A new outlier detection method for high dimensional fuzzy databases based on LOF
Alireza
Fakharzadeh Jahromi
Department of Applied Mathematics, Shiraz University of Technology, Shiraz, Iran & Fars Elites Foundation, Shiraz, Iran, P.O. Box 71966-98893
author
Zahra
Ebrahimi Mimand
PayamNoor University, Shiraz Branch, shiraz, Iran
author
text
article
2018
eng
Despite the importance of fuzzy data and existence of many powerful methods for determining crisp outliers, there are few approaches for identifying outliers in fuzzy database. In this regard, the present article introduces a new method for discovering outliers among a set of multidimensional data. In order to provide a complete fuzzy strategy, first we extend the density-based local outlier factor method (LOF), which is successfully applied for identifying multidimensional crisp outliers. Next, by using the left and right scoring defuzzyfied method, a fuzzy data outlier degree is determined. Finally, the efficiency of the method in outlier detection is shown by numerical examples.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
123
136
https://jmm.guilan.ac.ir/article_2830_25e25bb82ab0cbeea3ffaefd396c0159.pdf
dx.doi.org/10.22124/jmm.2018.8102.1108
Existence and uniqueness of integrable solutions of fractional order initial value equations
Bhausaheb
Sontakke
Department of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune, India & Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia
author
Amjad
Shaikh
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad, India
author
Kottakkaran
Nisar
Department of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune, India & Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia
author
text
article
2018
eng
This paper is devoted to investigate some existence and uniqueness results of integrable solutions for nonlinear fractional order initial value differential equations involving Caputo operator. We develop the existence of integral solution using Schauder's fixed point theorem. In addition, by applying the Banach contraction principle, we establish uniqueness result. To illustrate the applicability of main results, two examples are presented.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
137
148
https://jmm.guilan.ac.ir/article_2917_bfcae2cf130e3ebe53c6bccd3a6b54d6.pdf
dx.doi.org/10.22124/jmm.2018.9971.1147
A mathematical modeling of pulsatile blood flow through a stenosed artery under effect of a magnetic field
Ahmad Reza
Haghighi
Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran
author
Nooshin
Aliashrafi
Faculty of mathematical science, Urmia University of Technology, Urmia, Iran
author
text
article
2018
eng
A mathematical model for two-dimensional pulsatile blood flow through a constriction vessels under magnetic field and body acceleration is numerically simulated. The artery considered as an elastic cylindrical tube and the geometry of the constriction assumed to time-dependent with an aim to provide resemblance to the in-vivo situations. The blood flow considered nonlinear, incompressible and fully developed. The nonlinear momentum and the continuity equations under suitable initial and boundary conditions can be numerically solved using the Crank-Nicolson scheme. The blood flow specifications such as the velocity profile, the volumetric flow rate and the resistance to flow are obtained and effects of the magnetic field and the severity of the stenosis under these flow specifications are discussed. Besides the blood flow characteristics through elastic artery have been compared with the rigid ones.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
149
164
https://jmm.guilan.ac.ir/article_2927_9a7cce55b790b9416f962210870ef8a0.pdf
dx.doi.org/10.22124/jmm.2018.9259.1137
Mathematical modeling of the migration's effect and analysis of the spreading of a cholera epidemic
Eric
Kokomo
Department of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications, P.O. Box 812 Yaounde, University of Yaounde I, Cameroon and
African Center of Excellence in Technologies,
Information and Communication (CETIC) University of Yaounde I, Cameroon
author
Yves
Emvudu
Department of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications, P.O. Box 812 Yaounde, University of Yaounde I, Cameroon and
African Center of Excellence in Technologies,
Information and Communication (CETIC) University of Yaounde I, Cameroon
author
text
article
2018
eng
We propound a mathematical modeling of the migration's effect on the size of any population dynamic from a site of a heterogeneous space $\Omega\subset \textbf{R}^{d}$, $d=1,2,\ldots$. The obtained model is afterwards added at SIR model including the dynamics of the bacteria and some control parameters to model the spreading of a cholera epidemic which occurs in $\Omega$. The formulated model is given by a system of four parabolic partial differential equations. Existence and stability of equilibria, Turing's instability and optimal control problem of this model are studied. We finish with a real-world application in which we apply the model specifically to the cholera epidemic that took place in Cameroon in $2011$.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
165
186
https://jmm.guilan.ac.ir/article_2961_ea2a7406ae696fb0fe00e0485f6fa68c.pdf
dx.doi.org/10.22124/jmm.2018.8861.1128
Inverse eigenvalue problem of interval nonnegative matrices of order $\le 3$
Alimohammad
Nazari
Department of Mathematics, Arak university, Arak, Iran
author
Maryam
Zeinali
Department of Mathematics, Shahid Rajaee University, Lavizan, Tehran, Iran
author
Hamid
Mesgarani
Department of Mathematics, Shahid Rajaee University, Lavizan, Tehran, Iran
author
text
article
2018
eng
In this paper for a given set of real or complex interval numbers $\sigma$ satisfying special conditions, we find an interval nonnegative matrix $C$ such that for each point set $\delta$ of given interval spectrum $\sigma$, there exists a point matrix $A$ of $C$ such that $\delta$ is its spectrum. We also study some conditions for the solution existence of the problem.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
187
194
https://jmm.guilan.ac.ir/article_2962_a486c2238c47eb581d405624d3dce8d2.pdf
dx.doi.org/10.22124/jmm.2018.10836.1171
Analysis of mixed priority retrial queueing system with two way communication and working breakdown
Ayyappan
Govindan
Faculty and Head of Mathematics, Pondicherry Engineering College, India
author
Udayageetha
Jayaraj
Faculty of Mathematics, Perunthalaivar Kamarajar Arts College, India
author
text
article
2018
eng
Incoming calls are arrive at the service system according to compound Poisson process. During the idle time, the server making an outgoing call with an exponentially distributed time. If the incoming call that finds the server busy will join an orbit. Here we use mixed priority services i.e., an arriving call may interrupt the service of an outgoing call or join the retrial queue (orbit). The server takes Bernoulli vacation. The server may become inactive due to normal as well as abnormal breakdown. After the completion of service, vacation and repair the server is in idle state. We consider reneging to occur at the orbit. Using supplementary variable technique, the stability condition is derived.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
195
212
https://jmm.guilan.ac.ir/article_2973_bc10b19080a3621f3cfd6195244f3a3c.pdf
dx.doi.org/10.22124/jmm.2018.10323.1154
An $M^{[X]}/G(a,b)/1$ queue with unreliable server, re-service on server's decision, balking and Bernoulli vacation schedule under multiple vacation policy
Ayyappan
Govindan
Department of Mathematics, Pondicherry Engineering College, Puducherry, India
author
Nirmala
Marimuthu
Department of Mathematics, Pondicherry Engineering College, Puducherry, India
author
text
article
2018
eng
This paper deals with a non-Markovian batch arrival bulk service queue with unreliable server, re-service on server's decision, Bernoulli vacation schedule under multiple vacation and balking. We consider that the server is unreliable and may stop working due to failure. When this happens, the service is interrupted and restarted after repair. The service time, vacation time, re-service time and repair time assume to follow a general (arbitrary) distribution. In the proposed model, we derived the probability distribution of queue size at a random and departure epoch using supplementary variable techniques. Finally, some performance measures, particular cases and numerical results are obtained.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
213
238
https://jmm.guilan.ac.ir/article_2974_9b2f1b7cca62ae48bbd2ab6ed12d6208.pdf
dx.doi.org/10.22124/jmm.2018.10344.1156
On the mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach spaces
Nawal A.
Alsarori
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004(MS), India
author
Kirtiwant P.
Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004(MS), India
author
text
article
2018
eng
This paper gives existence results for impulsive fractional semilinear differential inclusions involving Caputo derivative in Banach spaces. We are concerned with the case when the linear part generates a semigroup not necessarily compact, and the multivalued function is upper semicontinuous and compact. The methods used throughout the paper range over applications of Hausdorff measure of noncompactness, and multivalued fixed point theorems. Finally, we provide an example to clarify our results.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
239
258
https://jmm.guilan.ac.ir/article_3009_a8cdc0708b1429393b53a7bb953089f9.pdf
dx.doi.org/10.22124/jmm.2018.10981.1177
A multi objective model for maximizing immunogenicity level of vaccination while minimizing cost and extra-immunization
Ahmad
Makui
School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
author
Rouzbeh
Ghousi
School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
author
Saeid
Zhalefruzan
School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
author
text
article
2018
eng
Mortality decrease due to immunizing is the achievement of vaccination. Immunizing faces challenges: Immunogenicity level, cost and extra-immunization. To overcome these a multi-objective Maximizing Immunogenicity, minimizing Cost and Extra-immunization model with Different Vaccine Formulary (ICEDVF) is introduced. Usually, Costs and budget lead to incomplete immunizing. Providing concept of immunogenicity under a fixed budget, the ICEDVF model seeks vaccines maximize immunogenicity and minimize both cost and extra immunization. The augmented e-constraint method is applied to solve ICEDVF and the results are presented for the U.S.
Journal of Mathematical Modeling
University of Guilan
2345-394X
6
v.
2
no.
2018
259
274
https://jmm.guilan.ac.ir/article_3010_8c8018a4cae186dcbf5e7b969dd6f651.pdf
dx.doi.org/10.22124/jmm.2018.7695.1102