{"title":"Interdependent multiobjective control using Biased Neural Network (Biased NN)","authors":"Hwan-Chun Myung, Z. Bien","doi":"10.1109/NAFIPS.2001.943750","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.943750","url":null,"abstract":"A Biased Neural Network (Biased-NN) is proposed to solve an interdependent multiobjective control problem. The main idea of the Biased-NN stems from a decoupled fuzzy sliding mode control scheme that provides a simple way to achieve asymptotic stability for a class of decoupled systems. Each neuron in the Biased-NN is used to approximate a sign function in order to replace the sliding mode control structure with the Biased-NN. Such a feature is useful for handling the interdependent multiobjective control problem based upon the proposed supporting strategy. While previous works require a priori knowledge for all the objectives, the proposed method uses only expert knowledge of the objective that is considered the main concern. Simulations are conducted to show the effectiveness of the Biased-NN.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115659578","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":"Granular structures: the perspective of knowledge representation","authors":"W. Homenda","doi":"10.1109/NAFIPS.2001.943804","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.943804","url":null,"abstract":"The paper deals with granularity of knowledge representation. The subject is studied on the basis of representation of music notation. Music notation is a language allowing for communication in music, one of the most sophisticated field of human activity, and has high level of complexity itself. On one hand, music notation symbols vary in size and have complex shapes; they often touch and overlap each other. On the other hand, music notation is a two dimensional language in which importance of geometrical and logical relations between its symbols may be compared to the importance of the symbols alone. Thus, computer representation of music is the first and perhaps one of the set of most important issues in music processing and music software specifically. Music knowledge, despite that is complicated and flexible, is highly structured and seems to fit perfectly paradigm of granular knowledge structuring. Granularity of music data representation is especially emphasised.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124401003","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":"On the use of fuzzy numbers in flexible querying","authors":"D. Rocacher","doi":"10.1109/NAFIPS.2001.944455","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.944455","url":null,"abstract":"An issue in extending database management functionalities is to increase the expressiveness of query languages. Flexible querying enables users to express preferences inside requirements and priorities inside compound queries. The answers are then qualified and sorted out. The fuzzy set theory offers a general framework for dealing with flexible queries. Moreover, the bag structure plays an important role in databases. Systems taking into account both flexible queries and bags introduce a new concept: fuzzy bags. A new approach of this concept, based on the notion of fuzzy cardinality, is presented in this paper. The use of fuzzy bags and fuzzy cardinalities in flexible querying is also introduced.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116675799","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 multicriteria decision making framework in ordinal context based on Sugeno integral","authors":"M. Grabisch, S. Dia, C. Labreuche","doi":"10.1109/NAFIPS.2001.944739","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.944739","url":null,"abstract":"The paper presents a construction of a multicriteria decision model in a purely ordinal context, based on the use of Sugeno integral. The construction is built on the preference relation of the decision maker over a set of prototypical acts. The construction can cope also with negative scores, due to the introduction of a symmetric ordinal scale with suitable operators, which leads to the concept of symmetric Sugeno integral.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117050463","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}
A. Várkonyi-Kóczy, K. Lei, Masashi Sugiyama, H. Asai
{"title":"Complexity reduction to non-singleton fuzzy-neural network","authors":"A. Várkonyi-Kóczy, K. Lei, Masashi Sugiyama, H. Asai","doi":"10.1109/NAFIPS.2001.943619","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.943619","url":null,"abstract":"A singular value decomposition (SVD) based reduction technique has been proposed for a singleton-based fuzzy neural network. In fuzzy theory, the use of the non-singleton consequent-based Takagi-Sugeno model is also adopted. By applying a non-singleton-based fuzzy model to fuzzy neural networks, a non-singleton-based network is obtained. The main objective of this work is to extend the SVD-based reduction technique that has been proposed for fuzzy neural networks to non-singleton-based networks.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117056951","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":"How to make sure that \"/spl ap/100\"+1 is /spl ap/100 in fuzzy arithmetic: solution and its (inevitable) drawbacks","authors":"V. Kreinovich, Hung T. Nguyen, W. Pedrycz","doi":"10.1109/NAFIPS.2001.943799","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.943799","url":null,"abstract":"From the common-sense viewpoint, if a person who weighs around 100 kilograms gains one more kilogram, his weight is still around 100 kilograms. Alas, not so in traditional fuzzy arithmetic. In this paper, we propose a modification of fuzzy arithmetic which does have this property. We gain the desired property, but there is no free lunch - we have to lose two important properties of the traditional fuzzy arithmetic: first, addition is no longer always associative; second, addition is no longer always easily computable.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"220 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117171730","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":"Spatial interpolation using conservative fuzzy reasoning","authors":"Kok Wai Wong, Tom Gedeon, P. Wong","doi":"10.1109/NAFIPS.2001.943674","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.943674","url":null,"abstract":"Spatial interpolation is an important feature of a Geographic Information System, which is the procedure used to estimate values at unknown locations within the area covered by existing observations. In this paper, we propose a conservative spatial interpolation technique that incorporates the advantages of local interpolation, Euclidean interpolation, and conservative fuzzy reasoning. The main objective of this paper is to formulate a computationally efficient spatial interpolation technique similar to the IDWA technique that can be used in real time application. The main feature of our spatial interpolation technique is inherited from the concept used in conservative fuzzy interpolation reasoning for interpolating fuzzy rules in sparse fuzzy rule bases. Illustration examples from a rainfall spatial interpolation problem are also used to illustrate the applicability of the proposed technique.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121125188","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":"T-norm based residuated logics-some recent results","authors":"S. Gottwald","doi":"10.1109/NAFIPS.2001.944243","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.944243","url":null,"abstract":"In the intertwined fields of many-valued and fuzzy logic recent years have seen interesting and important developments related to the topic of infinite valued systems which are essentially based on given triangular norms. For adequate axiomatizations of such logics, algebraic semantics have reached central importance. The paper surveys some of the core approaches and results of these developments.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121254073","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":"Fuzzy regression analysis by a fuzzy neural network and its application to dual response optimization","authors":"Chi-Bin Cheng","doi":"10.1109/NAFIPS.2001.943647","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.943647","url":null,"abstract":"Fuzzy regression analysis achieved by a fuzzy radial basis function neural network is discussed in this paper. A fuzzy regression model constructed in such a manner is then applied to a dual-response optimization problem. Fuzzy regression models are ideally suited for dual-response optimization with two advantages: (1) many systems encountered in practice are fuzzy, and (2) fuzzy regression models have dual responses in nature. The dual response optimization problem is formulated as a multiple-objective decision-making program, and an algorithm based on the duality theory is developed to solve this problem. A numerical example is also provided for illustration.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121281287","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":"Fuzzy interpolation with Cartesian representation and extensibility functions","authors":"Y. Yam, L. Kóczy","doi":"10.1109/NAFIPS.2001.943679","DOIUrl":"https://doi.org/10.1109/NAFIPS.2001.943679","url":null,"abstract":"This paper summaries the application of the recently proposed Cartesian representation of membership functions to the problem of fuzzy interpolation. It is shown that under this formulation the problem can be according to whether the observation lies within or outside the antecedent spanning set. For the former, the observation contains the same geometric properties as the given antecedents, and interpolation can be conducted based on the given rules using the extensibility function concept. On the other hand, observation lying outside the antecedent spanning set contains new geometric properties beyond those of the given rules, and heuristic reasoning must therefore be applied. A two step approach with flexibility to accommodate additional criteria and design objectives is presented for this case.","PeriodicalId":227374,"journal":{"name":"Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127154904","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}