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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 55
  3. Computational Mathematics and Mathematical Physics : Volume 55, Issue 12, December 2015
  4. Generalized Edgeworth–Pareto principle
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 55, Issue 12, December 2015
Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices
New family of iterative methods based on the Ermakov–Kalitkin scheme for solving nonlinear systems of equations
Approximation of functions by asymmetric two-point hermite polynomials and its optimization
Generalized Edgeworth–Pareto principle
A proximal method for solving quasi-variational inequalities
Necessary and sufficient conditions for the polynomial convergence of the quasi-reversibility and finite-difference methods for an ill-posed cauchy problem with exact data
Internal layers in the one-dimensional reaction–diffusion equation with a discontinuous reactive term
Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice
Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation
Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms
Comparative analysis of computational methods for periodic transonic flows at low and high frequencies
Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics
Preconditioning of Navier–Stokes equations in the computation of free convective flows
Construction of a correct combination of estimation algorithms adjusted using the cross validation technique
Erratum to: “Numerical solution of linear differential-algebraic systems of partial differential equations”
Computational Mathematics and Mathematical Physics : Volume 55, Issue 11, November 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 10, October 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 9, September 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 8, August 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 7, July 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 6, June 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 5, May 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 4, April 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 3, March 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 2, February 2015
Computational Mathematics and Mathematical Physics : Volume 55, Issue 1, January 2015
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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Generalized Edgeworth–Pareto principle

Content Provider Springer Nature Link
Author ghin, V. D.
Copyright Year 2015
Abstract The general multicriteria choice problem with m individual preference relations and an asymmetric collective preference relation is considered. The concept of a k-effective alternative is introduced, which coincides with an effective alternative for k = 1 and represents a weakly effective alternative for k = m. For the other integer values of k, it lies somewhere in between. In terms of the general multicriteria choice problem, the Pareto axiom and the exclusion axiom for dominated alternatives are stated. Assuming that these axioms hold, a generalized Edgeworth–Pareto principle is established, which was earlier introduced by the author in the special case k = 1. The results are extended to a fuzzy collective preference relation and to a fuzzy set of initial alternatives.
Starting Page 1975
Ending Page 1980
Page Count 6
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 55
Issue Number 12
e-ISSN 15556662
Language English
Publisher Pleiades Publishing
Publisher Date 2015-12-08
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword multicriteria choice Edgeworth–Pareto principle fuzzy choice Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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