Intuitionistic Fuzzy Calculus

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.

List of contents

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.    

Summary

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.

Product details

• Authors: Qia Lei, Qian Lei, Zeshui Xu
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2017
• EAN: 9783319541471
• ISBN: 978-3-31-954147-1
• No. of pages: 168
• Dimensions: 162 mm x 17 mm x 244 mm
• Weight: 424 g
• Illustrations: XI, 168 p. 74 illus., 21 illus. in color.
• Series: Studies in Fuzziness and Soft Computing; Studies in Fuzziness and Soft Computing
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; Social sciences, law, business > Business; Operations Research, B, Wahrscheinlichkeitsrechnung und Statistik, engineering, Operations Research/Decision Theory, Operations Research and Decision Theory, Management & management techniques, Operations Research, Management Science, Management decision making, Management science, Mathematical & statistical software, Operational research, Decision Making, Computational Intelligence, Maths for computer scientists, Mathematical statistics, Probability and Statistics in Computer Science