A Blind Spot in the Reframing of a Universe of Possibles: Towards a Suitable Model for Decision-Making Theory and A.I.

Bayesian inference model is an optimal processing of incomplete information that, more than other models, better captures the way in which any decision-maker learns and updates his degree of rational beliefs about possible states of nature, in order to make a better judgment while taking new evidence into account. Such a scientific model proposed for the general theory of decision-making, like all others in general, whether in statistics, economics, operations research, A.I., data science or applied mathematics, regardless of whether they are time-dependent, have in common a theoretical basis that is axiomatized by relying on related concepts of a universe of possibles, especially the so-called universe (or the world), the state of nature (or the state of the world), when formulated explicitly. The issue of where to stand as an observer or a decision-maker to reframe such a universe of possibles together with a partition structure of knowledge (i.e. semantic formalisms), including a copy of itself as it was initially while generalizing it, is not addressed. Memory being the substratum, whether human or artificial, wherein everything stands, to date, even the theoretical possibility of such an operation of self-inclusion is prohibited by pure mathematics. We make this blind spot come to light through a counter-example (namely Archimedes’ Eureka experiment) and explore novel theoretical foundations, fitting better with a quantum form than with fuzzy modeling, to deal with more than a reference universe of possibles. This could open up a new path of investigation for the general theory of decision-making, as well as for Artificial Intelligence, often considered as the science of the imitation of human abilities, while being also the science of knowledge representation and the science of concept formation and reasoning.

Evolutionary Decision-Making and Planning for Autonomous Driving Based on Safe and Rational Exploration and Exploitation

Decision-making and motion planning are extremely important in autonomous driving to ensure safe driving in a real-world environment.This study proposes an online evolutionary decision-making and motion planning framework for autonomous driving based on a hybrid data-and model-driven method.First,a data-driven decision-making module based on deep reinforcement learning(DRL)is developed to pursue a rational driving performance as much as possible.Then,model predictive control(MPC)is employed to execute both longitudinal and lateral motion planning tasks.Multiple constraints are defined according to the vehicle’s physical limit to meet the driving task requirements.Finally,two principles of safety and rationality for the self-evolution of autonomous driving are proposed.A motion envelope is established and embedded into a rational exploration and exploitation scheme,which filters out unreasonable experiences by masking unsafe actions so as to collect high-quality training data for the DRL agent.Experiments with a high-fidelity vehicle model and MATLAB/Simulink co-simulation environment are conducted,and the results show that the proposed online-evolution framework is able to generate safer,more rational,and more efficient driving action in a real-world environment.

Application of PPC Model Based on RAGA in Real Estate Investment Decision-Making

According to the size of the projector function to evaluate the merits of the program, Projection Pursuit method is applied to real estate investment decision-making by using the real coding based on Accelerating Genetic Algorithm (RAGA) to optimize the Projection Pursuit Classification (PPC) process and a wide range of indicators value was projected linearly. The results are reasonable and verified with an example. At the same time, the subjective of the target weight can be avoided. It provides decision-makers with comprehensive information on all the indicators of new ideas and new

Temporal and spatial variation and prediction of water yield and water conservation in the Bosten Lake Basin based on the PLUS-InVEST model

To comprehensively evaluate the alterations in water ecosystem service functions within arid watersheds,this study focused on the Bosten Lake Basin,which is situated in the arid region of Northwest China.The research was based on land use/land cover(LULC),natural,socioeconomic,and accessibility data,utilizing the Patch-level Land Use Simulation(PLUS)and Integrated Valuation of Ecosystem Services and Tradeoffs(InVEST)models to dynamically assess LULC change and associated variations in water yield and water conservation.The analyses included the evaluation of contribution indices of various land use types and the investigation of driving factors that influence water yield and water conservation.The results showed that the change of LULC in the Bosten Lake Basin from 2000 to 2020 showed a trend of increasing in cultivated land and construction land,and decreasing in grassland,forest,and unused land.The unused land of all the three predicted scenarios of 2030(S1,a natural development scenario;S2,an ecological protection scenario;and S3,a cultivated land protection scenario)showed a decreasing trend.The scenarios S1 and S3 showed a trend of decreasing in grassland and increasing in cultivated land;while the scenario S2 showed a trend of decreasing in cultivated land and increasing in grassland.The water yield of the Bosten Lake Basin exhibited an initial decline followed by a slight increase from 2000 to 2020.The areas with higher water yield values were primarily located in the northern section of the basin,which is characterized by higher altitude.Water conservation demonstrated a pattern of initial decrease followed by stabilization,with the northeastern region demonstrating higher water conservation values.In the projected LULC scenarios of 2030,the estimated water yield under scenarios S1 and S3 was marginally greater than that under scenario S2;while the level of water conservation across all three scenarios remained rather consistent.The results showed that Hejing County is an important water conservation function zone,and the eastern part of the Xiaoyouledusi Basin is particularly important and should be protected.The findings of this study offer a scientific foundation for advancing sustainable development in arid watersheds and facilitating efficient water resource management.

How R&D investment promotes green technology innovation in the context of digitalization?-An empirical analysis based on provincial panel data

Green technology innovation is an important driving force and source to promote my country’s high-quality development,and it is the core path to achieve sustainable development.This paper uses my country’s provincial panel data from 2016 to 2019 to study the impact mechanism of R&D investment on green technology innovation,and introduces the level of digitization,using the panel threshold model to discuss its role in the impact mechanism of R&D investment on green technology innovation.The study found that when the level of digitalization in a region is low,increasing R&D investment does not necessarily improve the ability of green technology innovation;when the level of digitalization is relatively high,R&D investment has a positive role in promoting green technology innovation.Therefore,it is necessary to improve policies to encourage enterprises to increase investment in research and development;at the same time,it is necessary to promote the coordinated development of digital foundation,digital investment,digital literacy,digital economy and digital application,and promote the deep integration of digitalization and green technology innovation.

Consensus model of social network group decision-making based on trust relationship among experts and expert reliability

Due to people’s increasing dependence on social networks,it is essential to develop a consensus model considering not only their own factors but also the interaction between people.Both external trust relationship among experts and the internal reliability of experts are important factors in decision-making.This paper focuses on improving the scientificity and effectiveness of decision-making and presents a consensus model combining trust relationship among experts and expert reliability in social network group decision-making(SN-GDM).A concept named matching degree is proposed to measure expert reliability.Meanwhile,linguistic information is applied to manage the imprecise and vague information.Matching degree is expressed by a 2-tuple linguistic model,and experts’preferences are measured by a probabilistic linguistic term set(PLTS).Subsequently,a hybrid weight is explored to weigh experts’importance in a group.Then a consensus measure is introduced and a feedback mechanism is developed to produce some personalized recommendations with higher group consensus.Finally,a comparative example is provided to prove the scientificity and effectiveness of the proposed consensus model.

An Empirical Study on the Coupling and Coordination of Health Investment, Resident Health and Economic Growth in Sichuan Province —Based on a Modified Coupling Model

We should calculate the coupling degree of medical investment, resident health and economic growth in Sichuan Province, and make clear the coordinated development of the aforementioned three factors. In that, the government was able to formulate policies that feature the positive interaction and coordinated development of regional medical investment, health and economy. Methods on index system for the evaluation of health investment, resident health and economic growth were constructed, and the coupling and coordination degree of the three systems were empirically studied based on the entropy weight method, the coupling coordination model and the gray correlation method. From the perspective of time series, the overall coupling and coordination level of Sichuan Province is relatively low, and the comprehensive development level of health investment and economic growth system has lagged behind the resident health system;from the perspective of spatial distribution characteristics, in 2019, the coordinated development level of health investment resident health and economic growth coupling in western Sichuan, southern Sichuan, northern Sichuan, eastern Sichuan and northern Sichuan is in the primary coordination stage, but there is a lag in the development of the health investment system between western Sichuan and southern Sichuan, and there is a lag in the development of the economic growth system between northern Sichuan and eastern Sichuan. From the analysis of gray correlation degree, the main correlation factors are diverse. All in all, the overall coordination level of health investment, resident health and economic growth in Sichuan Province is relatively low, and in order to achieve its coordinated development, it is necessary to narrow regional differences, formulate coordinated development strategies according to local conditions, and improve the overall coordination level.

Optimal Quota-Share and Excess-of-Loss Reinsurance and Investment with Heston’s Stochastic Volatility Model

An optimal quota-share and excess-of-loss reinsurance and investment problem is studied for an insurer who is allowed to invest in a risk-free asset and a risky asset.Especially the price process of the risky asset is governed by Heston's stochastic volatility(SV)model.With the objective of maximizing the expected index utility of the terminal wealth of the insurance company,by using the classical tools of stochastic optimal control,the explicit expressions for optimal strategies and optimal value functions are derived.An interesting conclusion is found that it is better to buy one reinsurance than two under the assumption of this paper.Moreover,some numerical simulations and sensitivity analysis are provided.

Default rules in investment decision-making:trait anxiety and decision-making styles

This study investigates the role of default options in the relationship between trait anxiety,and decision-making styles and financial decisions.One hundred and ninety-four participants were divided into three groups and subjected to three different conditions.Under each experimental condition,they had to decide whether to accept or reject investment proposals.In the first group,they had been enrolled in investment plans by default(opt-out condition),in the second group,they had not been automatically enrolled in these plans(opt-in condition),and in the third group they had to choose whether to enroll or not(control condition).The results showed that the investment decisions of anxious,avoidant,rational and dependent individuals could be facilitated by default options.In conclusion,using default options as a“nudge”can support specific groups of people to improve their financial decisions.

基于InVEST模型的宁夏地区生境质量时空演变特征

选取宁夏地区2000,2010和2020年3期土地利用变化数据,运用InVEST模型及ArcGIS软件,分析其土地利用类型和生境质量的时空演变特征与影响因素.结果表明,20年间宁夏土地利用类型变化趋势为:耕地、草地、裸地呈缩减态势,林地、水体、城镇用地呈增长态势;宁夏的土地利用类型变化是多种因素共同作用的结果;宁夏全域的生境质量水平在20年间维持在中等水平.生境质量水平高的区域集中分布在林地、草地及水体区域,生境质量水平低的区域集中分布在各市主城区.城镇化快速、人口密集、道路硬质化高、绿化率低和交通可达性高以及相关政策措施均对宁夏生境质量产生不同程度的影响,呈现出退化的演变趋势;宁夏土地利用类型同生境质量的演变具有明显的相关性.

基于PLUS-InVEST模型的陕南地区土地利用变化多情景模拟与碳储量评估

在PLUS模型中纳入POI驱动因子并利用LASSO回归进行驱动体系筛选与精度验证,设定自然发展、经济保护与生态保护3种情景,利用筛选后的驱动因子模拟2030年各情景下陕南地区的土地利用格局,利用InVEST模型分析2000—2020年陕南地区碳储量的时空分异特征,探讨不同发展情景下土地利用变化对陕南地区碳储量的影响。结果表明:(1)2000—2020年,陕南地区的建设用地面积由23648.49 hm^(2)增长到78000.21 hm^(2),侵占了耕地、林地和草地的生存空间,使其分别减少了39415.05 hm^(2),8787.51 hm^(2)与17476.56 hm^(2),2030年3种发展情景下的建设用地均保持扩张的趋势。(2)在PLUS模型中加入POI驱动因子且利用LASSO算法筛选驱动因子有效提升了模型的精度与运行效率,模型的Kappa系数和OA系数分别提高了2.53%和0.20%,更精准地模拟了建设用地的分布情况。(3)2000—2020年陕南地区碳储量总量呈下降趋势,由2.1887×10^(9)t下降至2.1775×10^(9)t。2030年经济保护情景与自然发展情景的碳储量总量均小于2020年,生态保护情景下的碳储量总量最高,达到了2.1830×10^(9)t。(4)生态保护情景更有利于陕南地区的可持续发展策略,以陕南地区平均碳密度分区分布为基础,可为陕南地区分区发展与区域碳收支平衡提供参考,对未来不同情景下土地利用对区域碳储量的影响和双碳背景下的国土空间规划具有借鉴意义。

基于PLUS和InVEST模型的合肥市生态系统碳储量时空演变特征

[目的]为寻求“双碳”目标导向下的合肥市城市发展新方案。[方法]依据合肥市2000-2020年5期土地利用数据,在合肥市国土空间规划指引下,运用PLUS模型模拟得到2035年合肥市土地利用时空演变规律,耦合InVEST模型探究多情景下合肥市碳储量时空变化特征,并进一步挖掘土地综合利用程度对碳储量的影响。[结果](1)2000-2020年合肥市土地利用变化特征主要表现为耕地、林地减少,其中耕地为建设用地扩增主要来源。自然发展和农田资源保护情景的土地变化规律大致相同,主要表现为耕地、林地、水体减少;绿色汇增城市发展情景下,林地相比其余2个情景面积由减少转为增加。(2)2000-2020年合肥市碳储量逐年递减,其中2005-2010年碳损失最为剧烈。到2035年,自然发展情景、农田资源保护情景、绿色汇增城市发展情景碳储量分别为138.96×10^(6),140.13×10^(6),139.81×10^(6) t。农田资源保护情景下,碳储量明显增加区域最低,建设用地扩张减缓;绿色汇增城市发展情景下,林地由碳损失转为碳固持,是最具固碳潜力的发展趋势。(3)绿色汇增城市发展情景土地利用率最高,可有效降低土地综合利用程度对碳储量流失的威胁。[结论]农田资源保护情景与绿色汇增城市发展情景均有助于城市固碳发展,实施生态保护与城市发展并行政策,调整土地综合利用模式有助于改善城市碳流失。

Evaluation of the water conservation function in the Ili River Delta of Central Asia based on the InVEST model

The Ili River Delta(IRD)is an ecological security barrier for the Lake Balkhash and an important water conservation area in Central Asia.In this study,we selected the IRD as a typical research area,and simulated the water yield and water conservation from 1975 to 2020 using the water yield module of the Integrated Valuation of Ecosystem Services and Tradeoffs(InVEST)model.We further analyzed the temporal and spatial variations in the water yield and water conservation in the IRD from 1975 to 2020,and investigated the main driving factors(precipitation,potential evapotranspiration,land use/land cover change,and inflow from the Ili River)of the water conservation variation based on the linear regression,piecewise linear regression,and Pearson's correlation coefficient analyses.The results indicated that from 1975 to 2020,the water yield and water conservation in the IRD showed a decreasing trend,and the spatial distribution pattern was"high in the east and low in the west";overall,the water conservation of all land use types decreased slightly.The water conservation volume of grassland was the most reduced,although the area of grassland increased owing to the increased inflow from the Ili River.At the same time,the increased inflow has led to the expansion of wetland areas,the improvement of vegetation growth,and the increase of regional evapotranspiration,thus resulting in an overall reduction in the water conservation.The water conservation depth and precipitation had similar spatial distribution patterns;the change in climate factors was the main reason for the decline in the water conservation function in the delta.The reservoir in the upper reaches of the IRD regulated runoff into the Lake Balkhash,promoted vegetation restoration,and had a positive effect on the water conservation;however,this positive effect cannot offset the negative effect of enhanced evapotranspiration.These results provide a reference for the rational allocation of water resources and ecosystem protection in the IRD.

基于InVEST模型的京津冀土地利用变化及碳储量时空分异研究

大气中二氧化碳含量的增加是国际社会广泛关注的环境问题,人类活动改变土地利用格局,而土地利用/覆被(land-use/land-cover,LULC)变化影响陆地生态系统结构、功能及碳循环。本文在全球地表覆盖数据GlobeLand30的支持下分析了2000-2020年京津冀土地利用变化,利用InVEST模型模拟了碳储量时空变化,并结合空间自相关分析技术对其进行了分区研究。结果表明:①2000-2020年京津冀地区耕地和人造地表变化面积最大,分别为减少340222.124 hm^(2)和增加246333.493 hm^(2);②京津冀地区2000、2010和2020年碳储量总值分别为1666.47×10^(6)、1654.63×10^(6)、1632.88×10^(6)t,耕地流失和人造地表扩张是碳储量下降的主要原因;③京津冀碳储量高值主要分布在海拔相对较高的山林地区,低值主要分布在北京市中心、津冀海岸带,以及河北省沧州和唐山的东部南部区域;④局部自相关结果表明,碳储量出现高-高聚集的区域在研究区的北部和西部,在出现低-低聚集的区域中天津市东丽区和河北省邯郸市邯山区呈现出较为明显的弱化趋势。

Optimal investment for the defined-contribution pension with stochastic salary under a CEV model

In this paper, we study the optimal investment strategy of defined-contribution pension with the stochastic salary. The investor is allowed to invest in a risk-free asset and a risky asset whose price process follows a constant elasticity of variance model. The stochastic salary follows a stochastic differential equation, whose instantaneous volatility changes with the risky asset price all the time. The HJB equation associated with the optimal investment problem is established, and the explicit solution of the corresponding optimization problem for the CARA utility function is obtained by applying power transform and variable change technique. Finally, we present a numerical analysis.

A Decision-Making Framework Model of Cutting Fluid Selection for Green Manufacturing and the Case Study

Pursuing the green manufacturing (GM) of products i s very beneficial in the alleviation of environment burdens. In order to reap such benefits, green manufacturing is involved in every aspect of manufacturing proc esses. During the machining process, cutting fluid is one of the main roots of e nvironmental pollution. And how to make an optimal selection for cutting fluid f or GM is an important path to reduce the environmental pollution. The objective factors of decision-making problems in the traditional selection of cutting flu id are usually two: quality and cost. But from the viewpoint of GM, environmenta l impact (E) should be considered together. In this paper, a multi-object d ecision-making model of cutting fluid selection for GM is put forward, in which the objects of Quality (Q), Cost(C) and Environmental impact (E) are considered together. In this model, E means to minimize the environmental impact, Q means to maximize the quality and C means to minimize the cost. Each objective is anal yzed in detail too. A case study on a decision-making problem of cutting fluid selection in a gear hobbing process is analyzed, and the result shows the model is practical.

RUIN PROBABILITY IN THE CONTINUOUS-TIME COMPOUND BINOMIAL MODEL WITH INVESTMENT

This article deals with the problem of minimizing ruin probability under optimal control for the continuous-time compound binomial model with investment. The jump mechanism in our article is different from that of Liu et al [4]. Comparing with [4], the introduction of the investment, and hence, the additional Brownian motion term, makes the problem technically challenging. To overcome this technical difficulty, the theory of change of measure is used and an exponential martingale is obtained by virtue of the extended generator. The ruin probability is minimized through maximizing adjustment coefficient in the sense of Lundberg bounds. At the same time, the optimal investment strategy is obtained.

Ranking environmental projects model based on multicriteria decision-making and the weight sensitivity analysis

With the fast growth of Chinese economic, more and more capital will be invested in environmental projects. How to select the environmental investment projects （alternatives） for obtaining the best environmental quality and economic benefits is an important problem for the decision makers. The purpose of this paper is to develop a decision-making model to rank a finite number of alternatives with several and sometimes conflicting criteria. A model for ranking the projects of municipal sewage treatment plants is proposed by using exports＇ information and the data of the real projects. And, the ranking result is given based on the PROMETHEE method. Furthermore, by means of the concept of the weight stability intervals （WSI）, the sensitivity of the ranking results to the size of criteria values and the change of weights value of criteria are discussed. The result shows that some criteria, such as “proportion of benefit to project cost”, will influence the ranking result of alternatives very strong while others not. The influence are not only from the value of criterion but also from the changing the weight of criterion. So, some criteria such as “proportion of benefit to project cost” are key critera for ranking the projects. Decision makers must be cautious to them.

基于InVEST-PLUS模型的陕西省水源涵养量估算及预测

[目的]为估算陕西省水源涵养量。[方法]通过耦合InVEST模型和PLUS模型,计算陕西省2000—2020年水源涵养量,并预测未来2030年土地利用变化下的水源涵养量。[结果]陕西省2000—2020年平均水源涵养量为132.25 mm,空间分布特征为水源涵养量由北向南逐渐增强。从植被类型来看,林地是陕西省水源涵养量的主体,年平均水源涵养量为199.55×10^(8)m^(3);从行政区来看,安康市水源涵养量最大(308.96 mm)。2030年陕西省水源涵养总量为285.16×10^(8)m^(3),相比2020年降低8.68×10^(8)m^(3)。[结论]陕西省未来2020—2030年水源涵养量呈略微下降趋势。

THE OPTIMAL REINSURANCE-INVESTMENT PROBLEM CONSIDERING THE JOINT INTERESTS OF AN INSURER AND A REINSURER UNDER HARA UTILITY

This paper focuses on an optimal reinsurance and investment problem for an insurance corporation which holds the shares of an insurer and a reinsurer.Assume that the insurer can purchase reinsurance from the reinsurer,and that both the insurer and the reinsurer are allowed to invest in a risk-free asset and a risky asset which are governed by the Heston model and are distinct from one another.We aim to find the optimal reinsuranceinvestment strategy by maximizing the expected Hyperbolic Absolute Risk Aversion(HARA)utility of the insurance corporation’s terminal wealth,which is the weighted sum of the insurer’s and the reinsurer’s terminal wealth.The Hamilton-Jacobi-Bellman(HJB)equation is first established.However,this equation is non-linear and is difficult to solve directly by any ordinary method found in the existing literature,because the structure of this HJB equation is more complex under HARA utility.In the present paper,the Legendre transform is applied to change this HJB equation into a linear dual one such that the explicit expressions of optimal investment-reinsurance strategies for-1≤ρi≤1 are obtained.We also discuss some special cases in a little bit more detail.Finally,numerical analyses are provided.