@article { author = {Zangiabadi, Mostafa and Afshin, Hamid Reza}, title = {PERRON-FROBENIUS THEORY ON THE NUMERICAL RANGE FOR SOME CLASSES OF REAL MATRICES}, journal = {Journal of Mahani Mathematical Research}, volume = {2}, number = {2}, pages = {1-15}, year = {2013}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {10.22103/jmmrc.2014.856}, abstract = {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.}, keywords = {sign-real numerical radius,sign-real spectral radius,Perron-Frobenius theory,signature matrices,numerical range}, url = {https://jmmrc.uk.ac.ir/article_856.html}, eprint = {https://jmmrc.uk.ac.ir/article_856_4163809109f91cfe3ad4ec8517d70609.pdf} } @article { author = {MOHAMMADI, UOSEF}, title = {RELATIVE INFORMATION FUNCTIONAL OF RELATIVE DYNAMICAL SYSTEMS}, journal = {Journal of Mahani Mathematical Research}, volume = {2}, number = {2}, pages = {17-28}, year = {2013}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {10.22103/jmmrc.2014.865}, abstract = { 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.}, keywords = {Information function,relative dynamical system,relative generator,relative measure,relative information functional}, url = {https://jmmrc.uk.ac.ir/article_865.html}, eprint = {https://jmmrc.uk.ac.ir/article_865_df2e81795f1e4313db1f89f5b63850ee.pdf} } @article { author = {KHADEMI, M. and AMIRZADEH, V.}, title = {PROCESS CONTROL USING ASSUMED FUZZY TEST AND FUZZY ACCEPTANCE REGION}, journal = {Journal of Mahani Mathematical Research}, volume = {2}, number = {2}, pages = {29-37}, year = {2013}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {10.22103/jmmrc.2015.890}, abstract = {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 de ne 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.}, keywords = {fuzzy hypotheses testing,fuzzy rejection region,hybrid numbers}, url = {https://jmmrc.uk.ac.ir/article_890.html}, eprint = {https://jmmrc.uk.ac.ir/article_890_4b869cc018665b203c6593d5a6f787e4.pdf} } @article { author = {Saheli, Morteza}, title = {Hyers-Ulam-Rassias Stability of Functional Equations on Fuzzy Normed Liner Spaces}, journal = {Journal of Mahani Mathematical Research}, volume = {2}, number = {2}, pages = {39-60}, year = {2013}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {10.22103/jmmrc.2021.3104}, abstract = {In this paper, we use the definition of fuzzy normed spaces given by Bag and Samanta and the behaviors of solutions of the additive functional equation are described. The Hyers-Ulam stability problem of this equation is discussed and theorems concerning the Hyers-Ulam-Rassias stability of the equation are proved on fuzzy normed linear space.}, keywords = {Fuzzy norm,Fuzzy normed linear space,Fuzzy bounded linear operator}, url = {https://jmmrc.uk.ac.ir/article_3104.html}, eprint = {https://jmmrc.uk.ac.ir/article_3104_36483b7b147002085a360ea48f36216d.pdf} } @article { author = {Hashemi-Bosra, Seyed Shahrokh and Salehi, Ebrahim}, title = {The mean residual lifetime of parallel systems with two exchangeable components under the Generalized Farlie-Gumbel-Morgenstern model}, journal = {Journal of Mahani Mathematical Research}, volume = {2}, number = {2}, pages = {61-72}, year = {2016}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {10.22103/jmmrc.2016.1305}, abstract = {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 correlation coefficient Kendall's Tau of Generalized FGM bivariate copula.}, keywords = {mean residual lifetime,copula,exponential distribution,Reliability}, url = {https://jmmrc.uk.ac.ir/article_3967.html}, eprint = {https://jmmrc.uk.ac.ir/article_3967_cd1e13af7b969c799262138e1fc2b956.pdf} } @article { author = {Arabpour, Alireza and Mozafari, Mahdieh}, title = {Linear Hypothesis Testing using D_LR Metric}, journal = {Journal of Mahani Mathematical Research}, volume = {2}, number = {2}, pages = {73-87}, year = {2013}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {10.22103/jmmrc.2013.1398}, abstract = {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 D_LR metric, a method for testing the linear hypothesis has been proposed based on fuzzy techniques. In fact, in this method a set of confidence 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.}, keywords = {Analysis of covariance,Buckley's method,Confidence interval,D_LR metric}, url = {https://jmmrc.uk.ac.ir/article_3968.html}, eprint = {https://jmmrc.uk.ac.ir/article_3968_7369521e11a8d017ce729aeb1e32aa38.pdf} }