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Linear programming with Triangular Intuitionistic Fuzzy Number 具有三角直觉模糊数的线性规划
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.78
D. Dubey, A. Mehra
{"title":"Linear programming with Triangular Intuitionistic Fuzzy Number","authors":"D. Dubey, A. Mehra","doi":"10.2991/eusflat.2011.78","DOIUrl":"https://doi.org/10.2991/eusflat.2011.78","url":null,"abstract":"This paper presents an approach based on value and ambiguity indexes defined in [1] to solve linear programming problems with data as triangular intuitionistic fuzzy numbers.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126605685","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: 96
An axiomatic definition of divergence for intuitionistic fuzzy sets 直觉模糊集散度的公理化定义
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.38
Ignacio Montes, Vladimír Janiš, S. Montes
{"title":"An axiomatic definition of divergence for intuitionistic fuzzy sets","authors":"Ignacio Montes, Vladimír Janiš, S. Montes","doi":"10.2991/eusflat.2011.38","DOIUrl":"https://doi.org/10.2991/eusflat.2011.38","url":null,"abstract":"An axiomatic definition of divergence measure for intuitionistic fuzzy sets (IFSs, for short) is presented in this work, as a particular case of dissimilarity between IFSs. As the concept of divergence measure is more restrictive, it has particular properties which are studied. Furthermore, the relationships among IF-divergences, dissimilarities and distances are studied. We also provide some methods for building divergence measure for IFSs. They will allow us to conclude this work with a classification of the usual functions used in the literature for measuring the dierence between intuitionistic fuzzy sets in two classes: which are divergence measures between IFSs and which are not.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114487220","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: 11
On Convergence of Fuzzy Integrals over Complete Residuated Lattices 模糊积分在完全残差格上的收敛性
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.68
A. Dvořák, M. Holčapek
{"title":"On Convergence of Fuzzy Integrals over Complete Residuated Lattices","authors":"A. Dvořák, M. Holčapek","doi":"10.2991/eusflat.2011.68","DOIUrl":"https://doi.org/10.2991/eusflat.2011.68","url":null,"abstract":"Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type ⟨1, 1⟩ fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results on strong and pointwise convergence of these fuzzy integrals, where the operation of the biresiduum is used to establish the measurement how close two elements of a residuated lattice are.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114863723","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
A numerical distance based on fuzzy partitions 基于模糊划分的数值距离
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/EUSFLAT.2011.99
S. Guillaume, B. Charnomordic, P. Loisel
{"title":"A numerical distance based on fuzzy partitions","authors":"S. Guillaume, B. Charnomordic, P. Loisel","doi":"10.2991/EUSFLAT.2011.99","DOIUrl":"https://doi.org/10.2991/EUSFLAT.2011.99","url":null,"abstract":"This work studies a new distance function which takes into account expert knowledge by making use of fuzzy partitions. It considers the symbolic distances between concepts and is equivalent to the Euclidean distance for regular partitions made of triangular membership functions. Its behaviour is investigated in comparison with that of the Euclidean distance and its interest is shown for clustering applications.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124196366","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: 3
Monotonicity of fuzzy rule bases: On differences between graded and non-graded approaches 模糊规则库的单调性:分级与非分级方法的区别
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.31
M. Daňková, M. Štěpnička, B. Baets
{"title":"Monotonicity of fuzzy rule bases: On differences between graded and non-graded approaches","authors":"M. Daňková, M. Štěpnička, B. Baets","doi":"10.2991/eusflat.2011.31","DOIUrl":"https://doi.org/10.2991/eusflat.2011.31","url":null,"abstract":"This contribution provides an exhaustive explanation of the graded approach to the monotonicity property (of a fuzzy relation) and its non-graded version. Our framework is algebraic. We present a wide variety of examples to support our claims relating to the well defined notion and suitability for fuzzy rule base applications and moreover, to improve the readability of the following mathematical formulae.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121582349","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
Closing and Opening based on discrete t-norms. Applications to natural Image Analysis 基于离散t模的关闭和打开。应用于自然图像分析
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.107
Manuel González Hidalgo, S. Massanet
{"title":"Closing and Opening based on discrete t-norms. Applications to natural Image Analysis","authors":"Manuel González Hidalgo, S. Massanet","doi":"10.2991/eusflat.2011.107","DOIUrl":"https://doi.org/10.2991/eusflat.2011.107","url":null,"abstract":"This paper delves deeply into the recently introduced mathematical morphology based on discrete t-norms. Closing and opening operators and the concepts of open and closed objects are introduced. All the properties satisfied by nilpotent t-norms, even the generalized idempotence, hold too. After that, some experimental results, using comparative measures, on edge detection are showed. Some experimental results concerning the Top-Hat transformations and the basic filters built from the opening and closing operators are presented. Top-Hat experiments are compared with those obtained with the umbra approach, nilpotent t-norms and uninorms, proving that the discrete approach provides notable results. Moreover, different objective measures are used in order to evaluate the filtered results depending on the amount of noise in the image.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115044090","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: 6
Fuzzy implications defined on the set of discrete fuzzy numbers 定义在离散模糊数集合上的模糊含义
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.97
J. V. Riera, J. Torrens
{"title":"Fuzzy implications defined on the set of discrete fuzzy numbers","authors":"J. V. Riera, J. Torrens","doi":"10.2991/eusflat.2011.97","DOIUrl":"https://doi.org/10.2991/eusflat.2011.97","url":null,"abstract":"Given an implication function I defined on the finite chain L = {0,...,n}, a method for extending I to the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L (denoted by A L ) is given. The resulting extension is in fact a fuzzy implication on A L preserving some boundary properties. Moreover, if the initial implication I is an S, QL or D-implication on L then its extension is also an S, QL or D-implication on A L , respectively.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"2004 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129610205","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: 7
Language, Thinking, Meaning-and Fuzzy Logic 语言、思维、意义——与模糊逻辑
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.64
R. Seising
{"title":"Language, Thinking, Meaning-and Fuzzy Logic","authors":"R. Seising","doi":"10.2991/eusflat.2011.64","DOIUrl":"https://doi.org/10.2991/eusflat.2011.64","url":null,"abstract":"In this paper we associate the three concepts of language, thinking, and meaning with Fuzzy Sets and Systems and Fuzzy Logic. We present some developments in 20 th century history of science and of humanities that s how deep links between these concepts and we give a proposal for a fuzzy theoretical interpretation of what is meaning.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127482481","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
On-line Redundancy Elimination in Evolving Fuzzy Regression Models using a Fuzzy Inclusion Measure 基于模糊包含测度的演化模糊回归模型在线冗余消除
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.51
E. Lughofer, E. Hüllermeier
{"title":"On-line Redundancy Elimination in Evolving Fuzzy Regression Models using a Fuzzy Inclusion Measure","authors":"E. Lughofer, E. Hüllermeier","doi":"10.2991/eusflat.2011.51","DOIUrl":"https://doi.org/10.2991/eusflat.2011.51","url":null,"abstract":"This paper tackles the problem of complexity reduction in evolving fuzzy regression models of the Takagi-Sugeno type. The incremental model adaptation process used to evolve such models over time, often produces redundancies such as overlapping rule antecedents. We propose the use of a fuzzy inclusion measure in order to detect such redundancies as well as a procedure for merging rules that are suciently similar. Experimental studies with two high-dimensional real-world data sets provide evidence for the eectiveness of our approach; it turns out that a reduction in complexity is even accompanied by an increase in predictive accuracy.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125578320","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: 18
On extension of fuzzy measures to aggregation functions 模糊测度在聚集函数中的推广
EUSFLAT Conf. Pub Date : 2011-08-06 DOI: 10.2991/eusflat.2011.11
A. Kolesárová, A. Stupňanová, Juliana Beganová
{"title":"On extension of fuzzy measures to aggregation functions","authors":"A. Kolesárová, A. Stupňanová, Juliana Beganová","doi":"10.2991/eusflat.2011.11","DOIUrl":"https://doi.org/10.2991/eusflat.2011.11","url":null,"abstract":"In the paper we study a method extending fuzzy measures on the set N = {1, . . . , n} to n-ary aggregation functions on the interval [0, 1]. The method is based on a fixed suitable n-ary aggregation function and the Mobius transform of the considered fuzzy measure. This approach generalizes the wellknown Lovasz and Owen extensions of fuzzy measures. We focus our attention on the special class of n-dimensional Archimedean quasi-copulas and prove characterization of all suitable n-dimensional Archimedean quasi-copulas. We also present a special universal extension method based on a suitable associative binary aggregation function. Several examples are included.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134202396","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: 2
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