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Iranian Journal of Fuzzy Systems最新文献

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A novel method for multi-objective design optimization based on fuzzy systems 基于模糊系统的多目标设计优化新方法
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-10-01 DOI: 10.22111/IJFS.2021.6264
M. R. Setayandeh, A. Babaei
{"title":"A novel method for multi-objective design optimization based on fuzzy systems","authors":"M. R. Setayandeh, A. Babaei","doi":"10.22111/IJFS.2021.6264","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6264","url":null,"abstract":"A novel strategy to design optimization is expressed using the fuzzy preference function concept. This method efficiently uses the designer’s experiences by preference functions and it is also able to transform a constrained multi-objective optimization problem into an unconstrained single-objective optimization problem. These two issues are the most important features of the proposed method which using them, you can achieve a more practical solution in less time. To implement the proposed method, two design optimizations of an unmanned aerial vehicle are considered which are: deterministic and non-deterministic optimizations. The optimization problem in this paper is a constrained multi\u0002objective problem that with attention to the ability of genetic algorithm, this algorithm is selected as the optimizer. Uncertainties are considered and the Monte Carlo simulation (MCS) method is used for uncertainties modeling. The obtained results show a good performance of this technique in achieving optimal and robust solutions.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"2010 1","pages":"181-198"},"PeriodicalIF":1.8,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86315417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A fuzzy generalized predictive controller to optimal drug dosage therapy of mathematical modeling of HIV HIV最优药物剂量治疗数学模型的模糊广义预测控制器
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-10-01 DOI: 10.22111/IJFS.2021.6256
Arezoo Vafamand, A. Fatehi, S. Oliaee
{"title":"A fuzzy generalized predictive controller to optimal drug dosage therapy of mathematical modeling of HIV","authors":"Arezoo Vafamand, A. Fatehi, S. Oliaee","doi":"10.22111/IJFS.2021.6256","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6256","url":null,"abstract":"This paper proposes a fuzzy-GPC based on a mathematical model of human immunodeficiency virus (HIV) to determine the drug dosage and control the progression of the illness. For this purpose, a Takagi-Sugeno (TS) fuzzy model is generated to identify the nonlinear behavior of HIV. The parameters of HIV are estimated by the least square error (LSE) estimation method. Moreover, three scenarios are proposed to control HIV. In scenario 1, according to TS fuzzy model, generalized Predictive Control (GPC) is designed for a daily base drug therapy. Scenario 2 and 3 are more practical. In scenario 2, since the biological behavior of patients are different, the variation in the patients biology is taken into account by generating data according to a group of patients with varying parameters in their mathematical model. In senario3, since daily diagnosis of patient’s health is costly, it is assumed that a patient information is available every month, and drug dosage is determined each month. As a result of which, the sample time of the measurement increases to 30 make it a multi-rate system. The result shows that the TS fuzzy models  the mathematical model of HIV very well, and in all scenarios, the proposed controller has a good performance and the number of healthy cells are controlled in acceptable amount.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"20 1","pages":"69-85"},"PeriodicalIF":1.8,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81734984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hierarchical Chinese postman problem with fuzzy travel times 具有模糊行程时间的分层中国邮差问题
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-10-01 DOI: 10.22111/IJFS.2021.6257
O. C. S¨okmen, M. Yilmaz
{"title":"Hierarchical Chinese postman problem with fuzzy travel times","authors":"O. C. S¨okmen, M. Yilmaz","doi":"10.22111/IJFS.2021.6257","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6257","url":null,"abstract":"The hierarchical Chinese postman problem (HCPP), one of the kinds of Chinese postman problem (CPP), aims to visit at least once the arcs are classified according to their precedence relations and to find the shortest tour or tours. In HCPP, if the travel time values between two nodes constituting the cost are not crisp, this problem type can be said to be the hierarchical Chinese postman problem with fuzzy travel times (HCPP-FTT). In real-life problems, as the travel time between the nodes is not fixed due to various factors, in this study triangular fuzzy numbers are used at objective function coefficients of a small-size sample problem. Different ranking methods are used to defuzzify the fuzzy numbers and the acquired results are compared. The mathematical model formed is resolved using CPLEX solver GAMS 24.2.3 software. Besides, in this study, a large-size real-life problem was discussed. The objective function coefficients representing the travel time between the two nodes in the case study discussed were considered as trapezoidal fuzzy numbers. Due to the NP-hard nature of the problem, the mathematical model cannot find solutions in large size problems in the appropriate time interval. For this reason, in this study, the heuristic method based on the Greedy Search (GS) algorithm and the meta-heuristic method based on ant colony optimization (ACO) is proposed for the solution of the real-life problem. The proposed algorithms are coded using the Matlab-2019b programming language. Using the developed algorithms, the results of different ranking methods and solution times were compared.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"100 1 1","pages":"87-105"},"PeriodicalIF":1.8,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88088805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
(2102-6510) Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices, respectively (2102-6510)利用有界格上的内算子和闭算子分别构造t-范数和t-合形
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-09-15 DOI: 10.22111/IJFS.2021.6321
Emel Asici
{"title":"(2102-6510) Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices, respectively","authors":"Emel Asici","doi":"10.22111/IJFS.2021.6321","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6321","url":null,"abstract":"In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods byErtugrul, Karacal, Mesiar [15] and Cayli [8] as results. Also, we give some illustrative examples. Finally, we show that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms andt-conorms on bounded lattices. This paper has further constructed the t-norms and t-conorms on bounded lattices from a mathematical viewpoint.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"64 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2021-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80189074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
( 2003-5778) Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings 模糊数值映射的pepeized Cauchy-Jensen型泛函方程的稳定性问题
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-09-11 DOI: 10.22111/IJFS.2021.6308
M. Miahi, Farshid Mirzaee, H. Khodaei
{"title":"( 2003-5778) Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings","authors":"M. Miahi, Farshid Mirzaee, H. Khodaei","doi":"10.22111/IJFS.2021.6308","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6308","url":null,"abstract":"We investigate the stability problems of the n-dimensional Cauchy-Jensen type and the n-dimensional Pexiderized Cauchy-Jensen type fuzzy number-valued functional equations in Banach spaces by using the metric defined on a fuzzynumber space. Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed. Our results can be regarded as important extensions of stability results corresponding tosingle-valued functional equations and set-valued functional equations, respectively.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"66 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2021-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80813395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
(2009-6161) Interval discrete fractional calculus and its application to interval fractional difference equations 区间离散分数阶微积分及其在区间分数阶差分方程中的应用
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-09-05 DOI: 10.22111/IJFS.2021.6294
R. Beigmohamadi, A. Khastan
{"title":"(2009-6161) Interval discrete fractional calculus and its application to interval fractional difference equations","authors":"R. Beigmohamadi, A. Khastan","doi":"10.22111/IJFS.2021.6294","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6294","url":null,"abstract":"In this work, we present some useful results of discrete fractional calculus for interval-valued functions. The composition rules for interval fractional operators are introduced, which are used to construct the general form of the solutions tononlinear interval fractional difference equations. An illustrative example is provided in which the method of recursive iterations is applied to obtain explicit formulas for the solutions of linear interval fractional difference equations.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"1 1","pages":"151-166"},"PeriodicalIF":1.8,"publicationDate":"2021-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89704785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
(2102-6487) Ordinal sum constructions for aggregation functions on the real unit interval (2102-6487)实单位区间上聚集函数的序数和构造
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-08-24 DOI: 10.22111/IJFS.2021.6286
A. Mesiarová-Zemánková, R. Mesiar, Y. Su
{"title":"(2102-6487) Ordinal sum constructions for aggregation functions on the real unit interval","authors":"A. Mesiarová-Zemánková, R. Mesiar, Y. Su","doi":"10.22111/IJFS.2021.6286","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6286","url":null,"abstract":"We discuss ordinal sums as one of powerful tools in the aggregation theory serving, depending on the context, both as a construction method and as a representation, respectively. Up to recalling of several classical results dealing with ordinal sums, in particular dealing, e.g., with continuous t-norms, copulas, or recent results, e.g., concerning uninorms with continuous underlying functions, we present also several new results, such as the uniqueness of the link between t-norms or t-conorms, and related Archimedean components, problems dealing with the cardinality of the considered index sets in ordinal sums, or infinite ordinal sums of aggregation functions covering by one type of ordinal sums both t-norms and t-conorms ordinal sums.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"68 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2021-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86068165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
(2101-6381) A note on divisible discrete triangular norms (2101-6381)关于可整除的离散三角模的注解
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-08-13 DOI: 10.22111/IJFS.2021.6278
F. Kouchakinejad, A. Stupňanová, A. Šeliga
{"title":"(2101-6381) A note on divisible discrete triangular norms","authors":"F. Kouchakinejad, A. Stupňanová, A. Šeliga","doi":"10.22111/IJFS.2021.6278","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6278","url":null,"abstract":"Triangular norms and conorms on [0, 1] as well as on finite chains are characterized by 4 independent properties, namely by the associativity, commutativity, monotonicity and neutral element being one of extremal points of the considered domain (top element for t-norms, bottom element for t-conorms). In the case of [0, 1] domain, earlier results of Mostert and Shields on I-semigroups can be used to relax the latest three properties significantly, once the continuity of the underlying t-norm or t-conorm is considered. The aim of this short note is to show a similar result for finite chains, we significantly relax 3 basic properties of t-norms and t-conorms (up to the associativity) when the divisibility of a t-norm or of a t-conorm is considered.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"25 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73970817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
(2006-5936) Distributivity laws for quasi-linear means (2006-5936)拟线性均值的分配律
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-08-13 DOI: 10.22111/IJFS.2021.6277
D. Jocic, I. Štajner-Papuga
{"title":"(2006-5936) Distributivity laws for quasi-linear means","authors":"D. Jocic, I. Štajner-Papuga","doi":"10.22111/IJFS.2021.6277","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6277","url":null,"abstract":"Aggregation operations play a fundamental role in a large number of disciplines, from mathematics and natural sciences to economics and social sciences. This paper is focused on the problem of distributivity for some special classes ofaggregation operations, and quasi-linear means. Characterization of distributivity pairs for uninorms, semi-uninorms and associative a-CAOA vs quasi-linear means is given.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"54 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73506265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
(2010-6217) Solvability of fuzzy fractional stochastic Pantograph differential system (2010-6217)模糊分数阶随机受电弓微分系统的可解性
IF 1.8 4区 数学
Iranian Journal of Fuzzy Systems Pub Date : 2021-08-13 DOI: 10.22111/IJFS.2021.6280
J. Priyadharsini, P. Balasubramaniam
{"title":"(2010-6217) Solvability of fuzzy fractional stochastic Pantograph differential system","authors":"J. Priyadharsini, P. Balasubramaniam","doi":"10.22111/IJFS.2021.6280","DOIUrl":"https://doi.org/10.22111/IJFS.2021.6280","url":null,"abstract":"In this paper, a new type of equation namely fuzzy fractional stochastic Pantograph delay differential system (FSPDDS) is proposed. In our previous work, a first extension of fuzzy stochastic differential system into fuzzy fractional stochasticdifferential system by using Granular differentiability has been established. Here we study the existence and uniqueness results for the fuzzy FSPDDS which are obtained by using generalized Granular differentiability and contraction principlewith weaker conditions. This kind of equation is used in many real world problems. Finally, we provide two numerical examples for the effectiveness of the theoretical results.","PeriodicalId":54920,"journal":{"name":"Iranian Journal of Fuzzy Systems","volume":"62 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74316409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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