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Fuzzy and rough formal concept analysis: a survey

Jonas Poelmans, Dmitry I. Ignatov, Sergei O. Kuznetsov, Guido Dedene
2014 International Journal of General Systems  
Acknowledgements We would like to thank Paul Elzinga for his help in processing of huge amount of text data for building the lattice diagrams. We express our gratitude to Prof.  ...  Dominik Slezak for his patience and willingness to constantly stimulate us during the research.  ...  Formal Concept Analysis FCA essentials Formal Concept Analysis (Ganter and Wille 1999, Wille 1982 ) is a recent mathematical framework that underlies many methods of knowledge discovery and data analysis  ... 
doi:10.1080/03081079.2013.862377 fatcat:cqcuajzkkbhn5ptoh2zqwg644i

Fuzzy-rough approaches for mammographic risk analysis

Neil Mac Parthaláin, Richard Jensen, Qiang Shen, Reyer Zwiggelaar, José-María Peña, Evgenii Evgenii
2010 Intelligent Data Analysis  
In the unified approach detailed here feature selection methods are employed for dimensionality reduction developed using rough sets and fuzzy-rough sets.  ...  The accuracy of methods for the assessment of mammographic risk analysis is heavily related to breast tissue characteristics.  ...  Acknowledgements The authors wish to thank both the referees and the editor for their invaluable advice in revising this paper.  ... 
doi:10.3233/ida-2010-0418 fatcat:6lmsjhdqtrhjfjbw6jbkc7ue4i

Fuzzy-based propagation of prior knowledge to improve large-scale image analysis pipelines

Johannes Stegmaier, Ralf Mikut, Thomas Abraham
2017 PLoS ONE  
We present a new concept for the estimation and propagation of uncertainty involved in image analysis operators.  ...  The general concept introduced in this contribution represents a new approach to efficiently exploit prior knowledge to improve the result quality of image analysis pipelines.  ...  Methods Uncertainty propagation in image analysis pipelines The image analysis pipeline concept.  ... 
doi:10.1371/journal.pone.0187535 pmid:29095927 pmcid:PMC5667823 fatcat:h77sztd6gveipmuop2xpuz345q

Propagating and Aggregating Fuzzy Polarities for Concept-Level Sentiment Analysis

Mauro Dragoni, Andrea G. B. Tettamanzi, Célia da Costa Pereira
2014 Cognitive Computation  
In this paper, we explore the use of fuzzy logic for modeling concept polarities, and the uncertainty associated with them, with respect to different domains.  ...  An emerging field within sentiment analysis concerns the investigation about how sentiment polarities associated with concepts have to be adapted with respect to the different domains in which they are  ...  By formalizing the sentiment analysis problem, a "sentiment" or "opinion" has been defined by [2] as a quintuple: o j , f jk , so ijkl , h i , t l , (1) where o j is a target object, f jk is a feature  ... 
doi:10.1007/s12559-014-9308-6 fatcat:iaomlxs44jae7ofpfy2hvvb2me

Structuring the Calibration of Qualitative Data as Sets for Qualitative Comparative Analysis (QCA)

Xavier Basurto, Johanna Speer
2012 Field Methods  
By spelling out the details of this important analytic step, the authors aim at contributing to the growing literature on best practice in QCA.  ...  For such studies, qualitative interview data are often the primary source of information. Yet, so far no procedure is available describing how to calibrate qualitative data as fuzzy sets.  ...  Author names in alphabetical order express equal contribution to this piece.  ... 
doi:10.1177/1525822x11433998 fatcat:rujj3lfsxvc3xa27ljt6rxpeu4

Structuring the Calibration of Qualitative Data as Sets for Qualitative Comparative Analysis (QCA)

Johanna Speer, Xavier Basurto
2010 Social Science Research Network  
By spelling out the details of this important analytic step, the authors aim at contributing to the growing literature on best practice in QCA.  ...  For such studies, qualitative interview data are often the primary source of information. Yet, so far no procedure is available describing how to calibrate qualitative data as fuzzy sets.  ...  Author names in alphabetical order express equal contribution to this piece.  ... 
doi:10.2139/ssrn.1831606 fatcat:64ldozysbrabxdurhamzj3yldy

A Fuzzy-Set Qualitative Comparative Analysis of Publications on the Fuzzy Sets Theory

Fernando Castelló-Sirvent
2022 Mathematics  
A model of analysis of successful strategies in academic influence is proposed. The model is tested with a configurational methodology through fuzzy-set Qualitative Comparative Analysis (fsQCA).  ...  In recent decades, scholars specializing in fuzzy theory and applied methodologies have experienced an unprecedented evolution of the field.  ...  The analysis of the Fuzzy Sets Theory and the algorithms has developed the interest of academics on the operators of the models and hierarchical methods, such as AHP or the fuzzy-soft-set variant.  ... 
doi:10.3390/math10081322 fatcat:j3rgu4h2gjcijlaosz5exaevai

Nine questions on energy decomposition analysis

Juan Andrés, Paul W. Ayers, Roberto A. Boto, Ramon Carbó-Dorca, Henry Chermette, Jerzy Cioslowski, Julia Contreras-García, David L. Cooper, Gernot Frenking, Carlo Gatti, Farnaz Heidar-Zadeh, Laurent Joubert (+18 others)
2019 Journal of Computational Chemistry  
If so, what is the influence of a community's sociological pressure in the "natural selection" process?  ...  Is there any interest in developing common benchmarks and test sets for cross-validation of methods?  ...  formal mathematical viewpoint on the precise definition is at best handicap.  ... 
doi:10.1002/jcc.26003 pmid:31251411 fatcat:v7ph3inspjhezljo64fygu5gtq

Alternative pathways to utilizing customer knowledge: A fuzzy-set qualitative comparative analysis

Simos Chari, Anssi Tarkiainen, Hanna Salojärvi
2016 Journal of Business Research  
This study explores alternative configurations of causes to customer knowledge utilization using a set theoretic approach with fuzzy set qualitative comparative analysis.  ...  their own; they need to be accompanied by different degrees (i.e. high/low) and combinations of other peripheral antecedents, such as customer relationship orientation, top management involvement, and formalization  ...  Variables in the dataset can be calibrated to either crisp sets (i.e. the membership of a variable in the category is binary: 0 for non-membership and 1 for membership) or fuzzy sets (i.e. variables take  ... 
doi:10.1016/j.jbusres.2016.04.160 fatcat:qe73nh5pjrezpeztkpqiptod7q


2013 American Journal of Engineering and Applied Sciences  
Aleatory uncertainty arises because of unpredictable variation in the performance and processes of systems, it is irreducible even adding more data or knowledge.  ...  If, however, the data is limited and can be quantified in a statistical sense, epistemic uncertainty can be considered as an alternative tool in such a situation.  ...  This research was partially supported by the National Science Foundation of China under contract number 50775026.  ... 
doi:10.3844/ajeassp.2013.95.136 fatcat:7v6zcpeevndxzc3bii5uiufs5e

Hybrid Intelligent System for Diagnosing Breast Pre-Cancerous and Cancerous Conditions Based on Image Analysis [chapter]

Oleh M. Berezsky
2018 Intelligent System  
In this research study, the authors analyzed the modern AMS methods and algorithms.  ...  Logic inference machine is a module designed to logically derive the facts and rules from the base according to the laws of formal logic.  ...  Acknowledgements This proposed research was developed during the work on the state budget project "Hybrid intelligent information technology diagnosing precancerous breast cancer based on image analysis  ... 
doi:10.5772/intechopen.72576 fatcat:3ozegmcvpngnhhcbfbtxo3iwiu

Higher Order Vagueness in a Dynamic Landscape: Multi-Resolution Morphometric Analysis of a Coastal Dunefield

P. Fisher
2007 Journal of Environmental Informatics  
The logic of change analysis is presented, and two alternative approaches to change analysis of type-2 fuzzy sets implemented.  ...  This is known as higher order vagueness, and is handled in fuzzy set theory by type-2 and, by extension, type-n fuzzy sets.  ...  We would like to thank Al Duncan and Kyle Brown of the Environment Agency for their cooperation and supplying the data used in this paper.  ... 
doi:10.3808/jei.200700087 fatcat:7kvprfgpxbaxbiavn3rl73afdi

Multi Layer Analysis [article]

Luca Pinello
2011 arXiv   pre-print
This thesis includes also some applications of this approach to real problems in biology and seismology.  ...  This thesis presents a new methodology to analyze one-dimensional signals trough a new approach called Multi Layer Analysis, for short MLA.  ...  In each plot, the x axis represents the number of thresholds k (i.e. number of cuts), the column bar groups the best recognition and the percentage of minimum number of permanences which causes the best  ... 
arXiv:1107.5349v1 fatcat:p4uhvkel55d4zf2sgsbzkelohu

Functional Data Analysis for Optimizing Strategies of Cash-Flow Management [chapter]

Francesca Di Salvo, Marcello Chiodi, Pietro Patricola
2017 Studies in Classification, Data Analysis, and Knowledge Organization  
In the literature, the best known algorithm to solve this problem is soft thresholding plus singular value thresholding and consistency of estimators is derived under specific assumptions on the eigenvalues  ...  By some simulations, we show that Multitree is competitive with the best methods considered in literature.  ...  The results of the joint dimension reduction and clustering methods are compared with cluster analysis based on the full dimensional data.  ... 
doi:10.1007/978-3-319-55723-6_17 fatcat:kbfhsu5km5hc7d7bs6yljeusia

Multiple Criteria Decision Analysis of Sustainable Urban Public Transport Systems

Alberto Romero-Ania, Lourdes Rivero Gutiérrez, María Auxiliadora De Vicente Oliva
2021 Mathematics  
This study proposes a consistent combination of the ELECTRE TRI multiple criteria decision sorting method and the DELPHI procedure, the objective of which is to identify which urban public transport vehicles  ...  and factors included in the model.  ...  relation, the translation of the obtained fuzzy outranking relation into a crisp outranking relation S is carried out by means of a λ-cut, (λ is called cutting level).  ... 
doi:10.3390/math9161844 fatcat:ah6gsiftxnd5xp32akqleipqiy
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