可拓集与可变集的相容性辨析及耦合评价方法

Compatibility analysis and coupling evaluation method of extension set and variable set

唯物论认为,客观实在不以人的意识为转移,因此对于同一实际问题,不同的评价方法应具有相容性和互补性,其评价结果趋于基本一致.以可拓集和可变集为例,从问题背景、研究方法和哲学底蕴三个方面进行研究,探讨了二者在理论层面上的相容性;分析可拓关联函数和可变对立差异函数的数值特征及内在联系,进而构建了一种基于可拓物元理论和对立差异函数的耦合评价模型黑龙江省13个地市的水资源承载力的应用对比研究表明,本文建立的模型与可拓学方法的评价结果基本一致,且与实际相符,从而验证了可变集和可拓集在应用层面的相容性.该模型将对立差异函数引入可拓学评价方法,不仅可以判定水资源承载力所处的等级,同时还能反映其相对于相邻等级的强弱程度,为深入揭示所研系统的特性,丰富其表达形式提供了支持.

Materialism holds that objective reality does not shift by human consciousness.Therefore,for the same practical problem,different evaluation methods should be compatible and complementary,and their evaluation results tend to be basically consistent.Extension sets and variable sets are taken as examples to study the theoretical compatibility between the two from three aspects,i.e.problem context,research methods and philosophical implication.Then,on the basis of analyzing the numerical characteristics and relationship of extension correlation function and variable opposite difference function,a coupling evaluation model based on extension matter element theory and opposite difference function was constructed.A comparative study on the application of water resources carrying capacity in 13 cities in Heilongjiang Province shows that the evaluation results of the model established in this paper are basically consistent with those of the extenics method,and are consistent with the actual situation,thus verifying the compatibility of variable sets and extension sets at the application level.The model introduces the opposite difference function into the extension evaluation method,which can not only determine the level of water resources carrying capacity,but also reflect its strength relative to adjacent levels,which provides support for further revealing the characteristics of the studied system and enriching its expression forms.