A Parameterized Nonlinear Programming Approach to Solve Matrix Games With Payoffs of I-Fuzzy Numbers

Li, Dengfeng; Liu, Jia-Cai

doi:10.1109/tfuzz.2014.2333065

Cited by 66 publications

(25 citation statements)

References 17 publications

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“…The collective score of doctors ( ) = (0.55, 0.68, 0.53, 0.55, 0.47, 0.59, 0.50, 0.68, 0.48, 0.51) and can be determined by solving Step 6. Furthermore, the final total ranking = (2,8,6,4,1,3,10,7,9,5) is the ranking of the ten doctors. And we could get that the doctor has the best quality of service from the order.…”

Section: Illustrative Examplementioning

confidence: 99%

“…And we could get that the doctor has the best quality of service from the order. However, if we only consider the evaluation value without the balance of two dimensions, the final ranking is = (2,8,6,9,10,3,4,1,7,5).…”

Section: Illustrative Examplementioning

confidence: 99%

“…A decision analysis method based on prospect theory is proposed to consider the group reference point multiattribute decisionmaking problems. Li et al [4][5][6] put forward an improved TOPSIS based on prospect theory and method of decisionmaking for multicriteria decision-making problems whose criteria values are interval grey numbers and intuitionistic fuzzy numbers and the criteria weights are partially known with natural state probability for grey numbers. Gong (2010) researched the optimal sorting method of intuitionistic fuzzy group judgment matrix with incomplete information.…”

Section: Introductionmentioning

confidence: 99%

“…He (2015a, 2015b) researched the theoretical and practical problems of the consensus strategy based on the minimum cost and maximum return with interval preference opinions. Stochastic multiattribute decision theory is applied to uncertainty mathematical theories [4][5][6][7][8][9][10][11][12][13][17][18][19][20], Logic-Mathematical theory [11], rough set theory [14], game theory [17], consensus decision [18][19][20], matrix games [4], fuzzy information [5,6], and so on.…”

Section: Introductionmentioning

confidence: 99%

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Large Group Decision‐Making Approach Based on Stochastic MULTIMOORA: An Application of Doctor Evaluation in Healthcare Service

Gao

Liang

et al. 2018

Complexity

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Purpose. This paper presents a new method and model based on stochastic MULTIMOORA method and discuss its application to the doctor evaluation in healthcare service. Design/Methodology/Approach. In the previous studies, the number of decision group is often assumed to be small, and the different dimensions of the evaluation indexes were also less. In this paper, the authors study how to evaluate the healthcare service quality of doctors by the large group. Based on the stochastic MULTIMOORA theory, the authors use the method that builds the function of the net probability, the distance between the ideal solutions, and the utility of each doctor. Findings. This paper presents a novel model to determine the optimal doctor that considers both two dimensions in the index system and balances the evaluation results of the two dimensions. The authors designed the questionnaire and conducted field survey to make the proposed method closer to the actual situation in China. Then, they determined the optimal evaluation result for the healthcare service quality of doctors. Research Limitations/Implications. In the process of practical decision-making, there are differences in intellectual literacy level, regional background, and language preference between different decision-makers. it is impossible for the method we proposed to consider the differentiation index system of decision-makers’ preference comprehensively. And this will be a further research direction. Practical Implications. The authors proposed two evaluation index dimensions and tryed to balance the evaluation results of the two dimensions as much as possible. Meanwhile, the information aggregation method based on stochastic MULTIMOORA is distinguished. Social Implications. The proposed method can be applied to the evaluation of doctors in actual healthcare service. It is helpful to improve the healthcare service quality and the hospital management level, further improve the core competition of hospitals Originality/Value. This paper makes up for the lack of existing studies of the large group evaluation decision in the healthcare service. A new method on the evaluation of doctors by the large group is established and applied to a healthcare management decision-making problem with Chinese characteristics in reality.

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Section: Illustrative Examplementioning

confidence: 99%

Section: Illustrative Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Large Group Decision‐Making Approach Based on Stochastic MULTIMOORA: An Application of Doctor Evaluation in Healthcare Service

Gao

Liang

et al. 2018

Complexity

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“…Recently, there are some investigations on fuzzy matrix games( [4], [17], [18]), rough matrix games ( [29]), and stochastic differential games ( [22]). In the future we will extend the generalized solidarity value to the cooperative games under the above uncertain environments, such as cooperative games with coalitions' values represented by fuzzy sets, rough sets or stochastic variables.…”

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confidence: 99%

Extension of generalized solidarity values to interval-valued cooperative games

Li¹,

Ye²,

Wei³

2020

Journal of Industrial &Amp; Management Optimization

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The main purpose of this paper is to extend the concept of generalized solidarity values to interval-valued cooperative games and hereby develop a simplified and fast approach for solving a subclass of interval-valued cooperative games. In this paper, we find some weaker coalition monotonicity-like conditions so that the generalized solidarity values of the α-cooperative games associated with interval-valued cooperative games are always monotonic and non-decreasing functions of any parameter α ∈ [0, 1]. Thereby the intervalvalued generalized solidarity values can be directly and explicitly obtained by computing their lower and upper bounds through only using the lower and upper bounds of the interval-valued coalitions' values, respectively. The developed method does not use the interval subtraction and hereby can effectively avoid the issues resulted from it. Furthermore, we discuss the effect of the parameter ξ on the interval-valued generalized solidarity values of interval-valued cooperative games and some significant properties of interval-valued generalized solidarity values.2010 Mathematics Subject Classification. Primary: 91A12.

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Solution of Matrix Games With Pay‐Offs of Single‐Valued Neutrosophic Numbers and Its Application to Market Share Problem

Seikh

Dutta

2023

Mathematics and Computer Science Volume 1

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A Parameterized Nonlinear Programming Approach to Solve Matrix Games With Payoffs of I-Fuzzy Numbers

Cited by 66 publications

References 17 publications

Large Group Decision‐Making Approach Based on Stochastic MULTIMOORA: An Application of Doctor Evaluation in Healthcare Service

Large Group Decision‐Making Approach Based on Stochastic MULTIMOORA: An Application of Doctor Evaluation in Healthcare Service

Extension of generalized solidarity values to interval-valued cooperative games

Solution of Matrix Games With Pay‐Offs of Single‐Valued Neutrosophic Numbers and Its Application to Market Share Problem

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