Zheng Pei, Da Ruan, Jun Liu, Yang Xu. Linguistic Values Based Intelligent Information Processing: Theory, Methods, and Applications

Atlantis Press, World Scientific, 2009. — 276 p.This book provides a systematic introduction course of alternative methods developed to model and compute with linguistic information in natural languages to modify and overcome limitations of Computing with Words concept in the sense of Zadeh, e.g., difficulty in determining and interpreting fuzzy set membership functions of linguistic values, computational complexity and loss of information due to linguistic approximations.
It serves a major reference for scientists and engineers interested in applying new fuzzy logic approach tools to achieve intelligent solution in complex systems. It can be also used in special courses of fuzzy logic and artificial intelligence, for researchers and graduate students, in advance courses on applications of AI and decision support systems.
The book thus addresses a rather broad public: logicians, linguists, philosophers as well as theoretical computer scientists and mathematicians, engineers with interests in linguistic information processing and their applications.
The book has six chapters:
Chapter 1 provides the academic background of the development of linguistic valued based intelligent information process, overviews and classifies theories and methods in this direction, also reviews basic algebraic concepts necessary for characterization of the linguistic values and for understanding the subsequent chapters, finally outlines the potential applications.
Chapter 2 starts with a discussion of general linguistic decision analysis framework, followed with one representative linguistic valued approach, called the fuzzy ordinal linguistic approach, a variety of different candidates within this framework especially in terms of aggregation operators will be reviewed.
Chapter 3 introduces hedge algebras of linguistic values, in which linguistic representation and manipulation are mainly investigated from the algebraic point of view.
Chapter 4 introduces linguistic-valued information processing mainly based on a logical algebra structure - lattice implication algebras (LIA).
Chapter 5 introduces fuzzy number indexes of linguistic values.
Chapter 6 introduces the hierarchical structure analysis of linguistic values.