Data Analysis and Interpretation: Methods of Computer-Aided Measuring Transducer Theory, Morphological Analysis, Possibility Theory, and Subjective Mathematical Modeling

被引：0
作者：
Pyt'ev, Yu. P. [1 ]
Chulichkov, A. I. [1 ]
Falomkina, O. V. [1 ]
Balakin, D. A. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Phys, Moscow 119991, Russia
来源：
PATTERN RECOGNITION AND IMAGE ANALYSIS | 2023年 / 33卷 / 04期
关键词：
morphological image analysis; measurement reduction; theory of possibilities; subjective modeling; optimal solutions; hypothesis testing; REDUCTION; OBJECT; IMAGES; CLASSIFICATION; RESTORATION; INFORMATION; SPECIFICITY; PARAMETERS; EFFICIENCY;
D O I：
10.1134/S1054661823040351
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This article provides an overview of the fundamental research directions being pursued at the Faculty of Physics of Lomonosov Moscow State University under the guidance of Professor Yuri Petrovich Pyt'ev. These research directions can be categorized into three primary areas: methods of morphological analysis of images and signals, theory of computer-aided measuring systems, and methods related to the theory of possibilities and subjective mathematical modeling. The article elucidates the foundational ideas and concepts of these directions, contemplates alternative approaches to address similar challenges, and offers both model-based and application-driven examples utilizing the methods corresponding to these directions and their combinations.
引用
收藏
页码：1515 / 1563
页数：49
相关论文
共 231 条
[31]  
Demin DS., 2011, J. Math. Sci, V172, P770, DOI [10.1007/s10958-011-0220-2, DOI 10.1007/S10958-011-0220-2]
[32]   UPPER AND LOWER PROBABILITIES INDUCED BY A MULTIVALUED MAPPING [J].
DEMPSTER, AP .
ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (02) :325-&
[33]  
DEMPSTER AP, 1968, J ROY STAT SOC B, V30, P205
[34]  
Dougherty E. R., 1989, Proceedings CVPR '89 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.89CH2752-4), P172, DOI 10.1109/CVPR.1989.37846
[35]  
DUBOIS D, 1993, SECOND IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1 AND 2, P1059, DOI 10.1109/FUZZY.1993.327367
[36]   A NOTE ON MEASURES OF SPECIFICITY FOR FUZZY-SETS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1985, 10 (04) :279-283
[37]   Possibility theory, probability theory and multiple-valued logics: A clarification [J].
Dubois, D ;
Prade, H .
ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE, 2001, 32 (1-4) :35-66
[38]  
Dubois D., 2009, Decision-Making Process, P85, DOI [10.1002/9780470611876.ch3, DOI 10.1002/9780470611876.CH3]
[39]  
Dubois D., 1980, Mathematics in Science and Engineering, V144, DOI [10.1016/S0076-5392(13)60164-2, DOI 10.1016/S0076-5392(13)60164-2]
[40]  
Dubois D., 2000, Fundamentals of Fuzzy Sets, DOI [10.1007/978-1-4615-4429-6_8, DOI 10.1007/978-1-4615-4429-6_8]
12345678910