In this chapter, we analyze firstly the mathematical backgrounds and relational representations of a set correspondenceSet correspondence and a flexible-set correspondenceFlexible-set correspondence, thus revealing the mathematical essence, mathematical background, and relational representation of a flexible-linguistic-valued correspondence; Then we propose and discuss flexible linguistic functionsFlexible linguistic function and flexible linguistic correlationsFlexible linguistic correlation, present their types and representation, analyze their characteristics, properties, and evaluations, and in particular, discover and propose a quantitative description and numerical modelNumerical model of flexible linguistic functionsFlexible linguistic function and flexible linguistic correlationsFlexible linguistic correlation.

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Correspondence Between Flexible Sets, and Flexible Linguistic Functions

  • Shiyou Lian

摘要

In this chapter, we analyze firstly the mathematical backgrounds and relational representations of a set correspondenceSet correspondence and a flexible-set correspondenceFlexible-set correspondence, thus revealing the mathematical essence, mathematical background, and relational representation of a flexible-linguistic-valued correspondence; Then we propose and discuss flexible linguistic functionsFlexible linguistic function and flexible linguistic correlationsFlexible linguistic correlation, present their types and representation, analyze their characteristics, properties, and evaluations, and in particular, discover and propose a quantitative description and numerical modelNumerical model of flexible linguistic functionsFlexible linguistic function and flexible linguistic correlationsFlexible linguistic correlation.