Filters








31,732 Hits in 2.3 sec

Similarity and Fuzzy Tolerance Spaces

R. Belohlavek
2004 Journal of Logic and Computation  
The paper studies tolerance relations from the point of view of fuzzy logic and fuzzy set theory.  ...  Particularly, we focus on the study of natural groupings induced by a fuzzy tolerance, relations induced by fuzzy tolerances, representational issues, and an algorithm for generating all fuzzy tolerance  ...  Introduction: similarity and fuzzy tolerances Similarity is perhaps the most important phenomenon accompanying human perception and reasoning.  ... 
doi:10.1093/logcom/14.6.827 fatcat:kh6sgblbgzbq3ototlnmbuw7pm

Reasoning with Non-Numeric Linguistic Variables

Jon Williams, Nigel Steele, Helen Robinson
2002 Journal of Computing and Information Technology  
A homomorphism between tolerance spaces, filter bases and fuzzy numbers is shown. A proposal for modeling linguistic terms with an ordered set of fuzzy numbers is introduced.  ...  Similarity as a function of "distance" between fuzzy numbers treated as tolerance mappings is used as an inference mechanism in sparse rule bases to give linguistically valued outputs.  ...  numbers, filter bases and tolerance spaces.  ... 
doi:10.2498/cit.2002.04.02 fatcat:caqbtptnibabfnbcdmt3nxujcy

On nearness measures in fuzzy relational data models

Elke A. Rundensteiner, Lois W. Hawkes, Wyllis Bandler
1989 International Journal of Approximate Reasoning  
The unnaturalness and impracticality of these measures leads to the development of a new measure: the resemblance relation, which is defined to be a fuzzified version of a tolerance relation.  ...  Varying approaches concerning the fuzzification of the concept of a relation are possible, two of which are referred to in this article as the generalized fuzzy approach and the fuzzy-set relation approach  ...  We are also grateful to the reviewers for their helpful comments and constructive suggestions.  ... 
doi:10.1016/0888-613x(89)90019-4 fatcat:jqx654eezvh6do6wjbofkknlj4

Fuzzy Modelling for Early Architectural Design

Alexander Koutamanis
2007 International Journal of Architectural Computing  
indicates low tolerance: a rigid object) and external constraints, such as the character of an element (e.g. use spaces are harder than horizontal circulation spaces and load-bearing elements are harder  ...  In the example of Figure 14 and Figure 16 a schematic floor plan comprising several use spaces, a corridor and a staircase is represented by fuzzy forms with different tolerances derived from the designer's  ... 
doi:10.1260/147807707783600816 fatcat:h3wqc75jjnbh7cy6ybiihukmby

Interval type-2 Beta Fuzzy Near set based approach to content based image retrieval [article]

Yosr Ghozzi, Nesrine Baklouti, Hani Hagras, Mounir Ben Ayed, Adel M. Alimi
2018 arXiv   pre-print
near and fuzzy sets approaches.  ...  In an automated search system, similarity is a key concept in solving a human task.  ...  ACKNOWLEDGEMENT The research leading to these results has received funding from the Ministry of Higher Education and Scientific Research of Tunisia under the grant agreement number LR11ES48.  ... 
arXiv:1812.07098v1 fatcat:byabp7j4kbf3na4ktdripvtowe

Nature-inspired framework for measuring visual image resemblance: A near rough set approach

Sheela Ramanna, Amir H. Meghdadi, James F. Peters
2011 Theoretical Computer Science  
Pseudometrics, in general, and fuzzy pseudometrics, in particular, are useful in measuring the distance between pairs of objects such as sets.  ...  This is accomplished via a near rough set framework in the approximation of a pair of disjoint sets and measurement of distances between sets using various fuzzy pseudometrics.  ...  This research has been supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) research grants 185986 and 194376, Manitoba Centre of Excellence Fund (MCEF) grant, Canadian  ... 
doi:10.1016/j.tcs.2011.05.044 fatcat:6cbcodbulbcxfdhps7yo5gnxe4

Fuzzy tolerance quotient spaces and fuzzy subsets

Ling Zhang, Bo Zhang
2010 Science China Information Sciences  
First, the equivalence relation based quotient space theory is extended to the fuzzy tolerance relation. Second, the isomorphism and its discriminant of fuzzy tolerance relations are discussed.  ...  The structure and characteristic of fuzzy subsets are discussed by using the concepts of granulation and hierarchy in quotient space theory.  ...  So the fuzzy tolerance relation that we will discuss is the extension of the fuzzy similarity relation that Zadeh defined.  ... 
doi:10.1007/s11432-010-0076-y fatcat:6lpfdijcz5f4tkkidwb2xzhkue

Fuzzy Extractors: How to Generate Strong Keys from Biometrics and Other Noisy Data [chapter]

Yevgeniy Dodis, Leonid Reyzin, Adam Smith
2004 Lecture Notes in Computer Science  
We propose two primitives: a fuzzy extractor extracts nearly uniform randomness R from its biometric input; the extraction is error-tolerant in the sense that R will be the same even if the input changes  ...  We provide formal definitions and efficient secure techniques for turning biometric information into keys usable for any cryptographic application, and reliably and securely authenticating biometric data  ...  Acknowledgements We thank Piotr Indyk for discussions about embeddings and for his help in the proof of Lemma 8.  ... 
doi:10.1007/978-3-540-24676-3_31 fatcat:qxcx2mtmdfbxnbzzbj7inwce3e

Research on the Generalized Decision Reducts and the Acquisition of Optimal Decision Rules in Generalized Decision Information System

Chen Keming, Zheng Jian-guo, Li Kang, Deng Li
2015 Open Automation and Control Systems Journal  
ROUGH SET THEORY WITH OTHER MATHE-MATIC THEORIES Fuzzy set and rough set both are generalizations of classical set.  ...  In view of "knowledge granularity", fuzzy set de- © Keming et al.; Licensee Bentham Open This is an open access article licensed under the terms of the (https://creativecommons.org/licenses/by/4.0/legalcode  ...  Both fuzzy sets and rough sets are generalizations of classical sets. This section summarizes the similarity measures of classical sets and fuzzy sets firstly.  ... 
doi:10.2174/1874444301507011470 fatcat:vcxwbmx6xbeirbymhj3azl32nm

Emphatic Constraints Support Vector Machine

Mostafa Sabzekar, Hadi Sadoghi Yazdi, Mahmoud Naghibzadeh, Sohrab Effati
2010 International Journal of Computer and Electrical Engineering  
The constraints are fuzzy inequalities. With this scheme, two problems are solved: training samples with some degree of uncertainty, and samples with tolerance.  ...  ESVM and fuzzy ESVM are strongly recommended to the researchers who work on data sets with noisy or low degree of certainty samples.  ...  Similar to ESVM, we can extend our fuzzy ESVM to nonlinear separable case as subject to the constraints The role of the parameters d i and α is similar to ESVM.  ... 
doi:10.7763/ijcee.2010.v2.152 fatcat:tpziw5iisjaw7bqr5tr7kyx6fy

Multi-granulation fuzzy rough set model on tolerance relations

Weihua Xu, Qiaorong Wang, Xiantao Zhang
2011 The Fourth International Workshop on Advanced Computational Intelligence  
fuzzy rough sets on tolerance relations.  ...  The fuzzy rough set model and rough set model on a tolerance relation are special cases of the new one from the perspective of the considered concepts and granular computing.  ...  Dubois and Prade proposed concepts of rough fuzzy sets and fuzzy rough sets based on approximations of fuzzy sets by crisp approximations spaces, and crisp sets by fuzzy approximation spaces, respectively  ... 
doi:10.1109/iwaci.2011.6160031 fatcat:ki2yfs7uzzcc5ix5c4elqhi3me

Soft fault detection and isolation in analog circuits: some results and a comparison between a fuzzy approach and radial basis function networks

M. Catelani, A. Fort
2002 IEEE Transactions on Instrumentation and Measurement  
The suggested classifiers have similar structures.  ...  The fuzzy approach provides better results due to an efficient generation method for the IF-THEN rules that allows adding IF parts in the input space regions where ambiguity occurs.  ...  TABLE I COMPONENT I VALUES AND TOLERANCE RANGES FOR THE COMPONENT OF THE CIRCUIT SHOWN IN TABLE II CLASSIFICATION II ERRORS OBTAINED WITH FUZZY CLASSIFIER AND GRID PARTITION OF THE INPUT SPACE (FGP);  ... 
doi:10.1109/19.997811 fatcat:6464vqln3jgt3l53eyunwuntfa

Foreword: Special issue on fuzzy expert systems

I. Burhan Türksen, Hideo Tanaka, Junzo Watada
1993 International Journal of Approximate Reasoning  
In "Consistency Checking for Fuzzy Expert Systems," Leung and So introduce an affinity measure based on a similarity measure and apply this measure for consistency checking in mixed fuzzy and non-fuzzy  ...  The method is extended to multi-dimensional spaces.  ... 
doi:10.1016/0888-613x(93)90008-2 fatcat:p4ixo7xovfhtxntqlm5cydw65m

Granular Computing in the Information Transformation of Pattern Recognition

Hong Hu, Zhongzhi Shi
2007 2007 IEEE International Conference on Granular Computing (GRC 2007)  
Many GrC researches are based on equivalence relation or more generally tolerance relation, equivalence relation or tolerance relation can be described by some distance functions and GrC can be geometrically  ...  The information similarity is the main point in the original insight of Granular Computing (GrC) proposed by Zadeh(1997[1]).  ...  space into nonoverlapping covering and a tolerance relation will create overlapping covering of this space.  ... 
doi:10.1109/grc.2007.42 dblp:conf/grc/HuS07 fatcat:roakaapngnc5lir2gbsro6lsqq

Granular Computing in the Information Transformation of Pattern Recognition

Hong Hu, Zhongzhi Shi
2007 2007 IEEE International Conference on Granular Computing (GRC 2007)  
Many GrC researches are based on equivalence relation or more generally tolerance relation, equivalence relation or tolerance relation can be described by some distance functions and GrC can be geometrically  ...  The information similarity is the main point in the original insight of Granular Computing (GrC) proposed by Zadeh(1997[1]).  ...  space into nonoverlapping covering and a tolerance relation will create overlapping covering of this space.  ... 
doi:10.1109/grc.2007.4403062 fatcat:kd33nbd7zbdedohiqffygqnvu4
« Previous Showing results 1 — 15 out of 31,732 results