摘要
水资源集对系统中同一项和对立项构成的对立关系是水资源集对分析辩证思维的集中体现,是构建集对系统联系数的基石.通过五种常见对立关系类型的概念解析与其应用之间对应关系的分析,以及面向五类对立关系的水资源集对系统差异项不确定性分析,在对立关系复杂、深刻的涵义方面取得了一些新的认识:在水资源集对系统中常见的反比型、互斥型、正负型、互补型和虚实型对立关系可分别由模糊、随机、涨落、分配和存在型不确定性对应产生并进行分析计算;在集对系统中最基本的对立关系是反比型、互斥型对立关系,对应的模糊性、随机性是事件发生的内容性质、事件发生的结果数量方面的不确定性;差异项不确定性的变化是导致联系数中同异反三类关系变化的原因,是"一分为三"辩证思维的一种典型展开,反映了量变到质变的转化规律;在差异项表征的五类不确定性中最常见的是模糊不确定性,模糊不确定性变量的运算可通过随机模拟技术转化为随机不确定性变量的运算.模糊和随机的不确定性分析分别注重物理内涵解析和数学定量计算,这反映了水资源集对分析学科属于计算思维领域,对进一步推动模糊水文学、随机水文学、水资源集对分析、结构水资源学等学科发展无疑具有明显的启发作用和指导意义.
Abstract
The opposition relationship between the identity and opposition items in water resource set pair system is the concentrated reflection of the dialectical thinking of water resource set pair analysis.It is also the cornerstone of building connection number of set pair system.Through the analysis of the corresponding relationship between the common five types of opposition relationship concept analysis and their applications,and the uncertainty analysis of water resources set pair for the five types of opposite relationship to the system difference items,we have gained some understanding of the complex and profound meaning of the opposite relationship as follows.The common oppo-sites of inverse ratio,mutual exclusion,positive and negative type,complementary type and virtual and real type in the water resources set pair system can be generated,analyzed and calculated by fuzzy,random,fluctuation,distribution and existence uncertainty variables respectively.In the set pair system,the most basic opposition rela-tionships are the inverse and mutually exclusive opposition,and the corresponding fuzziness and randomness refer to the uncertainty in terms of the content,nature,and number of results of the event occurrence.The change of the uncertainty of the difference item is the cause of the change for the three kinds of relations between the same,different and opposite in the connection number,and also is a typical expansion of the dialectical thinking of"one divided into three",reflecting the transformation law from quantitative change to qualitative change.Fuzzy uncer-tainty is the most common of the five types of uncertainty characterized by difference terms,and the operation of fuzzy uncertainty variable can be converted into the operation of random uncertainty variable through random simula-tion technology.The analysis of fuzzy and random uncertainty focuses on the analysis of physical connotation and mathematical quantitative calculation respectively,which reflects that the discipline of water resource set pair anal-ysis belongs to the field of computational thinking,and it has obvious enlightening and guiding significance for fur-ther promoting the development of fuzzy hydrology,stochastic hydrology,water resources set pair analysis,and structural water resources science.
基金项目
国家自然科学基金项目(U2240223)
国家自然科学基金项目(52109009)
安徽省自然科学基金项目(2208085US03)
安徽省自然科学基金项目(2108085QE254)
安徽省高校自然科学研究重点项目(2023AH052942)
国家科技期刊平台
NSTL
万方数据