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About Relation between the Measure of Conflict and Decreasing of Ignorance in Theory of Evidence
P. 355-362.
The conflict measure and index of decreasing of igno-rance in frame of Dempster-Shafer theory are intro-duced. Those functionals are analyzed on the bodies of evidences of special type. It is shown that the great correlation between the bodies of evidence is a sufficient condition of decreasing of ignorance after the applying of combining rule. The relationships between the measure of conflict and the index of decreasing of ignorance in the case of different types of evidences and the application of different combining rules were investigated.
Publication based on the results of:
In book
P., Beijing, Amsterdam : Atlantis Press, 2013
Springer, 2018
This book constitutes the refereed proceedings of the 5th International Conference on Belief Functions, BELIEF 2018, held in Compiègne, France, in September 2018.The 33 revised regular papers presented in this book were carefully selected and reviewed from 73 submissions. The papers were solicited on theoretical aspects (including for example statistical inference, mathematical foundations, continuous belief functions) ...
Added: September 24, 2018
Decompositional approach for evaluation of internal conflict in the framework of the evidence theory
Lepskiy A., Нечеткие системы и мягкие вычисления 2020 Vol. 15 No. 1 P. 43-63
The concept of conflict is one of the central in the belief functions theory. There are differences between external and internal conflicts. A new method for estimating the internal conflict is proposed and studied in this paper. This method assumes that the original body of evidence was derived from simpler evidence using some combining rule. ...
Added: September 17, 2020
Lepskiy A., , in : Belief Functions: Theory and Applications 5th International Conference, BELIEF 2018, Compiègne, France, September 17-21, 2018, Proceedings. Vol. 11069.: Springer, 2018. P. 172-180.
The conflict measures induced by the conjunctive and disjunctive combining rules are studied in this paper in the framework of evidence theory. The coherence of conflict measures with combining rules is introduced and studied. In addition, the structure of conjunctive and disjunctive conflict measures is studied in the paper. In particular, it is shown that ...
Added: September 24, 2018
Lepskiy A., Кутынина Е. А., , in : Advances in Fuzzy Logic and Technology 2017. Vol. 642.: Cham : Springer, 2018. P. 370-381.
The article is dedicated to the method of aggregation of financial analysts’ recommendations in the framework of the evidence theory. This method considered on the example of Russian stock market and the quality of the obtained results was compared with the classical consensus forecast. It is shown that the combination rules, which are widely developed ...
Added: October 5, 2017
Bronevich A., Lepskiy A., Penikas H. I., , in : SCAKD 2016 – The Second International Workshop on Soft Computing Applications and Knowledge Discovery. Proceedings of the Second International Workshop on Soft Computing Applications and Knowledge Discovery. July 18, 2016. Vol. 1687.: CEUR Workshop Proceedings, 2016. P. 12-23.
This article is devoted to the analysis of coherence of financial recommendations with respect to securities of the Russian companies. The study is based on the analysis of approximately 4000 recommendations and forecasts of 23 investment banks with respect to around forty securities of Russian stock market over the period of 2012-2014 years. The predictive ...
Added: September 28, 2016
Lepskiy A., , in : Belief Functions: Theory and Applications. Vol. 8764.: Dordrecht, L., Heidelberg, NY : Springer, 2014. P. 29-38.
Some general schemes and examples of aggregation of two belief functions into a single belief function are considered in this paper.
We find some sufficient conditions of change of ignorance when evidences are combined with the help of various rules. It is shown that combining rules can be regarded as pessimistic or optimistic depending on the ...
Added: October 1, 2014
Lepskiy A., , in : Data Analysis and Optimization. In Honor of Boris Mirkin's 80th Birthday. : Springer, 2023. Ch. 12. P. 179-190.
The Dempster-Shafer theory of evidence considers data that have a frequency-set nature (the so-called body of evidence). In recent years, there has been interest in clustering such objects to approximate them with simpler bodies of evidence, to analyze the inconsistency of information, reducing the computational complexity of processing algorithms, revealing the structure of the set ...
Added: September 29, 2023
Lepskiy A., , in : Lecture Notes in Artificial Intelligence. Vol. 9861: Belief Functions: Theory and Applications.: Springer, 2016. P. 25-34.
Conflictness is an important a priori characteristic of combining rules in the belief functions theory. A new approach to the estimation of internal conflict offered in this article. This approach is based on the idea of decomposition of the initial body of evidence on the set of bodies of evidence by means of some combining ...
Added: September 28, 2016
Lepskiy A., Нечеткие системы и мягкие вычисления 2013 Т. 8 № 2 С. 65-82
The index of decreasing of ignorance after applying of combination rules is introduced and studied in the work within the frame of Dempster-Shafer theory. This index is analysed for some special sets (bodies) of evidence. It is shown that a strong correlation between bodies of evidence is a sufficient condition to decrease of ignorance after applying of combination rules. In ...
Added: December 16, 2013
Lepskiy A., Suevalov A., Procedia Computer Science 2019 Vol. 162 P. 235-242
The possibility of using the belief function theory for developing of trading strategies is considered in this paper. An analysis of this approach is given on the data of the Russian stock market. The belief and plausibility functions (and their corresponding bodies of evidence) to the system’s recommendations (buy, sell or hold) are calculated using ...
Added: January 1, 2020
Bronevich A., Lepskiy A., , in : Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019). Vol. 1.: P. : Atlantis Press, 2019. P. 328-333.
In real applications, sometimes it is necessary to evaluate inner or external conflict of pieces of evidence. However, these numerical values cannot give us explanations why this conflict occurs. Thus, we need deeper analysis of available information. In the paper, we propose the clusterization of a given evidence on pieces of evidence in a way ...
Added: September 25, 2019
Lepskiy A., , in : Procedia Computer Science. Vol. 122: 5th International Conference on Information Technology and Quantitative Management, ITQM 2017.: Elsevier, 2017. P. 186-193.
This paper is devoted to the study of estimation of internal conflict of evidence in the framework of belief functions theory. The decomposition approach, which was proposed early by the author, will be considered with this purpose. The establishment of some properties of this conflict measure is a main result of this paper. In particular, ...
Added: December 22, 2017
Bronevich A., Lepskiy A., Penikas H. I., , in : Procedia Computer Science. 3rd International Conference on Information Technology and Quantitative Management, ITQM 2015. Vol. Volume 55.: Amsterdam : Elsevier, 2015. P. 1113-1122.
This paper is devoted to modern approaches to the estimation of external conflict in the theory of evidence based on axioms. The conflict measure is defined on the set of beliefs obtained from several sources of information. It is shown that the conflict measure should be a monotone set function with respect to sets of ...
Added: May 12, 2016
Bronevich A., Lepskiy A., Penikas H. I., Procedia Computer Science 2015 Vol. 55 P. 1113-1122
This paper is devoted to modern approaches to the estimation of external conflict in the theory of evidence based on axioms. The conflict measure is defined on the set of beliefs obtained from several sources of information. It is shown that the conflict measure should be a monotone set function with respect to sets of ...
Added: August 16, 2015
Lepskiy A., , in : Belief Functions: Theory and Applications: 6th International Conference, BELIEF 2021, Shanghai, China, October 15–19, 2021, Proceedings. Vol. 12915.: Springer, 2021. P. 197-206.
Added: October 20, 2021
Springer, 2021
This book constitutes the refereed proceedings of the 6th International Conference on Belief Functions, BELIEF 2021, held in Shanghai, China, in October 2021. The 30 full papers presented in this book were carefully selected and reviewed from 37 submissions. The papers cover a wide range on theoretical aspects on mathematical foundations, statistical inference as well ...
Added: October 20, 2021
Lepskiy A., Проблемы управления 2021 № 5 С. 3-19
The analysis results of information inconsistency within belief function theory (the Dempster–Shafer theory of evidence) are reviewed. This theory has been intensively developing over the past 10–15 years. Part I of the survey considers the measure of external conflict between bodies of evidence. The concepts of conflict and non-conflict bodies of evidence and the basic ...
Added: October 31, 2021
Bronevich A., Penikas H. I., Lepskiy A. et al., / Высшая школа экономики. Серия WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2015. № 10.
There is one of the investment strategies on a stock market called a choice of securities including
its buying and sale based on financial analysts’ recommendations. The distinguishing characteristic of
these recommendations is that in each of it for the same securities there can be different recommendations
(«Buy», «Sell», «Hold») as well as for one type of recommendations ...
Added: December 2, 2015
Lepskiy A., Smolev V., , in : Atlantis Studies in Uncertainty Modelling, Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019). Vol. 1.: Atlantis Press, 2019. P. 321-327.
Added: September 29, 2019