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    Wyświetlanie 1-12 z 12
    Tytuł:
    Multiobjective variational programming under generalized (V, p)-B-type I functions
    Autorzy:
    Khazafi, K.
    Rueda, N.
    Enflo, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970961.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    multiobjective variational programming
    efficient solution
    proper efficient solution
    generalized (V, p)-B-type I functions
    sufficient conditions
    mixed type duality rusults
    Opis:
    In this paper, we generalize the (V, p)-invexity denned for nonsmooth multiobjective fractional programming by Mishra, Rueda and Giorgi (2003) to variational programming problems by defining new classes of vector- valued functions called (V, p)-B-type I and generalized (V, p)-B-type I. Then we use these new classes to derive various sufficient optimality conditions and mixed type duality results.
    Źródło:
    Control and Cybernetics; 2009, 38, 2; 555-572
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals
    Autorzy:
    Treanţă, Savin
    Mititelu, Ştefan
    Powiązania:
    https://bibliotekanauki.pl/articles/1845506.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    multiobjective fractional control problem
    geodesic efficient solution
    (ρ, b)-geodesic quasiinvexity
    Opis:
    In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of (normal) geodesic efficient solution, under (ρ, b)-geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.
    Źródło:
    Archives of Control Sciences; 2021, 31, 3; 687-706
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On a multi-objective optimization problem arising from production theory
    Autorzy:
    Roman, Maria
    Wieczorek, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/1338896.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    multi-objective optimization
    (weakly) efficient solution
    household production
    (weak) Pareto optimality
    Opis:
    The paper presents a natural application of multi-objective programming to household production and consumption theory. A contribution to multi-objective programming theory is also included.
    Źródło:
    Applicationes Mathematicae; 1998-1999, 25, 4; 411-415
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Necessary optimality conditions for robust nonsmooth multiobjective optimization problems
    Autorzy:
    Gadhi, Nazih Abderrazzak
    Ohda, Mohamed
    Powiązania:
    https://bibliotekanauki.pl/articles/2183482.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    convexificator
    directional constraint qualification
    efficient solution
    optimality conditions
    robust multiobjective optimization
    Opis:
    This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem. These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions. Examples illustrating our findings are also given.
    Źródło:
    Control and Cybernetics; 2022, 51, 3; 289--302
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals
    Autorzy:
    Treanţă, Savin
    Mititelu, Ştefan
    Powiązania:
    https://bibliotekanauki.pl/articles/1845520.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    multiobjective fractional control problem
    geodesic efficient solution
    (ρ, b)-geodesic quasiinvexity
    Opis:
    In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of (normal) geodesic efficient solution, under (ρ, b)-geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.
    Źródło:
    Archives of Control Sciences; 2021, 31, 3; 687-706
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Using the Multi-criteria Optimization to Support the Selection of Joint Decision within Comptetitive Environment
    Autorzy:
    Lodzinski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/384588.pdf
    Data publikacji:
    2015
    Wydawca:
    Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
    Tematy:
    joint decision
    multicriteria optimization
    equitably efficient solution
    scalarization function
    joint decision making
    Opis:
    The paper presents the method of facilitating joint decision making in a competitive environment. We deal with a joint decision when the group of people with different preferences are to make one single decision. The joint decision selection process is modelled with the use of multi-criteria optimization task. It is solved with the use of reference point method. This method is an interactive method in which every person specifies its requirements in the form of a reference point, expressing the desired values for its evaluation function. On the basis of the provided reference point, a scalar achievement function is built. Maximization of this function generates a solution of the multi-criteria task. This solution is presented to every person for acceptance or as a basis for the modification of the reference point. The paper gives an example of applying the proposed decision making while competing by three persons of different preferences.
    Źródło:
    Journal of Automation Mobile Robotics and Intelligent Systems; 2015, 9, 2; 37-41
    1897-8649
    2080-2145
    Pojawia się w:
    Journal of Automation Mobile Robotics and Intelligent Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    THE METHOD OF SUPPORTING DECISIONS UNDER RISK BASED ON MULTIOBJECTIVE OPTIMIZATION
    Autorzy:
    Łodziński, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/453768.pdf
    Data publikacji:
    2013
    Wydawca:
    Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
    Tematy:
    multiobjective optimization
    symmetrically efficient solution
    scalarization function
    supporting a decision-making process
    Opis:
    The method of supporting decisions under risk was presented in this paper. Making decision under risk takes place when a result of a given decision is not explicit and depends on the condition of the environment. A decision-making process based on multiobjective optimization has been presented in this paper. Methods of multiobjective optimization do not give one unique solution, but a whole set of them. A decision making relies on interactive conducting of the decision making process. Selection of given decision is made by way of solving a problem with parameters defining aspirations of a decision maker and the evaluation of obtained results. A decision maker defines a parameter, for which a solution is indicated. Then he or she evaluates the received solution by either accepting or rejecting it. In the second case a decision maker provides a new parameter value and a problem is solved again for the new parameter.39-50
    Źródło:
    Metody Ilościowe w Badaniach Ekonomicznych; 2013, 14, 2; 39-50
    2082-792X
    Pojawia się w:
    Metody Ilościowe w Badaniach Ekonomicznych
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex function
    Autorzy:
    Antczak, T.
    Jimenez, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/255711.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    multiobjective variational control problems
    efficient solution
    B-(p, r)-invex functions
    optimality conditions
    duality
    Opis:
    In this paper, we generalize the notion of B-(p, r)-invexity introduced by Antczak in [A class of B-(p; r)-invex functions and mathematical programming, J. Math. Anal. Appl. 286 (2003), 187–206] for scalar optimization problems to the case of a multiobjective variational programming control problem. For such nonconvex vector optimization problems, we prove sufficient optimality conditions under the assumptions that the functions constituting them are B-(p, r)-invex. Further, for the considered multiobjective variational control problem, its dual multiobjective variational control problem in the sense of Mond-Weir is given and several duality results are established under B-(p, r)-invexity.
    Źródło:
    Opuscula Mathematica; 2014, 34, 4; 665-682
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Support of Decision-Making under Risk by a Risk-Averse Decision-Maker
    Autorzy:
    Łodziński, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/375923.pdf
    Data publikacji:
    2019
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    decision-making under risk
    multi-criteria optimization
    equitably efficient solution
    scalarizing function
    decision support system
    Opis:
    The paper presents a method of supporting decision-making under risk by a risk- -averse decision-maker. Decision-making under risk occurs when the outcome of the system is ambiguous and depends on the state of the environment. The problem is considered as a multi-criteria optimization. The decision support method consists of interactive conduct of the process of decision-making. The decision is made by means of solving a problem with controlling parameters, which determine the aspirations of the decision-maker and evaluating the obtained solutions. The decision-maker sets parameters for which a solution is determined. Subsequently, he or she assesses the obtained solution, accepting or rejecting it. In the latter case, the decision-maker sets new values for the parameters and the problem is solved again. The present paper presents a discrete example of support for decision making under risk.
    Źródło:
    Decision Making in Manufacturing and Services; 2019, 13, 1-2; 73-83
    1896-8325
    2300-7087
    Pojawia się w:
    Decision Making in Manufacturing and Services
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems
    Autorzy:
    Antczak, Tadeusz
    Arana-Jimenéz, Manuel
    Treanţă, Savin
    Powiązania:
    https://bibliotekanauki.pl/articles/29519358.pdf
    Data publikacji:
    2023
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    nondifferentiable multiobjective fractional variational control problem
    efficient solution
    optimality conditions
    generalized univexity
    Mond-Weir duality
    Wolfe duality
    Opis:
    In this paper, we consider the class of nondifferentiable multiobjective fractional variational control problems involving the nondifferentiable terms in the numerators and in the denominators. Under univexity and generalized univexity hypotheses, we prove optimality conditions and various duality results for such nondifferentiable multiobjective fractional variational control problems. The results established in the paper generalize many similar results established earlier in the literature for such nondifferentiable multiobjective fractional variational control problems.
    Źródło:
    Opuscula Mathematica; 2023, 43, 3; 335-391
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
    Autorzy:
    Aghezzaf, B.
    Khazafi, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/970415.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sufficient conditions
    mixed type duality
    multiobjective variational programming
    efficient solution
    B-type I vector-valued functions
    generalized B-type I vector-valued functions
    rozwiązanie efektywne
    warunek wystarczający
    Opis:
    In this paper, we consider the multiobjective variational problem. We propose a class of generalized B-type I vector-valued functions and use this concept to establish sufficient optimality conditions and mixed type duality results
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 113-126
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multi-Criteria Optimization Approach to Modeling Negotiation Process
    Autorzy:
    Łodziński, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/375876.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    negotiation process
    multi-criteria optimization
    equitably efficient decision
    achievement function
    set of negotiations
    method for solution selection
    Opis:
    This paper presents a multi-criteria optimization approach for modeling the negotiation process. The negotiation process is modeled as a special multi-criteria problem. The method of finding solutions involves a process of the interactive selection of certain proposals. The parties submit proposals concerning the subjects of the negotiations; these proposals constitute the parameters of the multi-criteria optimization problem. Selecting the solutions is accomplished by solving the optimization problem using the parameters that define the aspirations of each party to the negotiations. Finally, the solutions reached by the parties are evaluated.
    Źródło:
    Decision Making in Manufacturing and Services; 2018, 12, 1-2; 33-44
    1896-8325
    2300-7087
    Pojawia się w:
    Decision Making in Manufacturing and Services
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-12 z 12

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