CEJOR https://doi.org/10.1007/s10100-018-0555-6 ORIGINAL PAPER Interval-valued n-person cooperative games with satisfactory degree constraints 1 1 1 Jian Li · Jian-qiang Wang · Jun-hua Hu © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract The aim of this study is to develop several nonlinear programming mod- els for interval-valued cooperative games in which taking into account the decision makers’ risk attitudes. First, we investigate several existing used satisfactory degree comparison methods for ranking interval-valued fuzzy numbers, and point out by an example that the method proposed by Liu et al. (Soft Comput 22:2557–2565, 2018)is more efﬁcient than the method proposed by Hong and Li (Oper Res 17:1–19, 2016). Second, by taking into account decision makers’ risk attitudes, several corresponding nonlinear programming models are constructed based on satisfactory degree formulas that were proposed by Liu et al. (2018). Third, an illustrative example in conjunction with comparative analyses are employed to demonstrate the validity and applicabil- ity of the proposed models. Finally, to further highlight the validity of the proposed method, we discuss the relationship of the satisfactory degree formulas between Hong and Li (2016)’s method and Xu and Da (J Syst Eng 18:67–70, 2003)’s method. Keywords Interval-valued cooperative games · Satisfactory
Central European Journal of Operations Research – Springer Journals
Published: Jun 5, 2018
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