Article
Automation & Control Systems
Qinqin Sun, Xiuye Wang, Guolai Yang, Ye-Hwa Chen, Fai Ma
Summary: This article addresses the cooperative game-oriented optimal constraint-following problem for fuzzy mechanical systems. It proposes an adaptive robust control scheme based on fuzzy set theory to deal with the (fast) time-varying uncertainty. The optimal design problem is successfully solved with the existence, uniqueness, and analytical expression of the Pareto optimality.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Automation & Control Systems
Rongrong Yu, Ye-Hwa Chen, Baokun Han
Summary: This study uses fuzzy set theory to describe uncertain dynamical systems and proposes a robust control method. By using cooperative game and performance indices, the optimal solution can be found while ensuring control performance.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Management
Ata Atay, Pedro Calleja, Sergio Soteras
Summary: This paper applies game theory to open shop scheduling problems, assigning the maximum cost savings to each coalition through admissible rearrangements of job operations. It provides a core allocation rule for games arising from unit open shop scheduling problems and includes two counterexamples to sharpen the bounds of balanced games.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2021)
Article
Automation & Control Systems
Chao Ma, Kang Huang, Qilin Wu, Hao Sun
Summary: This article investigates the constraint following control and cooperative game-based optimization of the spacecraft rendezvous system with parametric uncertainty and unknown external disturbances. A flexible robust constraint following control with a self-adjusting term is proposed to deal with uncertainties and initial condition deviations. Additionally, a cooperative game-based optimization scheme is proposed to improve the system performance with lower control cost.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Fangfang Dong, Dong Jin, Xiaomin Zhao, Jiang Han, Wei Lu
Summary: A robust control method with tunable parameters is proposed to address time-varying bounded uncertainty in mechanical systems, ensuring system stability. Fuzzy set theory is used to describe uncertainty, and parameters of the control are optimized based on non-cooperative game theory. The effectiveness of the optimized control method is demonstrated in trajectory tracking control for an omnidirectional mobile platform.
Article
Mathematics
Junnosuke Shino, Shinichi Ishihara, Shimpei Yamauchi
Summary: This paper explores the concept of solution mapping in interval games and defines the Shapley mapping as a specific form of solution mapping. It shows that the Shapley mapping can be characterized by two different axiomatizations using interval game versions of standard axioms in traditional cooperative game analysis.
Article
Computer Science, Information Systems
Jeongmeen Suh, Sung-Guk Yoon
Summary: By studying cooperative game theory, a profit-sharing rule suitable for incomplete networks is proposed, and after comparative experiments with Korean data, it is confirmed that this rule can fairly distribute profits based on the contributions of each MG.
Article
Management
Peter Csoka, Ferenc Illes, Tamas Solymosi
Summary: This study uses cooperative game theory and the Shapley value to address liability problems in which insolvent firms negotiate with creditors. The findings reveal that creditors benefit from increases in their claims and the asset value, while the impact on the firm depends on the configuration of liabilities. Additionally, creditors with larger claims benefit more from increases in the asset value.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2022)
Article
Mathematics
Conrado M. Manuel, Daniel Martin
Summary: This paper extends the classical Banzhaf index of power to voting games with players who have weights representing different cooperation or bargaining abilities. The obtained value does not satisfy the classical total power property, but is monotonic in the weights. Three different characterizations of the value are obtained, and it is related to the Owen multilinear extension.
Article
Computer Science, Information Systems
Ting Yin, Decai Zou, Xiaochun Lu, Cheng Bi
Summary: This paper proposes a cooperative localization method based on evolutionary coalitional game theory, which selects neighboring vehicles to form a coalition and exchanges information to achieve vehicle location estimation with low communication cost.
Article
Computer Science, Artificial Intelligence
Marzieh Mozafari, Ali Naimi-Sadigh, Amir Hossein Seddighi
Summary: This paper investigates the coordination of pricing and cooperative advertising policies in a two-echelon supply chain under the fuzziness of demand function parameters and manufacturing costs. Three decentralized scenarios are introduced based on the players' market power, and equilibrium prices, advertising expenditures, and participation rates are determined using possibilistic game theory concepts and compared with a centralized channel scenario. A numerical example demonstrates the effectiveness of the proposed modeling approach, and sensitivity analyses are conducted to measure the impact of demand function parameters and uncertainty levels.
Article
Energy & Fuels
Vijay Pal Singh, Aijaz Ahmad, Kushal Manoharrao Jagtap
Summary: This paper proposes a new method that assigns distribution system losses to consumers and distributed generations in a liberalized energy market. The method combines electrical network analytical theory and cooperative game theory. By using the weighted shapely value, the method estimates the average marginal contribution of each participant to the coalitions and determines the weight based on the participant's power rating. Unlike the conventional pro-rata method and the Shapley value solution concept, this node-oriented methodology presents a fair allocation of losses.
FRONTIERS IN ENERGY RESEARCH
(2023)
Article
Computer Science, Theory & Methods
Xiaohui Yu
Summary: This paper introduces a fuzzy game with a configuration structure, allowing fuzzy participation of players and intersection of fuzzy priori coalitions. It proposes a fuzzy configuration structure game based on linear expression of cooperative game. It explores appropriate solutions by proving that the fuzzy value of the game can be denoted by the value of cooperative game in different ways. In addition, a generalized extension of the fuzzy value is provided, expanding the application scope of cooperative game with a configuration structure to the fuzzy field. A general profit allocation rule is obtained for various types of cooperative games.
FUZZY SETS AND SYSTEMS
(2023)
Article
Computer Science, Information Systems
Kai-Rong Liang, Deng-Feng Li, Kevin W. Li, Jia-Cai Liu
Summary: This paper presents an interval biform game model that incorporates strategy choice, coalition formation, and profit allocation. It introduces interval coalition characteristic functions to solve the problem. The model includes players, their strategy choices, coalitions, and interval coalition characteristic values, and combines noncooperative and cooperative aspects. In the noncooperative part, payoffs of different strategies are obtained through solving interval cooperative games. The paper extends a real-valued division method to an interval-valued version to solve the interval cooperative game. It also establishes conditions for pure strategy Nash equilibriums and efficient Nash equilibrium in the interval biform game, and provides numerical examples to illustrate the proposed framework's validity and applicability.
INFORMATION SCIENCES
(2023)
Article
Automation & Control Systems
Chenming Li, Ye-Hwa Chen, Hao Sun, Han Zhao
Summary: This article proposes a high-order robust control method for fuzzy dynamical systems. The fuzzy set theory is used to describe the time varying but bounded uncertainty in the system. The control is deterministic and does not rely on IF-THEN fuzzy rules. By using the Lyapunov approach, it is proven that the control can guarantee uniform boundedness and uniform ultimate boundedness. The tunable parameters in the high-order control are treated as two players in a cooperative game, and two cost functions related to system performance and control cost are proposed. The optimal design problem is then solved by finding the Pareto-optimality parameters. Numerical simulations are conducted for verification.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Operations Research & Management Science
O. Palanci, S. Z. Alparslan Gok, M. O. Olgun, G. -W. Weber
Article
Operations Research & Management Science
Baris Bulent Kirlar, Serap Ergun, Sirma Zeynep Alparslan Gok, Gerhard-Wilhelm Weber
ANNALS OF OPERATIONS RESEARCH
(2018)
Article
Operations Research & Management Science
Sankar Kumar Roy, Gurupada Maity, Gerhard Wilhelm Weber, Sirma Zeynep Alparslan Gok
ANNALS OF OPERATIONS RESEARCH
(2017)
Article
Computer Science, Cybernetics
Mehmet Onur Olgun, Sirma Zeynep Alparslan Gok, Gultekin Ozdemir
Article
Mathematics, Applied
S. Z. Alparslan Gok, O. Palanci, M. O. Olgun
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2014)
Article
Operations Research & Management Science
O. Palanci, S. Z. Alparslan Gok, S. Ergun, G. -W. Weber
Article
Operations Research & Management Science
Serap Ergun, Pinar Usta, Sirma Zeynep Alparslan Gok, Gerhard Wilhelm Weber
Summary: Logistics planning is crucial in disaster relief operations, especially for natural disasters like earthquakes. This paper presents a game theoretical model for emergency logistic planning and provides several solution concepts.
ANNALS OF OPERATIONS RESEARCH
(2023)
Article
Computer Science, Cybernetics
Ismail Ozcan, Sirma Zeynep Alparslan Gok
Summary: This paper discusses cooperative games with characteristic functions as fuzzy intervals, extending a class of solutions with egalitarian characteristics that evenly distribute the residual value of the grand coalition under fuzzy uncertainty. The authors also explore a class of equal surplus sharing solutions.
Article
Mathematics, Interdisciplinary Applications
Ismail Ozcan, Sirma Zeynep Alparslan Gok
Summary: This paper extends cooperative games to include fuzzy elements, introducing the concept of cooperative fuzzy bubbly games and fuzzy bubbly core. Various results concerning the fuzzy bubbly core are discussed, highlighting the impact of uncertainty in cooperative game theory on real-world scenarios.
JOURNAL OF DYNAMICS AND GAMES
(2021)
Article
Mathematics, Interdisciplinary Applications
Osman Palanci, Mustafa Ekici, Sirma Zeynep Alparslan Gok
Summary: This paper focuses on equal surplus sharing interval solutions for cooperative games, where player sets are finite and coalition values are interval numbers. The properties of a class of solutions and an application based on transportation intervals are considered. Additionally, three solution concepts are proposed and compared for this application.
JOURNAL OF DYNAMICS AND GAMES
(2021)
Article
Engineering, Multidisciplinary
Serap Ergun, Baris Bulent Kirlar, Sirma Zeynep Alparslan Gok, Gerhard-Wilhelm Weber
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
(2020)
Article
Mathematics, Interdisciplinary Applications
Serap Ergun, Osman Palanci, Sirma Zeynep Alparslan Gok, Sule Nizamoglu, Gerhard Wilhelm Weber
JOURNAL OF DYNAMICS AND GAMES
(2020)
Article
Engineering, Multidisciplinary
Serap Ergun, Sirma Zeynep Alparslan Gok, Tuncay Aydogan, Gerhard Wilhelm Weber
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
(2019)
Proceedings Paper
Operations Research & Management Science
M. Ekici, O. Palanci, S. Z. Alparslan Gok
4TH INTERNATIONAL CONFERENCE ON OPERATIONAL RESEARCH (INTERIOR)
(2018)
Proceedings Paper
Green & Sustainable Science & Technology
Pinar Usta, Serap Ergun, Sirma Zeynep Alparslan Gok
PROCEEDINGS OF 3RD INTERNATIONAL SUSTAINABLE BUILDINGS SYMPOSIUM (ISBS 2017), VOL 1
(2018)
