2021-09-19T03:16:13Z
https://jmm.guilan.ac.ir/?_action=export&rf=summon&issue=546
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
A new outlier detection method for high dimensional fuzzy databases based on LOF
Alireza
Fakharzadeh Jahromi
Zahra
Ebrahimi Mimand
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.
Fuzzy numbers
Outlier data
LOF factor
$alpha$-cut
Left and right scoring
2018
12
01
123
136
https://jmm.guilan.ac.ir/article_2830_25e25bb82ab0cbeea3ffaefd396c0159.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
Existence and uniqueness of integrable solutions of fractional order initial value equations
Bhausaheb
Sontakke
Amjad
Shaikh
Kottakkaran
Nisar
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.
Integrable solution
existence and uniqueness
Caputo operator
fixed point theorems
2018
12
01
137
148
https://jmm.guilan.ac.ir/article_2917_bfcae2cf130e3ebe53c6bccd3a6b54d6.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
A mathematical modeling of pulsatile blood flow through a stenosed artery under effect of a magnetic field
Ahmad Reza
Haghighi
Nooshin
Aliashrafi
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.
Blood flow
Magnetic field
Body acceleration
Crank-Nicolson scheme
2018
12
01
149
164
https://jmm.guilan.ac.ir/article_2927_9a7cce55b790b9416f962210870ef8a0.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
Mathematical modeling of the migration's effect and analysis of the spreading of a cholera epidemic
Eric
Kokomo
Yves
Emvudu
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 $2011$.
Cholera epidemic
Semigroup
partial differential equation
Dirac distribution
optimal control
2018
12
01
165
186
https://jmm.guilan.ac.ir/article_2961_ea2a7406ae696fb0fe00e0485f6fa68c.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
Inverse eigenvalue problem of interval nonnegative matrices of order $le 3$
Alimohammad
Nazari
Maryam
Zeinali
Hamid
Mesgarani
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.
Inverse eigenvalue problem of interval nonnegative matrices
2018
12
01
187
194
https://jmm.guilan.ac.ir/article_2962_a486c2238c47eb581d405624d3dce8d2.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
Analysis of mixed priority retrial queueing system with two way communication and working breakdown
Ayyappan
Govindan
Udayageetha
Jayaraj
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.
Mixed priority queueing systems
two way communication
retrial queue
working breakdown
negative arrival
Bernoulli vacation
2018
12
01
195
212
https://jmm.guilan.ac.ir/article_2973_bc10b19080a3621f3cfd6195244f3a3c.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
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
Nirmala
Marimuthu
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.
General bulk service
Non-Markovian queue
Breakdown and repair
Bernoulli vacation
Multiple vacation
Balking
re-service
2018
12
01
213
238
https://jmm.guilan.ac.ir/article_2974_9b2f1b7cca62ae48bbd2ab6ed12d6208.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
On the mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach spaces
Nawal A.
Alsarori
Kirtiwant P.
Ghadle
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.
Impulsive fractional differential inclusions
nonlocal conditions
fixed point theorems
mild solutions
2018
12
01
239
258
https://jmm.guilan.ac.ir/article_3009_a8cdc0708b1429393b53a7bb953089f9.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2018
6
2
A multi objective model for maximizing immunogenicity level of vaccination while minimizing cost and extra-immunization
Ahmad
Makui
Rouzbeh
Ghousi
Saeid
Zhalefruzan
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.
Pediatric vaccination
mixed vaccines
Immunogenicity
Multi objective
augmented epsilon constraint
2018
12
01
259
274
https://jmm.guilan.ac.ir/article_3010_8c8018a4cae186dcbf5e7b969dd6f651.pdf