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

Abstract

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