Flexible Linguistic Values and Operations on Flexible Linguistic Values

Abstract

This chapter founds the fundamental theory of flexible linguistic values. First, this chapter introduces the types of flexible linguistic values, then analyzes and defines the operations on flexible linguistic values, and in particular proposes the concepts and methods of algebraic composition and decomposition of flexible linguistic values. Meanwhile, this chapter also analyzes the properties and relations of relatively negative linguistic values and then proposes the complementary partition of a measurement space and the complementary relation of flexible linguistic values. Besides, this chapter also considers other relations between flexible linguistic values, especially analyzes and defines the approximation relation between flexible linguistic values, and presents the corresponding measuring method.