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Статті в журналах з теми "Multicriteria problem"

Автор: Grafiati

Опубліковано: 28 травня 2022

Оновлено: 31 липня 2025

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1

Gogodze, Joseph. "Ranking Methods for Multicriteria Decision-Making: Application to Benchmarking of Solvers and Problems." Scientific Programming 2021 (July 11, 2021): 1–14. http://dx.doi.org/10.1155/2021/5513860.

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Анотація:

Evaluating the performance assessments of solvers (e.g., for computation programs), known as the solver benchmarking problem, has become a topic of intense study, and various approaches have been discussed in the literature. Such a variety of approaches exist because a benchmark problem is essentially a multicriteria problem. In particular, the appropriate multicriteria decision-making problem can correspond naturally to each benchmark problem and vice versa. In this study, to solve the solver benchmarking problem, we apply the ranking-theory method recently proposed for solving multicriteria

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2

Scarelli, Antonino, and Subhash C. Narula. "A multicriteria assignment problem." Journal of Multi-Criteria Decision Analysis 11, no. 2 (2002): 65–74. http://dx.doi.org/10.1002/mcda.317.

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3

Kochkarov, Rasul. "Multicriteria Optimization Problem on Prefractal Graph." Mathematics 10, no. 6 (2022): 930. http://dx.doi.org/10.3390/math10060930.

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Even among single-criteria discrete problems, there are NP-hard ones. Multicriteria problems on graphs in many cases become intractable. Currently, priority is given to the study of applied multicriteria problems with specific criteria; there is no classification of criteria according to their type and content. There are few studies with fuzzy criteria, both weight and topological. Little attention is paid to the stability of solutions, and this is necessary when modeling real processes due to their dynamism. It is also necessary to study the behavior of solution sets for various general and i

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4

Podoliaka, Oksana, and Aleksii Podoliaka. "SOLVING OF TWO-CRITERION TRANSPORT PROBLEM BASED ON BLOCK NORMALIZATION." Bulletin of Kharkov National Automobile and Highway University 1, no. 92 (2021): 60. http://dx.doi.org/10.30977/bul.2219-5548.2021.92.1.60.

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Problem. Practical tasks of transport optimization are inherently multi-criteria. Their nature is such that with the improvement of some quality criteria, others deteriorate. It is very difficult to reduce multi-criteria problems to single-criteria ones in the general case. Therefore, much attention has recently been paid to solving discrete problems in multicriteria productions. An approach to solving a complex two-criteria transport problem is considered, the first criterion of which has a wide range, and the second is extremely narrow. To solve the problem, it is proposed to use nonlinear b

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5

Stiglmayr, Michael, José Rui Figueira, and Kathrin Klamroth. "On the multicriteria allocation problem." Annals of Operations Research 222, no. 1 (2013): 535–49. http://dx.doi.org/10.1007/s10479-013-1356-x.

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6

Zhang, W. Y. "Well-Posedness of MultiCriteria Network Equilibrium Problem." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/507376.

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New notions ofϵ-equilibrium flow andξk0-ϵ-equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vectorϵ-equilibrium pattern flow andξk0-ϵ-equilibrium flow is established. Then, the well-posedness of multicriteria network equilibrium problem is discussed.

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7

Voronin, Albert, and Alina Savchenko. "Compromise and Consensus in Multicriteria Decision-Making." Information Theories and Applications 28, no. 4 (2021): 336–50. http://dx.doi.org/10.54521/ijita28-04-p02.

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Анотація:

Various approaches to solving multicriteria problems are considered, depending on the role of constraints in the problem statement. If the constraints are fixed and specified, then the calculation algorithm includes the preferences of the decision maker, and the corresponding multicriteria problem has a fundamentally compromise solution. If the values of the restrictions can be varied, then it becomes possible to obtain consensus decisions, and the calculation algorithm is free of heuristic elements.

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8

Genova, Krasimira, Leonid Kirilov, and Vasil Guljashki. "New Reference-Neighbourhood Scalarization Problem for Multiobjective Integer Programming." Cybernetics and Information Technologies 13, no. 1 (2013): 104–14. http://dx.doi.org/10.2478/cait-2013-0010.

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Abstract Scalarization is a frequently used approach for finding efficient solutions that satisfy the preferences of the Decision Maker (DM) in multicriteria optimization. The applicability of a scalarization problem to solve integer multicriteria problems depends on the possibilities it provides for the decrease of the computing complexity in finding optimal solutions of this class of problems. This paper presents a reference-neighbourhood scalarizing problem, possessing properties that make it particularly suitable for solving integer problems. One of the aims set in this development has als

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9

Tang, Xin. "A multicriteria sectorization problem in cartography." 4OR 12, no. 3 (2014): 295–96. http://dx.doi.org/10.1007/s10288-013-0253-0.

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10

Temis, Y. M., and D. A. Yakushev. "Multicriteria optimal design turbomachine disk." Izvestiya MGTU MAMI 6, no. 2-2 (2012): 330–36. http://dx.doi.org/10.17816/2074-0530-68557.

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Modern concepts of using optimization technologies for structural design are considered. Several approaches of optimization problems for compressor disk are considered. The problem of total weight minimization under certain stress and stiffness constraints is investigated. All results were obtained using developed FE analysis program connected with SQP optimization procedure.

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11

León Santiesteban, Martín, and Juan Carlos Leyva López. "A multicriteria decision aid for evaluating the competitiveness of tourist destinations in the Northwest of Mexico." Turismo y Sociedad 21 (December 6, 2017): 51–67. http://dx.doi.org/10.18601/01207555.n21.03.

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This work deals with the problem of comparing the competitiveness of tourist destinations as a multicriteria ranking problem. Comparing tourist destinations is a complex problema because they present wide heterogeneity between them. The Crounch-Ritchie model is used as the main approach for analyzing tourist the competitiveness of tourist destinations. Thereby, we structure the problem as a multicriteria ranking problem for comparing and ranking the destinations with highest competitiveness as the preference direction. For this project, we use the main tourist destinations in the Northwest of

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12

Rouba, Baroudi, and Safia Nait-Bahloul. "Towards Identifying Multicriteria Outliers." International Journal of Decision Support System Technology 10, no. 3 (2018): 27–38. http://dx.doi.org/10.4018/ijdsst.2018070102.

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This article tackles the problem of outlier detection in the multicriteria decision aid (MCDA) field. The authors propose an outlier detection method based on binary outranking relations and Local Outlier Factor (LOF) algorithm. The outlier is detected by applying LOF algorithm on the distribution of the outranking relations generated by a multicriteria outranking method. The proposed approach is illustrated on an artificial example and evaluated on a real life financial problem, the country risk problem.

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13

Vujosevic, Mirko, and Milan Stanojevic. "A bicriterion Steiner tree problem on graph." Yugoslav Journal of Operations Research 13, no. 1 (2003): 25–33. http://dx.doi.org/10.2298/yjor0301025v.

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This paper presents a formulation of bicriterion Steiner tree problem which is stated as a task of finding a Steiner tree with maximal capacity and minimal length. It is considered as a lexicographic multicriteria problem. This means that the bottleneck Steiner tree problem is solved first. After that, the next optimization problem is stated as a classical minimums Steiner tree problem under the constraint on capacity of the tree. The paper also presents some computational experiments with the multicriteria problem.

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14

Zizovic, Malisa, and Miloljub Albijanić. "An Implementation of the Entropy Method for Determining Weighing Coefficients in a Multicriteria Optimization of Public Procurements." Spectrum of Engineering and Management Sciences 3, no. 1 (2025): 28–42. https://doi.org/10.31181/sems31202528z.

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Анотація:

Determining the weights of criteria is a key problem in multicriteria analysis models. The problem of choosing an appropriate method of determining criteria weights in problems of multicriteria decision-making (MCDM) is a very important stage. Most authors suggest classifying the models of determining the weights of criteria into subjective and objective models. This paper presents the application of the Entropy method for determining criteria weights. The Entropy method is tested in the MCDM problem in public procurements. The results show that the Entropy method shouldn't be used as a correc

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15

Piegat, Andrzej, and Wojciech Sałabun. "Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method." Applied Computational Intelligence and Soft Computing 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/536492.

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This paper presents a new, nonlinear, multicriteria, decision-making method: the characteristic objects (COMET). This approach, which can be characterized as a fuzzy reference model, determines a measurement standard for decision-making problems. This model is distinguished by a constant set of specially chosen characteristic objects that are independent of the alternatives. After identifying a multicriteria model, this method can be used to compare any number of decisional objects (alternatives) and select the best one. In the COMET, in contrast to other methods, the rank-reversal phenomenon

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16

Al-Nuaimy, Adawiyah, and Tariq Abdul-Razaq. "Approximation Solutions For Multicriteria Scheduling Problems." Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), no. 2 (October 15, 2021): 161–79. http://dx.doi.org/10.55562/jrucs.v34i2.288.

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This paper presents local search algorithms for finding approximation solutions of the multicriteria scheduling problems within the single machine context, where the first problem is the sum of maximum tardiness and maximum late work and the second problem is the sum of total late work and maximum late work. Late work criterion estimates the quality of a schedule based on durations of late parts of jobs. Local search algorithms (descent method (DM), simulated annealing (SA) and genetic algorithm (GA))are implemented. Based on results of computational experiments, conclusions are formulated on

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17

Medrano, Cesar, Gastelum Alonso, Octavio Lafarga, and Jose Cervantes. "MCClusteringSM: An approach for the multicriteria clustering problem based on a credibility similarity measure." Computer Science and Information Systems, no. 00 (2024): 33. http://dx.doi.org/10.2298/csis230302033m.

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Multicriteria clustering problem has been studied and applied scarcely. When a multicriteria clustering problem is tackled with an outranking approach, it is necessary to include preferences of decision makers on the raw dataset, e.g., weights and thresholds of the evaluation criteria. Then, it is necessary to conduct a process to obtain a comprehensive model of preferences represented in a fuzzy or crisp outranking relation. Subsequently, the model can be exploited to derive a multicriteria clustering. This work presents an exhaustive search approach using a credibility similarity measure to

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18

Rouba, Baroudi, and Safia Nait Bahloul. "A Multicriteria Clustering Approach Based on Similarity Indices and Clustering Ensemble Techniques." International Journal of Information Technology & Decision Making 13, no. 04 (2014): 811–37. http://dx.doi.org/10.1142/s0219622014500631.

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This paper deals with the problem of multicriteria clusters construction. The aim is to propose a multicriteria clustering procedure aiming at discovering data structures from a multicriteria perspective by defining a dissimilarity measure which takes into account the multicriteria nature of the problem. Comparing two objects in the multicriteria context is based on the preference information that expresses whether these objects are indifferent, incomparable or one is preferred to the other. The proposed approach uses this preference information with an agreement–disagreement similarity index

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19

Laise, Domenico, Laura Marraro, and Gianpaolo Iazzolino. "Metachoice for benchmarking: a case study." Benchmarking: An International Journal 22, no. 3 (2015): 338–53. http://dx.doi.org/10.1108/bij-01-2013-0005.

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Purpose – In a previous paper the authors emphasized the advantages of multicriteria methodologies to evaluate business performance. The purpose of this paper is to highlight the metachoice problem that always arises in a benchmark multicriteria analysis that can be synthesized as follows: “how to choose an algorithm to choose?” Design/methodology/approach – In order to perform a benchmark analysis, a set of criteria must be chosen. In the Balanced Scorecard approach, for example, key performance indicators (KPIs) are grouped in four different perspectives: financial, customer, internal proces

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20

Costa, Helder Gomes. "AHP-De Borda: a hybrid multicriteria ranking method." Brazilian Journal of Operations & Production Management 14, no. 3 (2017): 281. http://dx.doi.org/10.14488/bjopm.2017.v14.n3.a1.

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De Borda voting method was proposed in the period of French revolution to be used in a multiple decision-maker environment. Later, it was adapted to multicriteria ranking problems. The adoption of criteria weights in De Borda modeling is an evolution of the original De Borda method; despite this fact, evolution does not approach how to define the weights, that is: the weights are an input to De Borda. The proposal is to segment the problem into two ones. The first is a weight assignment problem and was approached through AHP modeling. The second problem is a ranking problem, being approached t

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21

Rettieva, Anna. "Dynamic Multicriteria Games with Finite Horizon." Mathematics 6, no. 9 (2018): 156. http://dx.doi.org/10.3390/math6090156.

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Анотація:

The approaches to construct optimal behavior in dynamic multicriteria games with finite horizon are presented. To obtain a multicriteria Nash equilibrium, the bargaining construction (Nash product) is adopted. To construct a multicriteria cooperative equilibrium, a Nash bargaining scheme is applied. Dynamic multicriteria bioresource management problem with finite harvesting times is considered. The players’ strategies and the payoffs are obtained under cooperative and noncooperative behavior.

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22

Rettieva, Anna N., and Анна Николаевна Реттиева. "Cooperative multicriteria dynamic games: application to transportation problems." Mathematical Game Theory and Applications 16, no. 3 (2024): 58–76. https://doi.org/10.17076/mgta_2024_3_80.

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Cooperation plays an important role in dynamic games related to resource allocation problems. The paper investigates multicriteria dynamic game of resource usage. Noncooperative and cooperative strategies and payoffs are obtained via the bargaining schemes. To maintain the cooperative behavior the incentive equilibrium concept, where the center controls the compliance with the cooperative agreement, is adopted. The presented approaches are applied for multicriteria dynamic transportation problem.

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23

SATO, MIKA, and YOSHIHARU SATO. "ON A MULTICRITERIA FUZZY CLUSTERING METHOD FOR 3-WAY DATA." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 02, no. 02 (1994): 127–42. http://dx.doi.org/10.1142/s0218488594000122.

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Анотація:

In this paper, we discuss the fuzzy clustering for 3-way data which is composed of objects, attributes and situations. In the case of 2-way data, the clustering of objects are usually based on the values of attributes. However, for 3-way data, a clustering of objects is not always coincident for all situations, because the values of attributes vary with each situation. Therefore, the clustering problem for 3-way data can be regarded as a multicriteria optimization problem. It is known that the practical solutions for a multicriteria optimization problem are Pareto efficient solutions. In a mul

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24

Zeleňáková, Martina, Ibrahim Gargar, and Pavol Purcz. "Multicriteria analysis in hazards assessment in Libya." Selected Scientific Papers - Journal of Civil Engineering 7, no. 2 (2012): 59–70. http://dx.doi.org/10.2478/v10299-012-0007-0.

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Анотація:

Abstract Environmental hazards (natural and man-made) have always constituted problem in many developing and developed countries. Many applications proved that these problems could be solved through planning studies and detailed information about these prone areas. Determining time and location and size of the problem are important for decision makers for planning and management activities. It is important to know the risk represented by those hazards and take actions to protect against them. Multicriteria analysis methods - Analytic hierarchy process, Pairwise comparison, Ranking method are u

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25

Romero-Gélvez, Jorge Iván, Félix Antonio Cortes-Aldana, and Giovanni Franco-Sepúlveda. "Compromise solutions in mining method selection - case study in colombian coal mining." DYNA 82, no. 191 (2015): 127–36. http://dx.doi.org/10.15446/dyna.v82n191.42966.

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The purpose of this paper is to present a quantitative approach to the selection of the mining extraction method by developing a methodological problem of discrete multicriteria decision making (MCDM), this approach seeks to support the process of planning and mine design. Select the extractive method is one of the problems of Discrete Multicriteria Decision (MCDM) where decision-makers had problems in assigning weight to each criterion. To solve this problem, this article suggests the ENTROPY method. This paper wants to handle the subjectivity inherent to this problem by using the VIKOR metho

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26

Matusov, Leonid B. "The vector optimization and modeling of a technical systems." MATEC Web of Conferences 224 (2018): 04020. http://dx.doi.org/10.1051/matecconf/201822404020.

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The construction a feasible solution set with a given accuracy is a main problem in multicriteria optimization and modeling. In order to construct the feasible solution set, a method called the Parameter Space Investigation has been created and successfully integrated into various fields of industry, science, and technology. Multicriteria modeling (identification) is a new direction that is of great value in applications. In the most common usage, the term “identification” means construction of the mathematical model of a system and determination of the parameters (design variables) of the mod

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27

Kus, Waclaw, and Jolanta Dziatkiewicz. "Multicriteria identification of parameters in microscale heat transfer." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 3 (2017): 587–97. http://dx.doi.org/10.1108/hff-03-2016-0109.

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Purpose The purpose of this paper is to present the multicriteria identification method used for solving the microscale heat transfer problem. The thin film exposed to ultrashort laser pulse is modeled using the finite difference method. The parameters of the model are tuned on the basis of experimental data. The multicriteria identification of the numerical model parameters is performed for subsets of experimental data. Design/methodology/approach The multicriteria identification method is used in the paper. The Pareto front for two criterions is created. The two-temperature model of heat tra

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28

Thibaut, Lust, and Teghem Jacques. "MULTICRITERIA MAINTENANCE PROBLEM RESOLVED BY TABU SEARCH." IFAC Proceedings Volumes 39, no. 3 (2006): 481–86. http://dx.doi.org/10.3182/20060517-3-fr-2903.00252.

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29

Yanushevsky, Daniel, and Rafael Yanushevsky. "Multicriteria portfolio selection problem: robust assets allocation." International Journal of Multicriteria Decision Making 6, no. 2 (2016): 101. http://dx.doi.org/10.1504/ijmcdm.2016.077870.

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30

Matos, Manuel A. "Decision under risk as a multicriteria problem." European Journal of Operational Research 181, no. 3 (2007): 1516–29. http://dx.doi.org/10.1016/j.ejor.2005.11.057.

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31

Shang, Jen S. "Multicriteria facility layout problem: An integrated approach." European Journal of Operational Research 66, no. 3 (1993): 291–304. http://dx.doi.org/10.1016/0377-2217(93)90218-c.

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32

Voropai, N. I., and B. Bat-Undraal. "Multicriteria Reconfiguration of Distribution Network with Distributed Generation." Journal of Electrical and Computer Engineering 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/317315.

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The paper addresses the problem of multicriteria reconfiguration of distribution network with distributed generation according to the criterion of minimum power loss under normal conditions and the criterion of power supply reliability under postemergency conditions. Efficient heuristic and multicriteria methods are used to solve the problem including advanced ant colony algorithm for minimum loss reconfiguration of distribution network, the sorting-out algorithm of cell formation for island performing in postemergency network, and the successive concessions method for multicriteria decision m

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33

Mendecka, Barbara, and Joachim Kozioł. "Application of the method of data reconciliation for minimizing uncertainty of the weight function in the multicriteria optimization model." Archives of Thermodynamics 36, no. 1 (2015): 83–92. http://dx.doi.org/10.1515/aoter-2015-0006.

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Abstract The multicriteria decision process consists of five main steps: definition of the optimisation problem, determination of the weight structure of the decision criteria, design of the evaluation matrix, selection of the optimal evaluation method and ranking of solutions. It is often difficult to obtain the optimal solution to a multicriterion problem. The main reason is the subjective element of the model – the weight functions of the decision criteria. Expert opinions are usually taken into account in their determination. The aim of this article is to present a novel method of minimizi

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34

Kazmirchuk, Alina, Olena Zhdanova, Volodymyr Popenko, and Maiia Sperkach. "Solving a multicriteria scheduling problem using a genetic algorithm." Advanced Information Systems 5, no. 1 (2021): 100–106. http://dx.doi.org/10.20998/2522-9052.2021.1.14.

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Анотація:

The work is devoted to the multiobjective task of scheduling, in which a given set of works must be performed by several performers of different productivity. A certain number of bonuses is accrued for the work performed by the respective executor, which depends on the time of work performance. The criteria for evaluating the schedule are the total time of all jobs and the amount of bonuses spent. In the research the main approaches to solving multiobjective optimization problems were analyzed, based on which the Pareto approach was chosen. The genetic algorithm was chosen as the algorithm. Th

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35

Voronin, Albert, and Alina Savchenko. "FORMALIZED METHOD FOR SOLVING MULTICRITERIA PROBLEMS." International Scientific Technical Journal "Problems of Control and Informatics" 2, no. 10 (2022): 141–48. http://dx.doi.org/10.34229/2786-6505-2022-2-10.

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Анотація:

A model of multicriteria optimization is obtained, which allows the object to realize all the goals set in the entire range of possible situations. A systematic approach to the problem of vector optimization made it possible to combine models of individual trade-off schemes into a single integral structure that adapts to the situation of making a multicriteria decision. The advantage of the concept of a non-linear trade-off scheme is the possibility of making a multicriteria decision formally, without the direct participation of a person. At the same time, on a single ideological basis, both t

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36

Zhang, Qian, Kin Keung Lai, and Jorome Yen. "Multicriteria supplier selection using acceptability analysis." Advances in Mechanical Engineering 11, no. 10 (2019): 168781401988371. http://dx.doi.org/10.1177/1687814019883716.

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Анотація:

The supplier selection problem has been largely explored in the extant literature and attracted considerable attention of academics and purchasing managers. Practical supplier selection problem is usually revolved around multicriteria and a committee of experts. However, even using the exact values of the input data, certain experts may generate uncertain evaluation results on a supplier, because the exact weights with respect to each criterion are extremely difficult to reach a group consensus. In this article, first the interval data to describe all experts’ evaluation on all suppliers are f

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37

Jankowski, P. "Mixed-Data Multicriteria Evaluation for Regional Planning: A Systematic Approach to the Decisionmaking Process." Environment and Planning A: Economy and Space 21, no. 3 (1989): 349–62. http://dx.doi.org/10.1068/a210349.

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In this paper multicriteria evaluation is dealt with as a tool for the public decisionmaking process. In the first part of the paper the systematic approach to multicriteria evaluation is presented, and the consecutive steps of the evaluation process are outlined. This is followed in the second part by the application of mixed-data multicriteria evaluation to the empirical problem of resource allocation in Poland. Mixed-data multicriteria evaluation is presented as a decision-support tool and as a means of facilitating a bargaining process between the involved parties.

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38

Bugaev, Yu V., L. A. Korobova, S. V. Polyanskikh, and G. N. Egorova. "Multi-criteria optimization of food production by an example of optimization of the process of rendering poultry fat in the presence of electroactivated liquid." IOP Conference Series: Earth and Environmental Science 1052, no. 1 (2022): 012132. http://dx.doi.org/10.1088/1755-1315/1052/1/012132.

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Abstract To date, in the production and management of the food industry, the mathematical foundations of solving problems according to one criterion (one-criterion optimization) have been well studied. However, in various areas of engineering solutions, there are multicriteria problems in which a system or process must be optimized according to several criteria simultaneously. Since individual criteria usually conflict with each other, as a rule, no set of input parameters would achieve the optimum of all criteria simultaneously. In this regard, there is uncertainty in the choice of the optima

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39

Borisovich Vilkov, Valeriy, Andrey Klimentevich Chernykh, Igor Gennadevich Malygin, Yuriy Dmitrievich Motorygin, and Alexandr Vladimirovich Skripka. "The elimination of the consequences of transport emergencies." Nexo Revista Científica 34, no. 06 (2021): 1677–88. http://dx.doi.org/10.5377/nexo.v34i06.13128.

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The problem of multicriteria optimization in relation to the decisions made about organizing the material and technical support for equipment and personnel of the Ministry of the Russian Federation for Civil Defence, Emergencies and Elimination of Consequences of Natural Disasters (EMERCOM of Russia) in the context of emergency response on transport has been explored in this article. The existing approaches have been indicated, and another approach to building a single generalized criterion by the given partial criteria for the multicriteria optimization problem has been proposed. The verbal s

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40

Rettieva, Anna. "Rational Behavior in Dynamic Multicriteria Games." Mathematics 8, no. 9 (2020): 1485. http://dx.doi.org/10.3390/math8091485.

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We consider a dynamic, discrete-time, game model where n players use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium, a modified bargaining scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games. To stabilize the multicriteria cooperative solution a time-consistent payoff distribution procedure is constructed. The conditions for rational behavior, namely ir

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41

Lupşa, Liana, and Nicolae Popovici. "Generalized unimodal multicriteria optimization." Journal of Numerical Analysis and Approximation Theory 35, no. 1 (2006): 65–70. http://dx.doi.org/10.33993/jnaat351-1012.

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The aim of this paper is to characterize the sets of weakly-efficient solutions and efficient solutions for multicriteria optimization problem involving generalized unimodal objective functions. An implementable algorithm which completely determines these sets is given for the particular framework of discrete feasible domains.

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Bowen, Gong, and Lin Ciyun. "A Personalized Urban Multicriteria Shortest Path Stochastic Optimization Algorithm." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/987358.

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Drivers’ route choice behavior is usually personalized and multicriteria in practice. Therefore, the urban shortest path problem is the personalized urban multicriteria shortest path (PUMSP) problem. However, the solutions of the PUMSP problem are difficult to meet the drivers’ travel habits in the state of the art. To solve this problem, first, a new stochastic optimization algorithm based on the iterative calculation of a valid route set is proposed in this paper. The effective and reasonable path searching mechanism is designed based on drivers’ route choice habits. Then, the evaluation met

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43

Fei, Liguo, Yong Hu, Fuyuan Xiao, Luyuan Chen, and Yong Deng. "A Modified TOPSIS Method Based onDNumbers and Its Applications in Human Resources Selection." Mathematical Problems in Engineering 2016 (2016): 1–14. http://dx.doi.org/10.1155/2016/6145196.

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Multicriteria decision-making (MCDM) is an important branch of operations research which composes multiple-criteria to make decision. TOPSIS is an effective method in handling MCDM problem, while there still exist some shortcomings about it. Upon facing the MCDM problem, various types of uncertainty are inevitable such as incompleteness, fuzziness, and imprecision result from the powerlessness of human beings subjective judgment. However, the TOPSIS method cannot adequately deal with these types of uncertainties. In this paper, aD-TOPSIS method is proposed for MCDM problem based on a new effec

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Aalae, Benki, Habbal Abderrahmane, Mathis Gael, and Beigneux Olivier. "Multicriteria shape design of an aerosol can." Journal of Computational Design and Engineering 2, no. 3 (2015): 165–75. http://dx.doi.org/10.1016/j.jcde.2015.03.003.

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Abstract One of the current challenges in the domain of the multicriteria shape optimization is to reduce the calculation time required by conventional methods. The high computational cost is due to the high number of simulation or function calls required by these methods. Recently, several studies have been led to overcome this problem by integrating a metamodel in the overall optimization loop. In this paper, we perform a coupling between the Normal Boundary Intersection – NBI – algorithm with Radial Basis Function – RBF – metamodel in order to have a simple tool with a reasonable calculatio

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45

Zhukovskiy, V. I., L. V. Zhukovskaya, and Y. S. Mukhina. "A new approach to guaranteed solutions of multicriteria choice problems: Pareto consideration of Savage–Niehans risk and outcomes." Таврический вестник информатики и математики, no. 1 (56), 2023 (June 26, 2023): 42–61. https://doi.org/10.5281/zenodo.8102397.

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This article considers three new approaches to important problems of mathematical game theory and multicriteria choice.The first approach ensures payoff increase with simultaneous risk reduction in the Savage–Niehans sense in multicriteria choice problem and noncooperative games. The second approach allow us to stabilize coalitional structures in cooperative games without side payments under uncertainty. The third approach serves to integrate the selfish Nash equilibrium with the altruistic Berge equilibrium. Note that the investigations involve a special Germeier convolution of criteria

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46

Polyakova, A. S., and L. V. Lipinskiy. "Decision Rule Ensemble Formation Via a Multicriteria Evolutionary Algorithm for the Problem of Human Emotion Analysis in Audio Data." Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, no. 4 (127) (August 2019): 45–61. http://dx.doi.org/10.18698/0236-3933-2019-4-45-61.

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One of the most important problems at the current stage of social informatisation is development of human-machine interaction systems, including automated human emotion recognition systems. It is possible to describe human emotions using a combination of two parameters: Valence, which represents how attractive an emotion is (referring to positive and negative emotions), and Arousal, denoting the strength of the emotion (that is, degree of agitation). These parameters are real numbers. We propose to employ ensemble learning methods to improve prediction accuracy. We evaluate the accuracy of an

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47

Реттиева, Анна, and Anna Rettieva. "COALITION FORMATION IN DYNAMIC MULTICRITERIA GAMES." Mathematical Game Theory and Applications 10, no. 2 (2019): 40–61. http://dx.doi.org/10.17076/mgta2_4.

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In this paper new approaches to obtain optimal behavior in dynamic multicriteria games are constructed. The multicriteria Nash equilibrium is obtained via the Nash bargaining design (Nash products), and the cooperative equilibrium is determined by the Nash bargaining procedure for the entire planning horizon. Coalition formation process in dynamic multicriteria games is investegated. To construct the characteristic function the Nash bargaining scheme is applied where the multicriteria Nash equilibrium plays the role of the status-quo points. Two variants of characteristic function's determinat

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48

Sosa, Wilfredo, and Fernanda M. P. Raupp. "A New Approach to a Multicriteria Optimization Problem." Numerical Algorithms 35, no. 2-4 (2004): 233–47. http://dx.doi.org/10.1023/b:numa.0000021770.77789.b7.

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Troeva, Marianna S., and Oleg A. Malafeyev. "A Weak Equilibrium Solution for Multicriteria Optimization Problem." IFAC Proceedings Volumes 33, no. 16 (2000): 363–68. http://dx.doi.org/10.1016/s1474-6670(17)39658-1.

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50

Ida, Kenichi, Mitsuo Gen, and Yinzhen Li. "Neural networks for solving multicriteria solid transportation problem." Computers & Industrial Engineering 31, no. 3-4 (1996): 873–77. http://dx.doi.org/10.1016/s0360-8352(96)00280-x.

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