{"title":"FCA-BASED RULE GENERATOR, a framework for the genetic generation of fuzzy classification systems using formal concept analysis","authors":"M. E. Cintra, M. C. Monard, H. Camargo","doi":"10.1109/FUZZ-IEEE.2015.7337950","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337950","url":null,"abstract":"There is a number of frameworks for the general task of classification available for free usage on the Internet. However, software to generate fuzzy classification systems using the genetic approach is scarce. In this work, we present the FCABASED RULE GENERATOR framework to automatically generate fuzzy classification systems based on a genetic rule selection process. Such rules are extracted from data using a formal concept analysis approach. The FCA-BASED RULE GENERATOR framework includes modules for dataset preprocessing, automatic definition of fuzzy data bases from data, dataset optimization, a module based on formal concept analysis for rule extraction, a genetic algorithm module, as well as a rule base optimization module. The software is described and an example of use is presented.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129607476","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}
Anh‐Tu Nguyen, T. Laurain, J. Lauber, C. Sentouh, J. Popieul
{"title":"Non-quadratic approach for control design of constrained Takagi-Sugeno fuzzy systems subject to persistent disturbances","authors":"Anh‐Tu Nguyen, T. Laurain, J. Lauber, C. Sentouh, J. Popieul","doi":"10.1109/FUZZ-IEEE.2015.7337952","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337952","url":null,"abstract":"This paper is devoted to the development of a new saturated control law for constrained Takagi-Sugeno fuzzy systems. These systems are subject to both control input and state constraints and also persistent disturbances bounded in amplitude. The design procedure is formulated through linear matrix inequalities (LMIs) form which can be solved by means of convex optimization techniques. Based on the concept of robust invariant set in non-quadratic Lyapunov control framework, the proposed method provides a characterization of the closed-loop domain of attraction. Numerical example is given to demonstrate the interests of the proposed methodology.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124653858","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}
{"title":"Energy efficient task scheduling with Type-2 fuzzy uncertainty","authors":"Amit K. Shukla, Rahul Nath, Pranab K. Muhuri","doi":"10.1109/FUZZ-IEEE.2015.7338103","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7338103","url":null,"abstract":"In this paper, we have reported a new approach for employing the non dominated sorting genetic algorithm-II (NSGA-II) with the type-2 fuzzy sets in optimizing energy in real-time embedded systems. The multi-objective problem of energy efficiency and timeliness of tasks has been extensively studied. Little variations in the task timing parameters produce considerable variations in the results of the critical real-time computations. Importantly, at the system designing phase these timing parameters are completely unquantifiable. We therefore propose here a new algorithm for real-time scheduling in type-2 fuzzy uncertain domains. We have included comparative results obtained from models with crisp timing parameters and their fuzzy type-1 and type-2 counterparts. From the observations of the outcome, it is found that model with crisp timing parameters gives the worst result as energy consumption in the system is maximum at a constant earliness. The crisp model is outperformed by both fuzzy type-1 and type-2 models and ensures significant reductions in energy consumption. Whereas fuzzy type-2 model overwhelms both fuzzy type-1 and crisp model in ensuring task completions with maximum earliness. Suitable numerical examples are included to demonstrate our proposed approach.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124799209","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}
{"title":"Note to semantical interpretation of non-trivial syllogisms with intermediate quantifiers","authors":"Petra Murinová, V. Novák","doi":"10.1109/FUZZ-IEEE.2015.7338046","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7338046","url":null,"abstract":"This paper is a contribution to the study of a special kind of syllogisms with intermediate quantifiers. We stem from our previous papers where a formal theory of the intermediate quantifiers was introduced. Besides other results, we syntactically proved validity of 105 basic syllogisms with them. We also demonstrated how our theory works in the semantic interpretation. In this paper, we will address some special kinds of syllogisms that are non-trivial in the sense that both premises as well as conclusion contain general intermediate quantifiers.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122341791","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}
{"title":"An incremental interval Type-2 neural fuzzy Classifier","authors":"Mahardhika Pratama, Jie Lu, Guangquan Zhang","doi":"10.1109/FUZZ-IEEE.2015.7337801","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337801","url":null,"abstract":"Most real world classification problems involve a high degree of uncertainty, unsolved by a traditional type-1 fuzzy classifier. In this paper, a novel interval type-2 classifier, namely Evolving Type-2 Classifier (eT2Class), is proposed. The eT2Class features a flexible working principle built upon a fully sequential and local working principle. This learning notion allows eT2Class to automatically grow, adapt, prune, recall its knowledge from data streams in the single-pass learning fashion, while employing loosely coupled fuzzy sub-models. In addition, eT2Class introduces a generalized interval type-2 fuzzy neural network architecture, where a multivariate Gaussian function with uncertain non-diagonal covariance matrixes constructs the rule premise, while the rule consequent is crafted by a local non-linear Chebyshev polynomial. The efficacy of eT2Class is numerically validated by numerical studies with four data streams characterizing non-stationary behaviors, where eT2Class demonstrates the most encouraging learning performance in achieving a tradeoff between accuracy and complexity.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116440495","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}
{"title":"A bipolar approach for intuitionistic fuzzy alternative ranking","authors":"Nouredine Tamani","doi":"10.1109/FUZZ-IEEE.2015.7337830","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337830","url":null,"abstract":"Ranking intuitionistic fuzzy alternatives has been widely studied by Szmidt and Kacprzyk in many work. The lake of a linear order amongst elements of intuitionistic fuzzy alternative sets, as stated in [1], oriented the researches to the definition of aggregation methods measuring the distance of each alternative to the best element of an intuitionistic fuzzy set. However, in some real applications such as raking possible items or alternatives according to positive and negative ratings, expressing respectively the satisfaction and dissatisfaction of some buyers in e-commerce applications, the distance may deliver some counter-intuitive results from the user's standpoint. Therefore, by considering intuitionistic fuzzy alternatives as particular fuzzy bipolar sets, we introduce in this paper an intuitionistic bipolar approach for alternative ranking, based on (i) two intuitionistic preference relations, namely intuitionistic more preferred than or equal to (denoted by equation) and intuitionistic less preferred than or equal to (denoted by equation), each of which is a linear order, which can be used to rank bipolar alternatives attached with both degrees of acceptance (membership) and rejection (non-membership), and on (ii) two algebraic operators called Intuitionistic minimum, denoted by Imin, and Intuitionistic maximum, denoted by Imax, to compute respectively the intersection and the union of intuitionistic fuzzy bipolar alternative sets.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126094620","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}
{"title":"An Internal Model Control based design method for Single input Fuzzy PID controllers","authors":"A. Var, T. Kumbasar, E. Yesil","doi":"10.1109/FUZZ-IEEE.2015.7337918","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337918","url":null,"abstract":"In this paper, the analytic formulation of the single input Fuzzy PID (FPID) controller output is derived to present an Internal Model Control (IMC) based design method. In this context, we have firstly derived the input- output relationship of the fuzzy controller and investigated the effect of the membership function (MF) parameters on the output of the Single input FPID (SFPID). Based the presented observations, design guidelines are presented on how to tune MF parameters of the controller to obtain aggressive and smooth control actions. Moreover, we have derived the analytic formulation of the SFPID controller output. It has been shown that the output formulation is analogous to the Conventional FPID (CFPID) and the PID controller ones. Moreover, we have also shown that the SFPID controller can be seen as combination of a PID controller and nonlinear compensation term. Thus, we have used this analytical information to employ the well-known IMC based design method to tune the design parameters of the SFPID structure. Comparative simulation results have been conducted on a benchmark nonlinear system to show that the SFPID improved the transient state performance while providing an identical disturbance rejection performance of the CFPID structure.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127873387","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}
{"title":"Application of Fuzzy Cognitive Maps to water demand prediction","authors":"E. Papageorgiou, Katarzyna Poczeta, C. Laspidou","doi":"10.1109/FUZZ-IEEE.2015.7337973","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337973","url":null,"abstract":"This article is focused on the issue of learning of Fuzzy Cognitive Maps designed to model and predict time series. The multi-step supervised-learning based-on-gradient methods as well as population-based learning, with the use of real coded genetic algorithms, are described. In this study, a new structure optimization genetic algorithm for fuzzy cognitive maps learning is proposed for automatic construction of FCM applied to time series prediction. The proposed learning methodologies are based on an FCM reconstruction procedure using historical time series. The main contribution of this study is the analysis of the use of FCMs with their learning algorithms based on the multi-step gradient method (MGM) and other population-based methods to predict water demand. The performance of learning algorithms is presented through the analysis of real data of daily water demand and the corresponding prediction. The multivariate analysis of historical water demand data is held for five variables, mean and high temperature, precipitation, wind speed and touristic activity. Simulation results were obtained with the ISEMK (Intelligent Expert System based on Cognitive Maps) software tool. Through the experimental analysis, we demonstrate the usefulness of the new proposed FCM learning algorithm in water demand prediction, by calculating the known prediction errors. The advantage of the optimization genetic algorithm structure is its ability to select the most significant relations between concepts for prediction.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"25 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133622875","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}
S. Salahshour, A. Ahmadian, Chee Seng Chan, D. Baleanu
{"title":"Toward the existence of solutions of fractional sequential differential equations with uncertainty","authors":"S. Salahshour, A. Ahmadian, Chee Seng Chan, D. Baleanu","doi":"10.1109/FUZZ-IEEE.2015.7338013","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7338013","url":null,"abstract":"The main study of this paper is focused on the solutions of a class of fuzzy sequential fractional differential equations in the form of (<sub>0</sub>D<sub>x</sub><sup>β</sup>y)'(x) = b(x)y(x), where (<sub>0</sub>D<sub>x</sub><sup>β</sup>y)(x) is the fuzzy Riemann-Liouville derivative of order β ∈ (0, 1). On this subject, a new fuzzy complete metric space is introduced. Finally, we proof the existence and uniqueness of our solution using the contraction principle.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128406899","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}
{"title":"An approach to measure “the consensus degree of a purpose” on a group decision making","authors":"M. Ohki","doi":"10.1109/FUZZ-IEEE.2015.7337825","DOIUrl":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337825","url":null,"abstract":"This paper proposes to measure of the consensus degree of a purpose in a group decision making on a business. A group demonstrates big capability if a purpose of the group is agreed from the members. If we have the measure of the consensus degree of a purpose in a group decision making, then it contributes to activation and increase in efficiency of organizations greatly. The bosses and leaders can measure working efficiency using the consensus degree of a purpose. I proposed the “distance-adjusted covariates method” for group decision making analysis[1]. This method can categorize group to 4 areas using “VDI (Variety Dispersion Index)” and “ranking values”. These are defined in this method. In this paper, I show that the VDI expresses the consensus degree of a purpose in a group decision making. A business simulation game is used as a practical scene of an experiment in this paper. It can make a practical scene of a business. This paper aims to show that the proposed method can analyze in detail a group's behavior on practical scene of business using VDI and ranking values. As a result, the signs that the group's purpose going in agreement were evaluated by the VDI. And it could analyze a group's behavior using the ranking values.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132016977","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}