Intuitionistic Fuzzy Calculus

1. Auflage 2017
ISBN: 978-3-319-54147-1
Verlag: Springer

Buch, Englisch, Band 353, 168 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 3967 g

Reihe: Studies in Fuzziness and Soft Computing

This book offers a comprehensive and systematic review of the latest research findings in the area of intuitionistic fuzzy calculus. After introducing the intuitionistic fuzzy numbers’ operational laws and their geometrical and algebraic properties, the book defines the concept of intuitionistic fuzzy functions and presents the research on the derivative, differential, indefinite integral and definite integral of intuitionistic fuzzy functions. It also discusses some of the methods that have been successfully used to deal with continuous intuitionistic fuzzy information or data, which are different from the previous aggregation operators focusing on discrete information or data. Mainly intended for engineers and researchers in the fields of fuzzy mathematics, operations research, information science and management science, this book is also a valuable textbook for postgraduate and advanced undergraduate students alike.

Zielgruppe

Research

Autoren/Hrsg.

Lei, Qian

Xu, Zeshui

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Wirtschaftswissenschaften Betriebswirtschaft Unternehmensforschung
• Mathematik | Informatik Mathematik Stochastik
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Fuzzy-Systeme
• Mathematik | Informatik Mathematik Operations Research

Inhaltsverzeichnis

1 Basic Concepts Related to Intuitionistic Fuzzy Numbers.- 2 Derivatives and Differentials of Intuitionistic Fuzzy Functions.- 3 Integrals of Intuitionistic Fuzzy Functions.- 4 Aggregation Operations of Continuous Intuitionistic Fuzzy Information.- 5 Relationships among IFWA Operator, IFIA Operator and Definite Integrals of IFFs.- 6 Complement Theory of Intuitionistic Fuzzy Calculus.- References.