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International Journal of General Systems Volume 35, 2006 - Issue 1
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Original Articles

Disaggregated total uncertainty measure for credal sets

J. Abellán University of Granada, Department of Computation Science and A.I., Granada, 18071, SpainCorrespondence{jabellan,smc}@decsai.ugr.es
,
G.J. Klir Binghamton University (SUNY), Department of Systems Science and Industrial Engineering, Binghamton, NY, 13902 6000, USAView further author information
&
S. Moral University of Granada, Department of Computation Science and A.I., Granada, 18071, Spain
Pages 29-44 | Received 19 May 2005, Accepted 08 Nov 2005, Published online: 26 Jan 2007

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Serafín Moral-García & Joaquín Abellán. (2021) Uncertainty-based information measures on the approximate non-parametric predictive inference model. International Journal of General Systems 50:2, pages 159-181.
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Joaquín Abellán, Griselda López, Laura Garach & Javier G. Castellano. (2017) Extraction of decision rules via imprecise probabilities. International Journal of General Systems 46:4, pages 313-331.
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Joaquín Abellán. (2011) Combining nonspecificity measures in Dempster–Shafer theory of evidence. International Journal of General Systems 40:6, pages 611-622.
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Ronald R. Yager. (2009) On the fusion of non-independent belief structures. International Journal of General Systems 38:5, pages 505-531.
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Joaquín Abellán & Andrés Masegosa. (2008) Requirements for total uncertainty measures in Dempster–Shafer theory of evidence. International Journal of General Systems 37:6, pages 733-747.
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Joaquín Abellán. (2006) Application of uncertainty measures on credal sets on the naive Bayesian classifier. International Journal of General Systems 35:6, pages 675-686.
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J. Abellán. (2006) Uncertainty measures on probability intervals from the imprecise Dirichlet model. International Journal of General Systems 35:5, pages 509-528.
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Articles from other publishers (44)

Jixiang Deng & Yong Deng. (2023) DBE: Dynamic belief entropy for evidence theory with its application in data fusion. Engineering Applications of Artificial Intelligence 123, pages 106339.
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Michel Barès & Éloi BosséÉloi Bossé & Michel Barès. 2022. Relational Calculus for Actionable Knowledge. Relational Calculus for Actionable Knowledge 117 164 .
Joaquín Abellán, Serafín Moral-García & María D. Benítez. (2021) Combination in the theory of evidence via a new measurement of the conflict between evidences. Expert Systems with Applications 178, pages 114987.
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Ronald R. Yager. (2021) Inferring the value of a variable using measure based information of a related variable. Engineering Applications of Artificial Intelligence 101, pages 104201.
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Eyke Hüllermeier & Willem Waegeman. (2021) Aleatoric and epistemic uncertainty in machine learning: an introduction to concepts and methods. Machine Learning 110:3, pages 457-506.
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Serafín Moral-García & Joaquín Abellán. (2020) Critique of modified Deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, pages 110112.
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Joaquin Abellan & Eloi Bosse. (2020) Critique of Recent Uncertainty Measures Developed Under the Evidence Theory and Belief Intervals. IEEE Transactions on Systems, Man, and Cybernetics: Systems 50:3, pages 1186-1192.
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Serafin Moral-Garcia & Joaquin Abellan. (2020) Maximum of Entropy for Belief Intervals Under Evidence Theory. IEEE Access 8, pages 118017-118029.
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Joaquín Abellán, Serafín Moral-García & María Dolores Benítez. 2019. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 148 159 .
Joaquín Abellán, Carlos J. Mantas & Éloi Bossé. 2019. Information Quality in Information Fusion and Decision Making. Information Quality in Information Fusion and Decision Making 99 108 .
Joaquín Abellán, Carlos J. Mantas, Javier G. Castellano & Serafín Moral-García. (2018) Increasing diversity in random forest learning algorithm via imprecise probabilities. Expert Systems with Applications 97, pages 228-243.
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Joaquin Abellan & Eloi Bosse. (2018) Drawbacks of Uncertainty Measures Based on the Pignistic Transformation. IEEE Transactions on Systems, Man, and Cybernetics: Systems 48:3, pages 382-388.
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Joaquín Abellán, Carlos J. Mantas & Javier G. Castellano. (2017) A Random Forest approach using imprecise probabilities. Knowledge-Based Systems 134, pages 72-84.
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Joaquín Abellán & Javier Castellano. (2017) Improving the Naive Bayes Classifier via a Quick Variable Selection Method Using Maximum of Entropy. Entropy 19:6, pages 247.
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Joaquín Abellán & Javier G. Castellano. (2017) A comparative study on base classifiers in ensemble methods for credit scoring. Expert Systems with Applications 73, pages 1-10.
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Joaquín Abellán. (2017) Analyzing properties of Deng entropy in the theory of evidence. Chaos, Solitons & Fractals 95, pages 195-199.
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Joaquín Abellán, Javier G. Castellano & Carlos J. Mantas. (2017) A New Robust Classifier on Noise Domains: Bagging of Credal C4.5 Trees. Complexity 2017, pages 1-17.
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Carlos J. Mantas, Joaquín Abellán & Javier G. Castellano. (2016) Analysis of Credal-C4.5 for classification in noisy domains. Expert Systems with Applications 61, pages 314-326.
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Ronald R. Yager & Naif Alajlan. (2016) Evaluating Belief Structure Satisfaction to Uncertain Target Values. IEEE Transactions on Cybernetics 46:4, pages 869-877.
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Carlos J. Mantas & Joaquín Abellán. (2014) Credal-C4.5: Decision tree based on imprecise probabilities to classify noisy data. Expert Systems with Applications 41:10, pages 4625-4637.
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Joaquín Abellán & Carlos J. Mantas. (2014) Improving experimental studies about ensembles of classifiers for bankruptcy prediction and credit scoring. Expert Systems with Applications 41:8, pages 3825-3830.
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. 2014. Introduction to Imprecise Probabilities. Introduction to Imprecise Probabilities 338 373 .
Carlos J. Mantas & Joaquín Abellán. (2014) Analysis and extension of decision trees based on imprecise probabilities: Application on noisy data. Expert Systems with Applications 41:5, pages 2514-2525.
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Joaquín Abellán, Rebecca M. Baker, Frank P.A. Coolen, Richard J. Crossman & Andrés R. Masegosa. (2014) Classification with decision trees from a nonparametric predictive inference perspective. Computational Statistics & Data Analysis 71, pages 789-802.
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Johan Schubert. 2014. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 190 198 .
Joaquín Abellán. (2013) Ensembles of decision trees based on imprecise probabilities and uncertainty measures. Information Fusion 14:4, pages 423-430.
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Yi Yang, Deqiang Han & Chongzhao Han. (2013) Discounted combination of unreliable evidence using degree of disagreement. International Journal of Approximate Reasoning 54:8, pages 1197-1216.
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Jonas Clausen Mork. (2011) Uncertainty, credal sets and second order probability. Synthese 190:3, pages 353-378.
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JOAQUÍN ABELLÁN & ANDRÉS R. MASEGOSA. (2012) IMPRECISE CLASSIFICATION WITH CREDAL DECISION TREES. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20:05, pages 763-787.
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Joaquín Abellán & Andrés R. Masegosa. (2012) Bagging schemes on the presence of class noise in classification. Expert Systems with Applications 39:8, pages 6827-6837.
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Johan Schubert. (2012) Constructing and evaluating alternative frames of discernment. International Journal of Approximate Reasoning 53:2, pages 176-189.
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Kaihong Guo & Wenli Li. (2011) Combination rule of D–S evidence theory based on the strategy of cross merging between evidences. Expert Systems with Applications 38:10, pages 13360-13366.
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Joaquín Abellán, Rebecca M. Baker & Frank P.A. Coolen. (2011) Maximising entropy on the nonparametric predictive inference model for multinomial data. European Journal of Operational Research 212:1, pages 112-122.
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Johan Schubert. (2011) Conflict management in Dempster–Shafer theory using the degree of falsity. International Journal of Approximate Reasoning 52:3, pages 449-460.
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Joaquín Abellán & Andrés R. Masegosa. (2010) An ensemble method using credal decision trees. European Journal of Operational Research 205:1, pages 218-226.
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Joaquín Abellán & Andrés R. Masegosa. 2010. Foundations of Information and Knowledge Systems. Foundations of Information and Knowledge Systems 248 265 .
JOAQUÍN ABELLÁN & ANDRÉS R. MASEGOSA. (2011) A FILTER-WRAPPER METHOD TO SELECT VARIABLES FOR THE NAIVE BAYES CLASSIFIER BASED ON CREDAL DECISION TREES. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17:06, pages 833-854.
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Joaquín Abellán & Andrés R. Masegosa. 2009. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 446 456 .
G.J. Klir & H.W. Lewis. (2008) Remarks on “Measuring Ambiguity in the Evidence Theory”. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 38:4, pages 995-999.
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Joaquin Abellan & Serafin Moral. (2008) Measuring total uncertainty in Dempster-Shafer theory of Evidence: properties and behaviors. Measuring total uncertainty in Dempster-Shafer theory of Evidence: properties and behaviors.
Joaquín Abellán & Andrés R. Masegosa. 2007. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 512 523 .
Joaquín Abellán & Andrés R. Masegosa. 2007. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 489 500 .
Joaquín Abellán, Andrés Cano, Andrés R. Masegosa & Serafín Moral. 2007. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 477 488 .
Joaquín Abellán, Serafín Moral, Manuel Gómez & Andrés Masegosa. 2006. Soft Methods for Integrated Uncertainty Modelling. Soft Methods for Integrated Uncertainty Modelling 231 239 .

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