Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Journal of Computer and Systems Sciences International
Published in: Journal of Computer and Systems Sciences International 6/2019

01-11-2019 | SYSTEMS ANALYSIS AND OPERATIONS RESEARCH

Generalized Equivalence Set Method for Solving Multiobjective Optimization Problems

Author: R. V. Khachaturov

Published in: Journal of Computer and Systems Sciences International | Issue 6/2019

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Various aspects of solving multiobjective discrete optimization problems are considered. Advantages of the equivalence set method are shown compared to other methods often used to solve multiobjective problems such as the method of successive concessions and the method of seeking the set of Pareto-optimal solutions. Theorems reflecting the main properties of the equivalence set method and showing the relationship and interrelation between the set of Pareto-optimal solutions and the equivalence set are formulated and proved.
previous article Selecting a Single Result from an Aggregate of Contradictory Alternatives with Use of Multiset Theory
next article Artificial Intelligence Agents in the Knowledge Databases of Onboard Real-Time Advisory Expert Systems for the Typical Situations of the Functioning of an Anthropocentric Object

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
R. V. Khachaturov, “Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities,” Comput. Math. Math. Phys. 56, 1580 (2016).MathSciNetCrossRef
2.
R. V. Khachaturov, “Single- and multiobjective optimization on the lattice of cubes,” Comput. Syst. Sci. Int. 57, 750–758 (2018).CrossRef
3.
V. V. Podinovskii and V. D. Nogin, Pareto-Optimal Solutions to Multicriteria Problems (Nauka, Moscow, 1982) [in Russian].
4.
A. Mas-Collel, M. D. Whinston, and J. R. Green, Microeconomic Theory (Oxford Univ. Press, New York, 1995).MATH
5.
H. Moulin, Axioms of Cooperative Decision Making (Cambridge Univ. Press, Cambridge etc., 1988).
6.
R. Steuer, Multiple Criteria Optimization: Theory, Computation, and Application, Wiley Series in Probability and Statistics (Wiley, Chichester, 1986).
7.
M. V. Gubko and D. A. Novikov, Game Theory in Organizational Systems Management (Sinteg, Moscow, 2002) [in Russian].
8.
V. D. Nogin, Decision Making in a Multi-Criteria Environment: A Quantitative Approach (Fizmatlit, Moscow, 2002) [in Russian].
9.
A. V. Lotov and I. I. Pospelova, Multi-Criteria Decision Making Problems (MAKS Press, Moscow, 2008) [in Russian].
10.
A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems (Nauka, Moscow, 1979; Halsted, New York, 1977).
Metadata
Title
Generalized Equivalence Set Method for Solving Multiobjective Optimization Problems
Author
R. V. Khachaturov
Publication date
01-11-2019
Publisher
Pleiades Publishing
Published in
Journal of Computer and Systems Sciences International / Issue 6/2019
Print ISSN: 1064-2307
Electronic ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230719060091

Other articles of this Issue 6/2019

Journal of Computer and Systems Sciences International 6/2019 Go to the issue

PATTERN RECOGNITION AND IMAGE PROCESSING

Detection of Cylindrical and Spherical Surfaces and Determining Their Parameters in Segmentation of Range Images

SYSTEMS ANALYSIS AND OPERATIONS RESEARCH

Diagnosis of Linear Systems Based on Sliding Mode Observers

CONTROL IN STOCHASTIC SYSTEMS AND UNDER UNCERTAINTY CONDITIONS

Multistructural Method of the Triangulation Estimation of the Motion Parameters of a Radiating Target under A Priori Indefiniteness Assumptions

SYSTEMS ANALYSIS AND OPERATIONS RESEARCH

Selecting a Single Result from an Aggregate of Contradictory Alternatives with Use of Multiset Theory

CONTROL SYSTEMS OF MOVING OBJECTS

Implementation of the Orbital Orientation Mode of an Artificial Satellite of the Earth without Accumulation of the Angular Momentum of the Gyro System

PATTERN RECOGNITION AND IMAGE PROCESSING

Technology for the Visual Inspection of Aircraft Surfaces Using Programmable Unmanned Aerial Vehicles

Premium Partner

    Image Credits