
no.
2013
73
87
http://jmmrc.uk.ac.ir/article_1398_8dde855722d56c643b869ec6fd428d05.pdf
dx.doi.org/10.22103/jmmrc.2013.1398