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This chapter is the continuation of the basic theory of flexible linguistic valuesFlexible linguistic value. First, the concepts of degree linguistic valuesDegree linguistic value and superposed linguistic valuesSuperposed linguistic value are proposed, and the types, levels, and mathematical models of superposed linguistic valuesSuperposed linguistic value are discussed. Next, the quantification of flexible linguistic valuesFlexible linguistic value is considered, and the flexible linguistic value with degreeFlexible linguistic value with degree and its notation is presented. And then, the relations between pure linguistic values, flexible linguistic valuesFlexible linguistic value with degrees and numerical values are expounded, and the corresponding conversion principles and methods are presented. Lastly, one-dimensional flexible linguistic valuesFlexible linguistic value are extended to vector flexible linguistic valuesVector flexible linguistic value and flexible linguistic-valued vectorsFlexible linguistic-valued vector.

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Superposition, Quantification, Conversion, and Extension of Flexible Linguistic Values

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  • 发表日期：

    2025年

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  • Shiyou Lian

摘要

This chapter is the continuation of the basic theory of flexible linguistic valuesFlexible linguistic value. First, the concepts of degree linguistic valuesDegree linguistic value and superposed linguistic valuesSuperposed linguistic value are proposed, and the types, levels, and mathematical models of superposed linguistic valuesSuperposed linguistic value are discussed. Next, the quantification of flexible linguistic valuesFlexible linguistic value is considered, and the flexible linguistic value with degreeFlexible linguistic value with degree and its notation is presented. And then, the relations between pure linguistic values, flexible linguistic valuesFlexible linguistic value with degrees and numerical values are expounded, and the corresponding conversion principles and methods are presented. Lastly, one-dimensional flexible linguistic valuesFlexible linguistic value are extended to vector flexible linguistic valuesVector flexible linguistic value and flexible linguistic-valued vectorsFlexible linguistic-valued vector.