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1

Grierson, Donald E. "Pareto multi-criteria decision making." Advanced Engineering Informatics 22, no. 3 (2008): 371–84. http://dx.doi.org/10.1016/j.aei.2008.03.001.

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Kuleshova, Galina, and Oleg Uzhga-Rebrov. "A Fuzzy Version of the TOPSIS Method in Multi-Criteria Decision-Making Tasks." Information Technology and Management Science 24 (December 7, 2021): 53–59. http://dx.doi.org/10.7250/itms-2021-0008.

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Choice and decision making are an integral part of the purposeful activities of people in all areas of public and private life. Tasks of multi-criteria decision making are characterised by the fact that alternative decisions are evaluated by a set of criteria and the concept of a decision and its outcome coincide. The defining concept in such problems is the concept of a set of Pareto optimal decisions (Pareto set). This set forms alternative decisions that are not comparable in terms of the set of evaluation criteria. The choice of the optimal decision in the Pareto set can be performed only
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3

Cervone, H. Frank. "Systematic vs intuitive decision making and the Pareto principle." OCLC Systems & Services: International digital library perspectives 31, no. 3 (2015): 108–11. http://dx.doi.org/10.1108/oclc-05-2015-0005.

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Purpose – The purpose of this paper is to discuss some of the primary factors that inhibit efficient decision-making in teams and propose some methods to help facilitate the process more effectively. Teams often have a difficult time navigating the decision-making process. Even with a well-defined process, decision-making can be derailed by failing to set and maintain priorities or by ineffectively evaluating the significance of individual decisions that need to be made within the larger project scope. Design/methodology/approach – This article reviews some of the applicable literature related
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4

Giagkiozis, Ioannis, and Peter J. Fleming. "Pareto Front Estimation for Decision Making." Evolutionary Computation 22, no. 4 (2014): 651–78. http://dx.doi.org/10.1162/evco_a_00128.

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The set of available multi-objective optimisation algorithms continues to grow. This fact can be partially attributed to their widespread use and applicability. However, this increase also suggests several issues remain to be addressed satisfactorily. One such issue is the diversity and the number of solutions available to the decision maker (DM). Even for algorithms very well suited for a particular problem, it is difficult—mainly due to the computational cost—to use a population large enough to ensure the likelihood of obtaining a solution close to the DM's preferences. In this paper we pres
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Scott, Michael J., and Erik K. Antonsson. "Compensation and Weights for Trade-offs in Engineering Design: Beyond the Weighted Sum." Journal of Mechanical Design 127, no. 6 (2005): 1045–55. http://dx.doi.org/10.1115/1.1909204.

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Multicriteria decision support methods are common in engineering design. These methods typically rely on a summation of weighted attributes to accomplish trade-offs among competing objectives. It has long been known that a weighted sum, when used for multicriteria optimization, may fail to locate all points on a nonconvex Pareto frontier. More recent results from the optimization literature relate the curvature of an objective function to its ability to capture Pareto points, but do not consider the significance of the objective function parameters in choosing one Pareto point over another. A
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Romanuke, Vadim. "Pareto-efficient strategies in 2-person games in staircase-function continuous and finite spaces." Decision Making: Applications in Management and Engineering 5, no. 1 (2022): 27–49. http://dx.doi.org/10.31181/dmame0316022022r.

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A tractable method of solving noncooperative 2-person games in which strategies are staircase functions is suggested. The solution is meant to be Pareto-efficient. The method considers any 2-person staircase-function game as a succession of 2-person games in which strategies are constants. For a finite staircase-function game, each constant-strategy game is a bimatrix game whose size is sufficiently small to solve it in a reasonable time. It is proved that any staircase-function game has a single Pareto-efficient situation if every constant-strategy game has a single Pareto-efficient situation
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Tappeta, Ravindra V., and John E. Renaud. "Interactive Multiobjective Optimization Design Strategy for Decision Based Design." Journal of Mechanical Design 123, no. 2 (1999): 205–15. http://dx.doi.org/10.1115/1.1358302.

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This research focuses on multi-objective system design and optimization. The primary goal is to develop and test a mathematically rigorous and efficient interactive multi-objective optimization algorithm that takes into account the Decision Maker’s (DM’s) preferences during the design process. An interactive MultiObjective Optimization Design Strategy (iMOODS) has been developed in this research to include the Pareto sensitivity analysis, Pareto surface approximation and local preference functions to capture the DM’s preferences in an Iterative Decision Making Strategy (IDMS). This new multiob
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Wang, Xue Wu, and Xiao Xin Zang. "Cooperative Pricing Decision Model in Supply Chain." Advanced Materials Research 228-229 (April 2011): 789–93. http://dx.doi.org/10.4028/www.scientific.net/amr.228-229.789.

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This paper considers a retailer who wishes to procure a kind of product to meet customer’s demand and shows that the supplier and the retailer’s cooperetive pricing decision . We gives the prices of Pareto optimal equlibrium and compares the prices with that of cooperative supply chain and find that noncooperative system profit is less than cooperative system profit. Furthermore, we shows that on some assumption, Pareto optimal price policy is equivalent to jointly decision policy, i.e., Pareto optimal price policy can reach the whole system maximum profit, and the numerical example indicates
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9

Gogodze, Joseph. "Ranking-Theory Methods for Solving Multicriteria Decision-Making Problems." Advances in Operations Research 2019 (April 1, 2019): 1–7. http://dx.doi.org/10.1155/2019/3217949.

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The Pareto optimality is a widely used concept for the multicriteria decision-making problems. However, this concept has a significant drawback—the set of Pareto optimal alternatives usually is large. Correspondingly, the problem of choosing a specific Pareto optimal alternative for the decision implementation is arising. This study proposes a new approach to select an “appropriate” alternative from the set of Pareto optimal alternatives. The proposed approach is based on ranking-theory methods used for ranking participants in sports tournaments. In the framework of the proposed approach, we b
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Craft, Ralph C., and Charles Leake. "The Pareto principle in organizational decision making." Management Decision 40, no. 8 (2002): 729–33. http://dx.doi.org/10.1108/00251740210437699.

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11

Lewis, Patrick K., Morgan W. P. Tackett, and Christopher A. Mattson. "Considering dynamic Pareto frontiers in decision making." Optimization and Engineering 15, no. 4 (2013): 837–54. http://dx.doi.org/10.1007/s11081-013-9238-2.

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12

Appiah, Paul B., and John R. Sturgul. "Pareto optimality for rational comprehensive decision making." International Journal of Surface Mining, Reclamation and Environment 7, no. 2 (1993): 77–79. http://dx.doi.org/10.1080/09208119308964691.

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13

Marques, S., V. A. Bushenkov, A. V. Lotov, M. Marto, and J. G. Borges. "Bi-Level Participatory Forest Management Planning Supported by Pareto Frontier Visualization." Forest Science 66, no. 4 (2019): 490–500. http://dx.doi.org/10.1093/forsci/fxz014.

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Abstract This research addresses the problem of forested landscape management planning in contexts characterized by multiple ecosystem services and multiple stakeholders. A new methodology for participatory landscape-level forest management is proposed. Specifically, a bilevel representation is used, whereas models of subsystems are used for constructing an integrated model of the master problem. Participatory workshops and interactive visualization of the Pareto frontier are used to support the solution of the multi-objective optimization upper- and lower-level problems. The visualization is
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Anysz, Hubert, Aleksander Nicał, Željko Stević, Michał Grzegorzewski, and Karol Sikora. "Pareto Optimal Decisions in Multi-Criteria Decision Making Explained with Construction Cost Cases." Symmetry 13, no. 1 (2020): 46. http://dx.doi.org/10.3390/sym13010046.

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In multi-criteria decision-making (MCDM) problems the decision-maker is often forced to accept a not ideal solution. If the ideal choice exists, it would be certainly chosen. The acceptance of a non- ideal solution leads to some inadequate properties in the chosen solution. MCDM methods help the decision-maker to structure his needs considering different units, in which the properties of the solutions are expressed. Secondly, with MCDM tools the assessment of the available solutions can be calculated with consideration of the decision-maker’s needs. The incorporation of the cost criterion into
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15

Wei, Shuang, and Henry Leung. "A Novel Ranking Method Based on Subjective Probability Theory for Evolutionary Multiobjective Optimization." Mathematical Problems in Engineering 2011 (2011): 1–10. http://dx.doi.org/10.1155/2011/695087.

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Most of the engineering problems are modeled as evolutionary multiobjective optimization problems, but they always ask for only one best solution, not a set of Pareto optimal solutions. The decision maker's subjective information plays an important role in choosing the best solution from several Pareto optimal solutions. Generally, the decision-making processing is implemented after Pareto optimality. In this paper, we attempted to incorporate the decider's subjective sense with Pareto optimality for chromosomes ranking. A new ranking method based on subjective probability theory was thus prop
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Peng, Wenbo, Yanzi Xia, Baodong Miao, Yuhan Nie, Chi Zhang, and Jun Zhang. "A Research on Evaluating General Design of Ultra-long Tunnel Based on Pareto-optimal Weight." Advances in Computer and Materials Scienc Research 1, no. 1 (2024): 117. http://dx.doi.org/10.70114/acmsr.2024.1.1.p117.

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In tunnel engineering, the choice of general design scheme critically impacts safety, economy, and sustainability. To optimize this for ultra-long tunnels, a Pareto optimal weight-based evaluation system was developed. It encompasses design elements, construction conditions, operation risks, and economic impacts. A multi-expert decision matrix using binary language structure was built, and a three-objective Pareto model determined optimal weights. Evaluation cloud maps were generated to compare schemes, revealing the K scheme as optimal for the Tianshan Shengli Tunnel. This system offers a sci
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17

Marto, Marco, Vladimir A. Bushenkov, Keith M. Reynolds, José G. Borges, and Susete Marques. "A Web-Based Approach for Visualizing Interactive Decision Maps." Information 12, no. 1 (2020): 9. http://dx.doi.org/10.3390/info12010009.

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This research expands the applicability of the Feasible Goals (FGoal) Pareto frontier multiple criteria method to display the Edgeworth–Pareto hull using interactive decision maps (IDMs). Emphasis is placed upon the development of a communication architecture to display the Pareto frontiers, which includes a client device, a web server, and a dedicated computation server implemented with sockets. A standalone application on the latter processes client-server requests and responses to display updated information on the client. Specifically, the dedicated computation server is responsible for ca
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18

Goloshchapova, Lyudmila V., Malika D. Yusupova, and Ali A. Khalidov. "MULTICRITERIA OPTIMIZATION ALGORITHMS FOR SUPPORTING DECISION-MAKING IN ECONOMIC SYSTEM MANAGEMENT." EKONOMIKA I UPRAVLENIE: PROBLEMY, RESHENIYA 3/5, no. 156 (2025): 4–10. https://doi.org/10.36871/ek.up.p.r.2025.03.05.001.

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This article discusses the theoretical and applied aspects of using multicriteria optimization algorithms in managing economic systems. The emphasis is on the need to make management decisions in the face of multiple conflicting goals, uncertainty in the external environment and limited resources. The article describes the main concepts of multicriteria optimization, including the concept of Pareto optimality, scalarization methods, as well as evolutionary and metaheuristic algorithms used to find effective solutions. The areas of practical application of these algorithms in economics are pres
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19

Kesireddy, Adarsh, and F. Antonio Medrano. "Elite Multi-Criteria Decision Making—Pareto Front Optimization in Multi-Objective Optimization." Algorithms 17, no. 5 (2024): 206. http://dx.doi.org/10.3390/a17050206.

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Optimization is a process of minimizing or maximizing a given objective function under specified constraints. In multi-objective optimization (MOO), multiple conflicting functions are optimized within defined criteria. Numerous MOO techniques have been developed utilizing various meta-heuristic methods such as Evolutionary Algorithms (EAs), Genetic Algorithms (GAs), and other biologically inspired processes. In a cooperative environment, a Pareto front is generated, and an MOO technique is applied to solve for the solution set. On other hand, Multi-Criteria Decision Making (MCDM) is often used
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20

Nekrasova, Mariia. "APPLICATION OF MULTI-INDICATOR QUALITY ASSESSMENT OF PARETO APPROXIMATION IN MULTI-CRITERIA DECISION MAKING." Bulletin of the National Technical University «KhPI» Series: Dynamics and Strength of Machines, no. 2 (December 24, 2024): 66–70. https://doi.org/10.20998/2078-9130.2024.2.316453.

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Supporting multi-criteria decision-making based on multi-indicator quality assessment of Pareto approximation is an important task in the field of multi-criteria optimization. Such assessment allows making more informed and accurate decisions using information about several indicators that determine the quality of solutions. Pareto approximation is an approximate set of solutions that seeks to describe the real Pareto front as accurately as possible. In this case, it is necessary to assess how well the found solutions cover or approximate the real Pareto front. Among the large number of known
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21

Farrow, M., and M. Goldstein. "Almost-Pareto Decision Sets in Imprecise Utility Hierarchies." Journal of Statistical Theory and Practice 3, no. 1 (2009): 137–55. http://dx.doi.org/10.1080/15598608.2009.10411916.

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22

Dubins, Lester E. "A group decision device: Its pareto-like optimality." Journal of Mathematical Economics 20, no. 5 (1991): 461–64. http://dx.doi.org/10.1016/0304-4068(91)90003-c.

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23

Hartikainen, Markus, Kaisa Miettinen, and Margaret M. Wiecek. "Constructing a Pareto front approximation for decision making." Mathematical Methods of Operations Research 73, no. 2 (2011): 209–34. http://dx.doi.org/10.1007/s00186-010-0343-0.

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24

Ikenaga, Akiko, and Sachiyo Arai. "Estimating Objective Weights of Pareto-Optimal Policies for Multi-Objective Sequential Decision-Making." Journal of Advanced Computational Intelligence and Intelligent Informatics 28, no. 2 (2024): 393–402. http://dx.doi.org/10.20965/jaciii.2024.p0393.

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Sequential decision-making under multiple objective functions includes the problem of exhaustively searching for a Pareto-optimal policy and the problem of selecting a policy from the resulting set of Pareto-optimal policies based on the decision maker’s preferences. This paper focuses on the latter problem. In order to select a policy that reflects the decision maker’s preferences, it is necessary to order these policies, which is problematic because the decision-maker’s preferences are generally tacit knowledge. Furthermore, it is difficult to order them quantitatively. For this reason, conv
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25

Szparaga, Ł., P. Bartosik, A. Gilewicz, and J. Ratajski. "Optimization Of Multi-Module CrN/CrCN Coatings." Archives of Metallurgy and Materials 60, no. 2 (2015): 1037–43. http://dx.doi.org/10.1515/amm-2015-0256.

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Abstract In the paper was proposed optimization procedure supporting the prototyping of the geometry of multi-module CrN/CrCN coatings, deposited on substrates from 42CrMo4 steel, in respect of mechanical properties. Adopted decision criteria were the functions of the state of internal stress and strain in the coating and substrate, caused by external mechanical loads. Using developed optimization procedure the set of optimal solutions (Pareto-optimal solutions) of coatings geometry parameters, due to the adopted decision criteria was obtained. For the purposes of analysis of obtained Pareto-o
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Beskorovainyi, Vladimir, Lyudmyla Kolesnyk, and Dr Chinwi Mgbere. "MATHEMATICAL MODELS FOR DETERMINING THE PARETO FRONT FOR BUILDING TECHNOLOGICAL PROCESSES OPTIONS UNDER THE CONDITIONS OF INTERVAL PRESENTATION OF LOCAL CRITERIA." Innovative Technologies and Scientific Solutions for Industries, no. 2 (24) (August 5, 2023): 16–26. http://dx.doi.org/10.30837/itssi.2023.24.016.

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The subject of research in the article is decision-making support processes in the tasks of optimizing technological processes (TP) at the stages of their design or reengineering. The goal of the work is to improve the efficiency of technologies of automated design of TP due to the development of mathematical models of the tasks of selecting subsets of effective design solutions with intervally specified characteristics of options. The following tasks have been solved in the article: review and analysis of the current state of the problem of supporting decision-making in the tasks of optimizat
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Schmitt, Thomas, Matthias Hoffmann, Tobias Rodemann, and Jürgen Adamy. "Incorporating Human Preferences in Decision Making for Dynamic Multi-Objective Optimization in Model Predictive Control." Inventions 7, no. 3 (2022): 46. http://dx.doi.org/10.3390/inventions7030046.

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We present a new two-step approach for automatized a posteriori decision making in multi-objective optimization problems, i.e., selecting a solution from the Pareto front. In the first step, a knee region is determined based on the normalized Euclidean distance from a hyperplane defined by the furthest Pareto solution and the negative unit vector. The size of the knee region depends on the Pareto front’s shape and a design parameter. In the second step, preferences for all objectives formulated by the decision maker, e.g., 50–20–30 for a 3D problem, are translated into a hyperplane which is th
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Balling, Richard J., John Taber, Kirsten Day, and Scott Wilson. "Land Use and Transportation Planning for Twin Cities Using a Genetic Algorithm." Transportation Research Record: Journal of the Transportation Research Board 1722, no. 1 (2000): 67–74. http://dx.doi.org/10.3141/1722-08.

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A new approach to future land use and transportation planning for high-growth cities is presented. The approach employs a genetic algorithm to efficiently search through hundreds of thousands of possible future plans. A new fitness function is developed to guide the genetic algorithm toward a Pareto set of plans for the multiple competing objectives that are involved. This set may be placed before decision makers. A Pareto set scanner also is described that assists decision makers in shopping through the Pareto set to select a plan. Some of the differences between simultaneous planning and sep
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29

Palli, N., S. Azarm, P. McCluskey та R. Sundararajan. "An Interactive Multistage ε-Inequality Constraint Method For Multiple Objectives Decision Making". Journal of Mechanical Design 120, № 4 (1998): 678–86. http://dx.doi.org/10.1115/1.2829331.

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Multiple objectives decision making (MODM) in engineering design refers to obtaining a preferred optimal solution in the context of conflicting design objectives. Problems with multiple objectives do not have a unique optimal solution but a set of Pareto optimal solutions. This paper presents a new interactive multistage MODM method which captures a decision maker’s preference structure in order to obtain a preferred Pareto solution even for non-convex problems. Representative subsets of an entire Pareto optimal set are generated and expanded based on the decision maker’s preference. The ε-con
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Szczepański, Marcin, and Andrzej Piotr Wierzbicki. "Application of multiple criteria evolutionary algorithms to vector optimisation, decision support and reference point approaches." Journal of Telecommunications and Information Technology, no. 3 (September 30, 2003): 16–33. http://dx.doi.org/10.26636/jtit.2003.3.194.

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Multiple criteria evolutionary algorithms, being essentially parallel in their character, are a natural instrument of finding a representation of entire Pareto set (set of solutions and outcomes non-dominated in criteria space) for vector optimisation problems. However, it is well known that Pareto sets for problems with more than two criteria might become complicated and their representation very time-consuming. Thus, the application of such algorithms is essentially limited to bi-criteria problems or to vector optimisation problems with more criteria but of simple structure. Even in such cas
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31

Li, Bowen, Hua Li, Qiubai Sun, and Rongjian Lv. "Optimal Control of False Information Clarification System under Major Emergencies Based on Differential Game Theory." Computational Intelligence and Neuroscience 2022 (September 23, 2022): 1–19. http://dx.doi.org/10.1155/2022/7291735.

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To further study the issue of false information classification on social platforms after major emergencies, this study regards opinion leaders and Internet users as a false-information classification system and constructs three differential game models of decentralized, centralized, and subsidized decision-making based on optimal control and differential game theory. Comparison analyses and numerical simulations of optimal equilibrium strategies and the optimal benefit between opinion leaders and Internet users, the optimal trajectory and the steady-state value of the total volume of real info
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32

Zong, Licheng, and Nana Wang. "A Product Modeling Design Decision Model Based on PGA Genetic Algorithm." Mathematical Problems in Engineering 2022 (August 29, 2022): 1–9. http://dx.doi.org/10.1155/2022/7794320.

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A Pareto-based genetic algorithm (PGA) product design decision model is proposed in this work to improve the efficiency of product design decisions and avoid the instability of individual decision differences. Based on the product modeling design decision constraint space, decision variables, and other factors, the model utilizes the PGA optimization algorithm to make an objective decision on a design scheme. Using the analytic hierarchy process, the design expectations, objectives, variables, and schemes are constructed into a hierarchical structure. The design decision problems are then mapp
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33

Krivulin, Nikolai. "Algebraic Solution to Constrained Bi-Criteria Decision Problem of Rating Alternatives through Pairwise Comparisons." Mathematics 9, no. 4 (2021): 303. http://dx.doi.org/10.3390/math9040303.

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We consider a decision-making problem to evaluate absolute ratings of alternatives from the results of their pairwise comparisons according to two criteria, subject to constraints on the ratings. We formulate the problem as a bi-objective optimization problem of constrained matrix approximation in the Chebyshev sense in logarithmic scale. The problem is to approximate the pairwise comparison matrices for each criterion simultaneously by a common consistent matrix of unit rank, which determines the vector of ratings. We represent and solve the optimization problem in the framework of tropical (
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34

Grigorieva, Xeniya. "Pareto optimality in static competitive model of decision-making." Applied Mathematical Sciences 9 (2015): 6217–23. http://dx.doi.org/10.12988/ams.2015.56463.

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Muhlbacher, Thomas, Lorenz Linhardt, Torsten Moller, and Harald Piringer. "TreePOD: Sensitivity-Aware Selection of Pareto-Optimal Decision Trees." IEEE Transactions on Visualization and Computer Graphics 24, no. 1 (2018): 174–83. http://dx.doi.org/10.1109/tvcg.2017.2745158.

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Grigorieva, X. V. "Pareto Optimality in a Static Competitive Decision-Making Model." Informatsionno-upravliaiushchie sistemy (Information and Control Systems) 5 (November 2015): 124–29. http://dx.doi.org/10.15217/issn1684-8853.2015.5.124.

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Kosmynina, N. A., A. I. Legalov, A. V. Barkov, and A. A. Lapin. "Pareto Optimality in a Static Competitive Decision-Making Model." Informatsionno-upravliaiushchie sistemy (Information and Control Systems) 5 (November 2015): 124–29. http://dx.doi.org/10.15217/issn1684-8853.2015.5.82.

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Ackermann, Heiner, Alantha Newman, Heiko Röglin, and Berthold Vöcking. "Decision-making based on approximate and smoothed Pareto curves." Theoretical Computer Science 378, no. 3 (2007): 253–70. http://dx.doi.org/10.1016/j.tcs.2007.02.034.

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39

Zhukovin, V. E., F. V. Burshtein, and E. V. Zhukovin. "Multicriterial decision making model with the empty pareto set." Annual Review in Automatic Programming 12 (January 1985): 182–84. http://dx.doi.org/10.1016/0066-4138(85)90023-0.

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40

Pangilinan, Jose Maria, and Gerrit K. Janssens. "Pareto-optimality of oblique decision trees from evolutionary algorithms." Journal of Global Optimization 51, no. 2 (2010): 301–11. http://dx.doi.org/10.1007/s10898-010-9614-9.

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41

El-Shorbagy, M. A., and A. A. Mousa. "Constrained Multiobjective Equilibrium Optimizer Algorithm for Solving Combined Economic Emission Dispatch Problem." Complexity 2021 (January 15, 2021): 1–14. http://dx.doi.org/10.1155/2021/6672131.

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This research implements a recent evolutionary-based algorithm of equilibrium optimizer to resolve the constrained combined economic emission dispatch problem. This problem has two objective functions that represent the minimizing of generation costs and minimizing the emission of environmental pollution caused by generators. The proposed algorithm integrates the dominant criteria for multiobjective functions that allow the decision-maker to detect all the Pareto boundaries of constrained combined economic emission dispatch problem. In order to save the effort for the decision-maker to select
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42

Bachorz, Rafał A., Michael S. Lawless, David W. Miller, and Jeremy O. Jones. "Multi-Criteria Decision Analysis in Drug Discovery." Applied Biosciences 4, no. 1 (2025): 2. https://doi.org/10.3390/applbiosci4010002.

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Drug discovery is inherently a multi-criteria optimization problem. In the first instance, it involves a tremendously large chemical space, where each compound can be characterized by multiple molecular and biological properties. Modern computational approaches try to efficiently explore the chemical space in search of molecules with the desired combination of properties. For example, Pareto optimizers identify a so-called “Pareto front”, a set of non-dominated solutions. From a qualitative perspective, all solutions on the front are potentially equally desirable, each expressing a trade-off b
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Decorte, Yanaika, Marijke Steeman, Nathan Van Den Bossche, and Klaas Calle. "Environmental evaluation of pareto optimal renovation strategies: a multidimensional life-cycle analysis." E3S Web of Conferences 172 (2020): 18003. http://dx.doi.org/10.1051/e3sconf/202017218003.

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The substantial contribution of buildings in the energy consumption and emissions renders the existing building stock a key element to tackle the climate crisis. Consequently, defining a deliberate decision-making process gains importance. Decisions are currently often based on building codes, budget, and in the best case Pareto optimality of the energy performance and the net present value of the life-cycle cost. The growing attention to sustainability, however, raises questions about the effect of environmental considerations on the outcome of the Pareto optimal solutions. This study quantif
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Panteleev, A. V., and A. U. Krychkov. "MODIFICATION OF FIREWORKS METHOD FOR MULTIOBJECTIVE OPTIMIZATION BASED ON NON-DOMINATED SORTING." Civil Aviation High TECHNOLOGIES 22, no. 3 (2019): 67–78. http://dx.doi.org/10.26467/2079-0619-2019-22-3-67-78.

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The article suggests a modification for numerical fireworks method of the single-objective optimization for solving the problem of multiobjective optimization. The method is metaheuristic. It does not guarantee finding the exact solution, but can give a good approximate result. Multiobjective optimization problem is considered with numerical criteria of equal importance. A possible solution to the problem is a vector of real numbers. Each component of the vector of a possible solution belongs to a certain segment. The optimal solution of the problem is considered a Pareto optimal solution. Bec
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45

Liu, Xi, and Dan Zhang. "An Improved SPEA2 Algorithm with Local Search for Multi-Objective Investment Decision-Making." Applied Sciences 9, no. 8 (2019): 1675. http://dx.doi.org/10.3390/app9081675.

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Enterprise investment decision-making should not only consider investment profits, but also investment risks, which is a complex nonlinear multi-objective optimization problem. However, traditional investment decisions often only consider profit as a goal, resulting in an incorrect decision. Facing the high complexity of investment decision-making space, traditional multi-objective optimization methods pay too much attention to global search ability because of pursuing convergence speed and avoiding falling into local optimum, while local search ability is insufficient, which makes it difficul
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46

Baril, Chantal, Soumaya Yacout, and Bernard Clément. "Collaborative Decision-Making in Product Design: An Interactive Multiobjective Approach." Journal of Industrial Engineering 2013 (January 3, 2013): 1–12. http://dx.doi.org/10.1155/2013/201907.

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This paper presents a new procedure to solve multiobjective problems, where the objectives are distributed to various working groups and the decision process is centralized. The approach is interactive and considers the preferences of the working groups. It is based on two techniques: an interactive technique that solves multi-objective problems based on goal programming, and a technique called “linear physical programming” which considers the preferences of the working groups. The approach generates Pareto-optimal solutions. It guides the director in the determination of target values for the
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47

Paprocka, Iwona, and Krzysztof Kalinowski. "Pareto Optimality of Production Schedules in the Stage of Populations Selection of the MOIA Immune Algorithm." Applied Mechanics and Materials 657 (October 2014): 869–73. http://dx.doi.org/10.4028/www.scientific.net/amm.657.869.

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In the paper, the problem of achieving Pareto optimal solutions set with application of the elaborated Multi Objectives Immune Algorithm is presented. The Pareto frontier provides a variety of compromise solutions for contradictive criteria to a decision maker. We propose the application of the selection based on the Pareto optimality to maintain solutions with great diversity in an immune memory. Stimulation and suppression mechanisms are used to control the diversity of generated solutions. Computer simulations are done for a job shop scheduling problem.
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48

Zhu, Hongwei, Lingen Chen, Yanlin Ge, Shuangshuang Shi, and Huijun Feng. "Multi-Objective Constructal Design for Quadrilateral Heat Generation Body with Vein-Shaped High Thermal Conductivity Channel." Entropy 24, no. 10 (2022): 1403. http://dx.doi.org/10.3390/e24101403.

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Based on the quadrilateral heat generation body (HGB) proposed by previous literature, the multi-objective constructal design is performed. Firstly, the constructal design is performed by minimizing the complex function composed of the maximum temperature difference (MTD) and entropy generation rate (EGR), and the influence of the weighting coefficient (a0) on the optimal constructal is studied. Secondly, the multi-objective optimization (MOO) with the MTD and EGR as optimization objectives is performed, and the Pareto frontier with an optimal set is obtained by using NSGA-II. The optimization
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Yano, Hitoshi. "Interactive Decision Making for Fuzzy Random Multiobjective Linear Programming Problems with Variance Covariance Matrices Through Fractile Optimization." Journal of Advanced Computational Intelligence and Intelligent Informatics 18, no. 3 (2014): 383–90. http://dx.doi.org/10.20965/jaciii.2014.p0383.

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In this paper, we focus on fuzzy random multiobjective linear programming problems with variance covariance matrices through fractile optimization, and propose an interactive decision making method to obtain a satisfactory solution. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only permissible probability levels but also the corresponding objective functions. Such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, such two kinds of membership functions are integrated, andDf-Pareto optimal solution c
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KRAMER, OLIVER, and HOLGER DANIELSIEK. "A CLUSTERING-BASED NICHING FRAMEWORK FOR THE APPROXIMATION OF EQUIVALENT PARETO-SUBSETS." International Journal of Computational Intelligence and Applications 10, no. 03 (2011): 295–311. http://dx.doi.org/10.1142/s1469026811003112.

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In many optimization problems in practice, multiple objectives have to be optimized at the same time. Some multi-objective problems are characterized by multiple connected Pareto-sets at different parts in decision space — also called equivalent Pareto-subsets. We assume that the practitioner wants to approximate all Pareto-subsets to be able to choose among various solutions with different characteristics. In this work, we propose a clustering-based niching framework for multi-objective population-based approaches that allows to approximate equivalent Pareto-subsets. Iteratively, the clusteri
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