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Avtomatika i Telemekhanika, 2004, Issue 4, Pages 133–142 (Mi at1562)  
This article is cited in 11 scientific papers (total in 11 papers)

Simulation of Behavior and Intelligence

Comparison of interval numbers and optimization of interval-parameter systems

V. I. Levin

Penza State Technological Academy
Full-text PDF (205 kB) Citations (11)
References:
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Abstract: Numbers defined by intervals are investigated in connection with optimization of interval-parameter systems. The solution of this problem is based on the concept of a measure of proximity for intervals and this concept is extended to arbitrarily located intervals. If covering of an interval by another is forbidden, the solution is transformed into the well-known solution, i.e., the right-shifted interval is the larger of the two. In the general case, the solution is reduced to comparing the centers of intervals.
Presented by the member of Editorial Board: P. Yu. Chebotarev

Received: 20.04.2002
English version:
Automation and Remote Control, 2004, Volume 65, Issue 4, Pages 625–633
DOI: https://doi.org/10.1023/B:AURC.0000023539.02247.38
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Levin, “Comparison of interval numbers and optimization of interval-parameter systems”, Avtomat. i Telemekh., 2004, no. 4, 133–142; Autom. Remote Control, 65:4 (2004), 625–633
Citation in format AMSBIB
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Linking options:
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    • This publication is cited in the following 11 articles:
    1. Interval Methods for Uncertain Power System Analysis, 2023, 112  crossref
    2. Xiaohong Ran, Jiahao Zhang, Kaipei Liu, “An Interval–Probabilistic CVaR (IP-CVaR) and Modelling for Unknown Probability Distribution of Some Random Variables”, IEEE Trans. Power Syst., 38:3 (2023), 2035  crossref
    3. Nguyen Q.-T., The-Dong Phung, Petrenko V B., Anikin B.A., “Integrated Approach of Personal Management of Professional Personnel of the Vietnamese Defense Industry in Market Conditions”, Adv. Appl. Discret. Math., 28:2 (2021), 319–333  crossref  isi
    4. Zhou B., Lei Y., Li C., Fang B., Wu Q., Li L., Li Zh., “Electrical Leaderrank Method For Node Importance Evaluation of Power Grids Considering Uncertainties of Renewable Energy”, Int. J. Electr. Power Energy Syst., 106 (2019), 45–55  crossref  isi  scopus
    5. Choi H., Seiler P.J., Dhople S.V., “Propagating Uncertainty in Power Flow With the Alternating Direction Method of Multipliers”, IEEE Trans. Power Syst., 33:4 (2018), 4124–4133  crossref  isi  scopus
    6. Shen X., Liu Ya., Liu Ya., “A Multistage Solution Approach For Dynamic Reactive Power Optimization Based on Interval Uncertainty”, Math. Probl. Eng., 2018, 3854812  crossref  mathscinet  isi  scopus
    7. Hafezalkotob A., Hafezalkotob A., “Interval Target-Based Vikor Method Supported on Interval Distance and Preference Degree For Machine Selection”, Eng. Appl. Artif. Intell., 57 (2017), 184–196  crossref  isi  elib  scopus
    8. Hafezalkotob A., Hafezalkotob A., Sayadi M.K., “Extension of Multimoora Method With Interval Numbers: An Application in Materials Selection”, Appl. Math. Model., 40:2 (2016), 1372–1386  crossref  mathscinet  isi  scopus
    9. Song Ya., Wang X., “Probability Estimation in the Framework of Intuitionistic Fuzzy Evidence Theory”, Math. Probl. Eng., 2015, 412045  crossref  mathscinet  isi  scopus
    10. Alfredo Vaccaro, Claudio A. Canizares, Kankar Bhattacharya, “A Range Arithmetic-Based Optimization Model for Power Flow Analysis Under Interval Uncertainty”, IEEE Trans. Power Syst., 28:2 (2013), 1179  crossref
    11. Nedorezov L.V., Utyupin Yu.V., “Nepreryvno-diskretnye modeli dinamiki chislennosti populyatsii”, Ekologiya. Seriya analiticheskikh obzorov mirovoi literatury, 2011, no. 95, 1–234  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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