Journal of Mathematical Extension最新文献_第5页

Investigation of a common solution for a multi-singular fractional system by using control functions method 用控制函数法研究多奇异分数阶系统的一般解

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Journal of Mathematical Extension Pub Date : 2021-04-22 DOI: 10.30495/JME.V15I0.1927

A. Malekpour, Mehdi Shabibi

引用次数: 0

Bi-singular type of a fractional-order multi-points boundary value condition problem 一类分数阶多点边值条件问题的双奇异型

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Journal of Mathematical Extension Pub Date : 2021-04-21 DOI: 10.30495/JME.V15I0.1963

Mehdi Shabibi

引用次数: 0

On Class of Subalgebras of Bounded BCK-algebras 有界bck代数的一类子代数

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Journal of Mathematical Extension Pub Date : 2021-04-15 DOI: 10.30495/JME.V0I0.1660

H. Harizavi

引用次数: 0

Classification of Second Order Functional Differential Equations with Constant Coefficients to Solvable Lie Algebras 二阶常系数泛函微分方程对可解李代数的分类

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Journal of Mathematical Extension Pub Date : 2021-04-13 DOI: 10.30495/JME.V0I0.1810

Jervin Zen Lobo, Y. S. Valaulikar

引用次数: 0

A Hybrid DHFEA/AHP Method for Ranking Units with Hesitant Fuzzy Data 模糊数据模糊单元排序的DHFEA/AHP混合方法

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Journal of Mathematical Extension Pub Date : 2021-04-13 DOI: 10.30495/JME.V0I0.1794

T. R. Taziani, M. Ahmadi, M. Shahryari

{"title":"A Hybrid DHFEA/AHP Method for Ranking Units with Hesitant Fuzzy Data","authors":"T. R. Taziani, M. Ahmadi, M. Shahryari","doi":"10.30495/JME.V0I0.1794","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1794","url":null,"abstract":"One of the attractive subjects in decision analysis is the investigating of the uncertain data which is inevitable in many real-world applications. A variety of tools can be used by researchers to study the problems in the presence of uncertain data. For example, fuzzy sets theory has been introduced to investigate the uncertain data which formulates the uncertainty by using the membership functions. However, in many real world applications, it is difficult to determine the exact amount of the membership value and so the skepticism can be raised during the decision-making process. The new perspective manages the uncertainty caused by the skepticism and in this case, the most important issues are to collect the hesitant fuzzy information and to select the optimal alternative. This study develops the deviation-oriented hesitant fuzzy envelopment analysis (DHFEA) based on the slack based measure (SBM) in terms of deviation values; and on basis of different production possibility set (PPS) can be formulated. For this purpose, a two-stage method is proposed for ranking the Decision Making Units (DMUs) by using the DHFEA and the Analytic Hierarchy Process (AHP). Given that in many cases the importance of input or output indices plays an important role in decision-making, therefore, the first stage of the proposed method evaluates and compares the DMUs and the second stage constructs the pair-wise comparisons matrix by using the obtained results of DHFEA model and then proposes a complete ranking of DMUs by applying AHP method. The potential application of the proposed method is illustrated with a numerical example with the hesitant fuzzy data and the obtained results are compared with the results of the existing ranking methods.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42108774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Bi-Level Programming Model for Protecting an Important Node in a Network 保护网络重要节点的双层规划模型

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Journal of Mathematical Extension Pub Date : 2021-03-30 DOI: 10.30495/JME.V0I0.1732

H. Maleki, Z. Maleki, R. Akbari

{"title":"A Bi-Level Programming Model for Protecting an Important Node in a Network","authors":"H. Maleki, Z. Maleki, R. Akbari","doi":"10.30495/JME.V0I0.1732","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1732","url":null,"abstract":"Protecting important nodes in a network against natural disasters, security threats, attacks and so on is one of the main goals of network planners. In this paper, a new model is presented for protecting an important node (NMPN) in a typical network based on defensive location problem where the threatening agent (t-agent) has the ability to reinforce its power at some nodes. The NMPN is a bi-level programming problem. At the upper level, the planner agent (p-agent) try to ﬁnd the best locations for protecting resources in order to protect the important node. The lower level problem is represented as the shortest path problem in the network in which the edges are weighted with positive values and sometimes negative values. Thus, Bellman-Ford algorithm is applied to solve the lower level problem. The NMPN is an NP-hard problem. In this work, the genetic, ant colony optimization, binary artiﬁcial bee colony with diﬀerential evolution, artiﬁcial bee colony algorithms and a modiﬁed tabu search (MTS) algorithm are used to solve the problem. A test problem is randomly generated to investigate the performance of the used metaheuristic algorithms in this paper. Parameters of the metaheuristic algorithms are tuned by the Taguchi method for solving the test problem. Also, the ANOVA and Tukey tests are used to compare the performance of metaheuristic algorithms. The best results are obtained by the MTS algorithm","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":"124 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41260010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fekete-Szeg"{o} inequality for certain Subclasses of analytic functions related with Crescent-Shaped domain and application of Poison distribution series 与新月形域有关的解析函数某些子类的Fekete-Szeg“｛o｝不等式及Poison分布级数的应用

IF 0.5

Journal of Mathematical Extension Pub Date : 2021-03-24 DOI: 10.30495/JME.V0I0.1697

G. Murugusundaramoorthy

引用次数: 0

On crossed polysquare version of homotopy kernels 关于同伦核的交叉多方型

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Journal of Mathematical Extension Pub Date : 2021-03-23 DOI: 10.30495/JME.V0I0.1778

M. Dehghani, B. Davvaz, M. Alp

引用次数: 0

Sustainability and Optimal Allocation of Human Resource of Agricultural Practices in Sistan and Baluchestan Province Based on Network DEA 基于网络DEA的锡巴农业实践人力资源可持续性与优化配置

IF 0.5

Journal of Mathematical Extension Pub Date : 2021-03-23 DOI: 10.30495/JME.V0I0.1562

Azizalah Kord, A. Payan, S. Saati

{"title":"Sustainability and Optimal Allocation of Human Resource of Agricultural Practices in Sistan and Baluchestan Province Based on Network DEA","authors":"Azizalah Kord, A. Payan, S. Saati","doi":"10.30495/JME.V0I0.1562","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1562","url":null,"abstract":"The agricultural sector ensures food security in every country.Optimal agricultural practices presuppose the optimal allocationof resources, including water, soil, etc., by official authorities in everycountry because excessive use of natural resources would have harmfulconsequences for posterity despite meeting ad hoc needs. Therefore,sustainable agricultural practices in different regions should be basedon environmental, social, and economic criteria in the decision-makingprocess for the future. This study investigated the agricultural practicesin two stages: environmental stage (planting and maintaining)and economic stage (harvesting), which use shared resources. A networkDEA model was proposed for developing sustainable agriculturalpractices based on the proposed process. The development of sustainableagricultural practices in different regions presupposes the optimal allocation of water and human resources, which is realized by the improvementof irrigation methods and the quality of life of farmers. Innetwork DEA models, weight restrictions are used to determine sustainabledevelopment. The proposed model was analyzed with and withoutweight restrictions to determine the sustainable development of agriculturein Sistan and Baluchestan Province, Iran, between 2013 and 2017.On the other hand, given the important role human resources play inthe development of sustainable agricultural practices, some models weresuggested for determining the maximum required human resources foreach stage according to the obtained performance levels.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42933599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Evaluating Groups of Decision Making Units in the Data Envelopment Analysis based on Cooperative Games 基于合作博弈的数据包络分析中决策单元群的评价

IF 0.5

Journal of Mathematical Extension Pub Date : 2021-02-25 DOI: 10.30495/JME.V0I0.1736

S. Rahmati, R. Fallahnejad

引用次数: 0