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• Investigate a novel TrFBWM to yield the TrF criteria weights. • Develop the TrFZSG to rank the alternatives. • Propose a TrF-BWM-ZSG by fusinging the BWM and ZSG. This paper investigates a hybrid emergency decision-making (EDM) method called TrF-BWM-ZSG by combining the BWM (best-worst method) and ZSG (zero-sum game) in trapezoidal fuzzy (TrF) environment. Firstly, this paper defines the entropy and similarity for trapezoidal fuzzy numbers (TrFNs). Based on the entropy and similarity measures, a bi-objective programming model is constructed to distribute the weights for experts. Then, based on the multiplicative consistent trapezoidal fuzzy reference comparisons (TrFRCs), a novel TrFBWM is investigated to yield the TrF criteria weights. This novel TrFBWM highlights two innovations: (i) A crisp goal programming weight-determining model is constructed by using the multiplicative consistent TrFRCs; (ii) A reasonable consistency ratio is defined, in which the consistency index is determined according to the consistent transitivity of TrFRCs. Afterwards, the TrFZSG is developed to achieve the alternatives' ranking order by extending the classical ZSG into TrF environment. Lastly, the availability of the TrF-BWM-ZSG is corroborated through a real EDM case of Henan rainstorm disaster. The advantages of the TrF-BWM-ZSG are manifested by several valuable comparisons. Some desirable results derived by the TrF-BWM-ZSG are received: (i) The optimal alternative selected by the proposed TrF-BWM-ZSG suits the actual rescue situation; (ii) The proposed TrF-BWM-ZSG owns high generality since TrFN can reduce to crisp number, interval and triangular fuzzy number; (iii) The developed novel TrFBWM is helpful to preserve more inherent information of TrFNs. [ABSTRACT FROM AUTHOR]

Conflicts among various spatial planning policies have created a spatial game over land function and utilization due to the limitation of land resources. We quantitatively assess the evolutionary game process among three functional space types (agricultural production, urban–rural living, and blue–green ecological) using the concept of game theory during the period of 1980–2020 in Henan Province, China, as a case study. A research framework for assessing the spatial game process was established, and a measurement method based on spatial game type (SGT) and spatial game intensity (SGI) is proposed. The results demonstrate that the evolutionary game process among three functional space types exhibited significant spatiotemporal variation and spatial agglomeration. SGI increased from low to high values and then decreased again, and exhibited spatial autocorrelation. SGT supported classification into positive-sum and zero-sum games. The period of 1990–2000 had the largest SGI and the most counties with high-intensity zero-sum games. A highly urbanized urban center showed a high-intensity zero-sum game at the expense of agricultural production spaces. Balancing the areas devoted to various uses, enhancing spatial connectivity and improving functional mixing degree of land use may be effective ways to alleviate noncooperative games and spatial conflicts among these three functional space types. • A research framework and algorithm for the quantification of the evolutionary game process among three functional space types were proposed. • Spatial game intensity (SGI) and spatial game type (SGT) were introduced to reflect the dynamics of spatial game process. • Both SGI and SGT exhibited distinct spatiotemporal heterogeneity and spatial agglomeration. [ABSTRACT FROM AUTHOR]