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
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
  • [1] Agapov M. N., 1988, Moscow Univ. Phys. Bull, V43, P87
  • [2] [Anonymous], 1994, Calculus of Decomposable Properties, Fuzzy Sets, and Decisions
  • [3] [Anonymous], 1986, Fuzzy Sets in Control and Artificial Intelligence Models
  • [4] Antoniou C., 2015, SSRN Electron. J., V50, P403, DOI [10.2139/ssrn.2247318, DOI 10.2139/SSRN.2247318]
  • [5] Antonyuk V. A., 1984, Methods of Morphological Analysis in Problem of Object Extraction
  • [6] Antonyuk V. A., 2021, Intellektualnye Sist. Teoriya Prilozheniya, V25, P11
  • [7] Morphological and Other Research Techniques for Almost Cyclic Time Series as Applied to CO2 Concentration Series
    Avilov, V. K.
    Aleshnovskii, V. S.
    Bezrukova, A., V
    Gazaryan, V. A.
    Zyuzina, N. A.
    Kurbatova, Yu A.
    Tarbaev, D. A.
    Chulichkov, A., I
    Shapkina, N. E.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021, 61 (07) : 1106 - 1117
  • [8] Improvement of Measurement Reduction of Tomographic Images Using Non-Negativity of Brightness
    Balakin, D. A.
    [J]. FOURTEENTH INTERNATIONAL CONFERENCE ON MACHINE VISION (ICMV 2021), 2022, 12084
  • [9] Reduction of Images to the Form Typical for Measuring the Distribution of Object Transparency with Subjective Information about Its Sparsity in a Given Basis
    Balakin, D. A.
    [J]. MOSCOW UNIVERSITY PHYSICS BULLETIN, 2020, 75 (01) : 26 - 34
  • [10] Measurement Reduction in the Presence of Subjective Information
    Balakin D.A.
    Pyt’ev Y.P.
    [J]. Mathematical Models and Computer Simulations, 2019, 11 (4) : 596 - 610