In this chapter we discuss soft concept analysis, a study which identifies an enriched notion of "conceptual scale" as developed in formal concept analysis with an enriched notion of "linguistic variable" as discussed in fuzzy logic. The identification "enriched conceptual scale" = "enriched linguistic variable" was made in a previous paper (Enriched interpretation, Robert E. Kent). In this chapter we offer further arguments for the importance of this identification by discussing the philosophy, spirit, and practical application of conceptual scaling to the discovery, conceptual analysis, interpretation, and categorization of networked information resources. We argue that a linguistic variable, which has been defined at just the right generalization of valuated categories, provides a natural definition for the process of soft conceptual scaling. This enrichment using valuated categories models the relation of indiscernability, a notion of central importance in rough set theory. At a more fundamental level for soft concept analysis, it also models the derivation of formal concepts, a process of central importance in formal concept analysis. Soft concept analysis is synonymous with enriched concept analysis. From one viewpoint, the study of soft concept analysis that is initiated here extends formal concept analysis to soft computational structures. From another viewpoint, soft concept analysis provides a natural foundation for soft computation by unifying and explaining notions from soft computation in terms of suitably generalized notions from formal concept analysis, rough set theory and fuzzy set theory.
翻译:在本章中,我们讨论了软概念分析,这是一份在正式概念分析中形成的“概念规模”的丰富概念,在正式概念分析中提出了“语言变量”的丰富概念,在模糊逻辑中也讨论了“语言变量”的丰富概念。在前一份文件中提出了“丰富概念规模”=“丰富语言变量”的识别,在粗略理论中,这是一个核心重要性的概念分析概念分析概念。在较基本层面上,我们通过讨论概念分析的理论、精神和实际应用,为这种识别的重要性提出了进一步的论点。软概念分析与更丰富的概念分析是同义的。从一种观点来看,从软概念分析的软概念分析,从软概念分析的软概念分析,从软概念分析到软理论分析,从软理论分析,从软理论分析,从软理论分析到软理论分析,从软理论分析,从软理论分析到软理论分析,从软理论分析,从软理论分析,从软理论分析,从软理论分析,从软理论分析,从软理论分析,到正确分析,从软理论分析,从一个正式分析,从软理论分析,从软理论分析,从这个概念分析,从这里,从软理论分析,从软理论分析,从一个正式分析,从一个概念分析,到又推。