Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
An Improved Method Estimating and Performing Confidence Interval and Hypothesis
Test in a Fuzzy Simple Linear Regression Model With non-fuzzy Inputs And Fuzzy outputs
1
32
FA
Mohammad Ghasem
Akbari
0000-0001-5064-8065
Department of Statistics, University of Birjand, Birjand, Iran
g_z_akbari@birjand.ac.ir
Gholamreza
Hesamian
Department of Statistics, Payame Noor University, Iran
gh.hesamian@pnu.ac.ir
10.22055/jamm.2019.23961.1505
In this paper, an existing method to estimate coefficients of a fuzzy regression model with non-fuzzy inputs and fuzzy out-puts as well as its method to perform a fuzzy hypothesis test and a fuzzy confidence interval are recalled. Then, the disadvantages and shortcoming of this method are examined and criticized by analyzing several numerical examples. By introducing an appropriate alternative approach to estimating coefficients and applying conventional fuzzy hypotheses in a fuzzy environment, we try to improve the method in the structure and decision making to accept or reject fuzzy hypotheses. For this purpose, employing a common distance measure and Bootstrap technique, the required test statistics are defined as non-fuzzy criteria. Then, by comparing the p-value obtained from the test statistics and a given significance, unlike the existing one, one can easily decide to accept or reject the null hypothesis. Also, using some applied examples, the possible advantageous of the proposed approach in hypothesis testing and confidence interval for fuzzy coefficients are compared and discussed.
Fuzzy observation,Fuzzy hypothesis,Confidence interval,Bootstrap,Distance measure between two fuzzy numbers
https://jamm.scu.ac.ir/article_14769.html
https://jamm.scu.ac.ir/article_14769_a78320d96493744ac78e4f3e789b7f8b.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
Estimation of reliability in multicomponent stress-strength model based on Gompertz distribution
33
52
FA
shahram
yagoobzadeh
0000-0002-8794-2222
Department of Statistics, Payame Noor University, Tehran, Iran
yagoubzade@gmail.com
10.22055/jamm.2019.24238.1519
In this research article,we estimate the multicomponent stress–strength reliability of a system when strength and stress variates are drawn from an exponentiated Weibull distribution with different shape parameters and , and common scale parameter , respectively. The reliability is estimated using the best single observation percentile method and maximum liklihood method of estimation when samples drawn from strength and stress distributions. The reliability estimators are compared asymptotically. The small sample comparison of the reliability estimates is made through Monte Carlo simulation. Using real data sets we illustrate the procedure.<br /> Keywords: Stress–Strength, Reliability, Maximum likelihood estimation, Best single observation percentile estimation, Mean square error, Confidence intervals, Gompertz distribution.
Stress–Strength"," Reliability"," Maximum likelihood estimation"," Bayesian estimation"," Mean square error","Gompertz distribution
https://jamm.scu.ac.ir/article_14770.html
https://jamm.scu.ac.ir/article_14770_84a4e339faa798c7d5f4326bfcdee769.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
Analysis of Spatial-Temporal data: the Case Study of Zanjan Daily mean Wind Speed Data
53
76
FA
Ali
Shahnavaz
Department of Statistics. Science and Research Branch. Islamic Azad University. Tehran. Iran
shahnavaz_ali2000@yahoo.com
Ali
M. Mosammam
Department of Statistics. University of Zanjan. Zanjan. Iran
a.m.mosammam@znu.ac.ir
Mohammad Hassan
Behzadi
Department of Statistics. Science and Research Branch. Islamic Azad University. Tehran. Iran
behzadi@srbiau.ac.ir
10.22055/jamm.2019.26917.1624
In this paper, we first study the theory of the spatial-temporal half spectral modelling and describe some properties of recently proposed half spectral models. Next, we propose an estimation method for the estimation of spatial-temporal covariance functions in the half-spectral setting. To assess the performance of the proposed half-spectral models, we conduct two simulations. in which we compare the proposed fitting approach with respect to the other classical estimation methods. The proposed methods have great success in fitting parametric space-time covariance functions specifically for massive data sets. Finally, we apply the proposed methods for a real daily wind speed data in Zanjan, Iran.
Space-time model,Half-spectral model,Whittle likelihood
https://jamm.scu.ac.ir/article_14771.html
https://jamm.scu.ac.ir/article_14771_21c15c6af4c4d4a622cc3320d2e6b452.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
Modeling seasonal changes and death rate of hive bee in honey bee colony
77
92
FA
shahin
bagheri
Department of Applied Mathematics, Tarbiat Modares University, Tehran, Iran.
shahinbaheri1993@yahoo.com
Mehdi
Mirzaie
Department of Applied Mathematics, Tarbiat Modares University, Tehran, Iran
mirzaie@modares.ac.ir
rezvan
salehi
Department of Applied Mathematics, Tarbiat Modares University, Tehran, Iran.
rsalehi@modares.ac.ir
10.22055/jamm.2019.26669.1613
Honey bee is the insect that mainly pollens agricultural products. In recent decades, colony failure rates as a global concern have increased. Some mathematical models have been proposed. In one of the first models the impact of bee death rates on population dynamics was studied and then the food availability and the rate of broods added to the model. Here we improve the model by considering seasonal changes and death rate of hive bees. Our results show that death rates higher than 0.41 lead to colony collapse. At higher death rates, despite of colony failure, food stored in colony and this is instance of colony collapse. Additionally, the model predicts the minimum food needed for colony in various death rates.
honey bee,dynamical modeling,seasonal changes,death rate,and colony collapse
https://jamm.scu.ac.ir/article_14772.html
https://jamm.scu.ac.ir/article_14772_6a3bada222bce8488a905dcb8ce21654.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
Modelling of chaos in smooth piecewise dynamical systems with one discontinuous point
93
105
FA
Mehdi
Pourbarat
Department of Mathematics, Shhid Beheshti University, Tehran, Iran
m-pourbarat@sbu.ac.ir
Neda
Abbasi
Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran
n_abbasi@sbu.ac.ir
Roya
Makrooni
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
royamakrooni@yahoo.com
10.22055/jamm.2019.26024.1588
In this paper, we provide conditions on the smooth piecewise dynamical systems that guarantee the existence of Devaney chaos. In fact, we show that if f is a generalized semi-baker map with two branches and its derivative greater than or equal √2, then the dynamical system related to that is chaotic in the sense of Devaney. Such conditions on the dynamical systems with more than one discontinues point essentially does not satisfy this result.
Dynamical System,Devaney chaos,discontinues point
https://jamm.scu.ac.ir/article_14773.html
https://jamm.scu.ac.ir/article_14773_c5481d490ef17b67d259a9de14be11f7.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
A new mixed integer model and iterative solution approach for scheduling and planning of multi product oil pipeline
106
125
FA
Neda
Beheshti
Department of Applied Mathematics, Amir Kabir University of Technology, Tehran, Iran
beheshti.neda@aut.ac.ir
Seyed Ali
Mirhassani
Department of Applied Mathematics, Amir Kabir University of Technology, Tehran, Iran
a_mirhassani@aut.ac.ir
10.22055/jamm.2019.24365.1527
The problem of pipeline planning is one of the most complex problems in the field of applied and industrial problems. Multi product pipeline planning and inventory management in distribution centers has to consider the pipeline limitations as well as the operational restrictions. Another important issue is the customer demands that must be satisfy on time. Providing effective mathematical models, that cover different aspects of this problem, as well as appropriate solving methods helps to planner to achieve the optimal scheduling of pipelines. Many researchers have been working on models to provide efficient models and develop appropriate methods for solving this problem. In this paper, a new mixed integer optimization model (MILP) is proposed for scheduling and planning multiple product pipelines that connect a refinery to a distribution center. The advantage of this model is its formulation method, which attempts to reduce the number of binary variables used in the model and reduce the complexity of the mathematical model. For this purpose, the problem has first been formulated without taking into account some operational constraints and during the model's solving, by applying an iterative algorithm, these restrictions are added to the model step by step. Finally, to validate models and solving methods, by implementing the proposed models and solution methods on real pipeline systems (based on information from Iran Telecom and Oil Pipelines), the outputs in terms of solving time and quality solution and objective function value are evaluated.
Scheduling and Planning,Multiple products Pipelines,MILP Mathematic Model
https://jamm.scu.ac.ir/article_14774.html
https://jamm.scu.ac.ir/article_14774_7f876d0c965df7cf10eb3a33235017b5.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
A generalized SBM super-efficiency in fuzzy data envelopment analysis
126
145
FA
mozhgan
mansouri kaleibar
Department of Mathematics, Semnan University, Semnan, Iran
mozhganmansouri@semnan.ac.ir
ali
Ashrafi
Department of Mathematics, Semnan University, Semnan, Iran
a_ashrafi@semnan.ac.ir
10.22055/jamm.2019.21655.1422
The slacks-based measure super-efficiency model is presented for ranking SBM's efficient decision making units. Fuzzy data envelopment analysis models have been introduced to evaluate uncertain inputs and outputs for decision making units (DMUs). In this methods, mostly used α-cut procedure. Also, sample fuzzy decision making units in these methods cannot be assessed. This paper proposes generalized fuzzy super-efficiency model which includes, old fuzzy DEA models, and evaluates the sample decision making units. This scheme embraces evaluation method based on vector. As an empirical example, the proposed method is applied to the flexible manufacturing system data to rank efficient units.
Data envelopment analysis,fuzzy data envelopment analysis,slacks-based measure,super– efficiency
https://jamm.scu.ac.ir/article_14775.html
https://jamm.scu.ac.ir/article_14775_43939b8a05d7e99bf5709f7147a2ca8e.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
A generalized convex quadratic programming to solve fuzzy linear system
146
170
FA
Omid
Solaymani Fard
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
omidsfard@gmail.com
Naser
Akhoundi
Department of Applied Mathematics, Damghan University, Damghan, Iran
akhoundi@du.ac.ir
Mohadeseh
RamezanZadeh
Department of Applied Mathematics, Damghan University, Damghan, Iran
ramezanzadeh2@ymail.com
Morteza
Gachpazan
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
gachpazan@um.ac.ir
10.22055/jamm.2019.26438.1605
The linear systems are one of the most important tools for modeling real-world phenomena. Because the real-world phenomena are always associated with uncertainty, solving the fuzzy linear system have a great importance. One of the proposed methods to find the exact and approximate solutions of a fuzzy linear system is using the least squares method. In this method, by choosing an arbitrary meter and solving a quadratic programming, they provide an approximate (or exact) solution for the fuzzy linear system. In this paper, at first, we prove that under some conditions and not depending on the selected meter the quadratic programming is convex. Therefore, by considering three different meters and solving several examples, we compare the obtained approximate solutions.
Fuzzy Numbers,Convex quadratic programming,Least squares
https://jamm.scu.ac.ir/article_14776.html
https://jamm.scu.ac.ir/article_14776_12b46a50aacfef6089f164fbca82d677.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
Generalization of the concept of equitable efficiency in multiobjective optimization problems
171
190
FA
Davoud
Foroutannia
Department of Mathematics, Vali Asr University of Rafsanjan, Rafsanjan, Iran
foroutan@vru.ac.ir
Mina
Merati
Department of Mathematics, Vali Asr University of Rafsanjan, Rafsanjan, Iran
mi.merati@gmail.com
10.22055/jamm.2019.26673.1614
The main purpose of the paper is to generalize the concept of equitable efficiency by introducing the concept of equitable A-efficiency, where A is an arbitrary matrix with non-negative entries. Two conditions are provided to ensure that the relation of equitable A-dominance is an equitable rational preference relation. Furthermore the structure of equitably A-efficient set is investigated and is proved that the set of equitably A-efficient solutions is contained within the set of efficient. Hence to reduce Pareto-optimal solutions, we can use equitably A-efficient solutions.
Efficient solution,Nondominated,Equitable,Preference relation,Multiobjective optimization
https://jamm.scu.ac.ir/article_14777.html
https://jamm.scu.ac.ir/article_14777_a189f2adc9afc8b0d37a6fb3397371e1.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
Dominance Graph of Binary Words
191
205
FA
Farzad
Shaveisi
0000-0001-9138-6321
Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran
f.shaveisi@razi.ac.ir
Soheila
Nasouri
Department of Mathematics, Razi University, Kermanshah, Iran
s.nasori.93@gmail.com
10.22055/jamm.2019.26702.1616
The dominance graph of the binary words, which is denoted by (Γ_n ) ⃗ , is a directed graph whose vertex set is the set of all binary words of length n. Setting B_1 (w)={1≤i≤n┤| w_i=1}, for every vertex 〖w_1 w_2…w〗_n, we join two vertices v and w by an arc if B_1 (w) is contained in B_1 (v). In this paper, we study some graphical parameters of this graph. For example, after computing the distance of every two vertices and the eccentricity of any vertex, it is proved that the diameter and the radius of the underlying graph of (Γ_n ) ⃗ equals 3 and 2, respectively. Also, it is proved that this graph has 〖 3〗^n-3(2^n-1) edges. Then we prove that both of the clique nmber and the chromatic number of the dominance graph of binary words of length n are n-1. Among other results, it is shown that the edge chromatic number and the maximum degree of vertices are equal to 2^(n-1)-2. Finally, by a combinatorial method, the independence number of this graph is determined, too.
Dominance graph of Binary words,Diameter,Girth,Radius,Chromatic number,Independence number
https://jamm.scu.ac.ir/article_14778.html
https://jamm.scu.ac.ir/article_14778_b460607ff30451796447b02bd9491699.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
Revisiting Narayana's Approach to the Chung-Feller Theorem
206
212
FA
Seyed Mohsen
Ghoraishi Sharaki
Department of mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
m.ghoraishi@scu.ac.ir
10.22055/jamm.2019.27150.1640
Using cyclic permutations, Narayana investigated the relation between the area under north-east paths from the origin to the point (n,n) and the number of the flaws of the paths. His result implies a proof to the Chung-Feller Theorem. In this paper by revising the Narayana's approach, we offer short proofs to the theorems of Narayana and Chung-Feller.
Catalan numbers,north-east path,flaw
https://jamm.scu.ac.ir/article_14779.html
https://jamm.scu.ac.ir/article_14779_473e876733969f0635a1e0d9443ecb3b.pdf
Shahid Chamran University of Ahvaz
Journal of Advanced Mathematical Modeling
2251-8088
2645-6141
9
2
2019
09
23
s- R - continuous functions
213
225
FA
Masoumeh
Etebar
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
m.etebar@scu.ac.ir
10.22055/jamm.2019.26434.1606
A new class of continuous functions, namely s - R - continuous<br /> functions, is introduced. The relations of s - R - continuity with<br /> continuity and other variants of continuity are discussed. Basic<br /> Properties of s - R - continuous functions are studied. <br /> Conditions are established under which every weakly theta_cl -continuous<br /> function is s - R - continuous.
theta - open set,theta_cl - open set,R - continuous function,theta - R - continuous function
https://jamm.scu.ac.ir/article_14780.html
https://jamm.scu.ac.ir/article_14780_ded870f03a4d037038b49589108f1036.pdf