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Intuitionistic Fuzzy Calculus

✍ Scribed by Qian Lei, Zeshui Xu (auth.)


Publisher
Springer International Publishing
Year
2017
Tongue
English
Leaves
176
Series
Studies in Fuzziness and Soft Computing 353
Edition
1
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Front Matter....Pages i-xi
Basic Concepts Related to Intuitionistic Fuzzy Numbers....Pages 1-20
Derivatives and Differentials of Intuitionistic Fuzzy Functions....Pages 21-39
Integrals of Intuitionistic Fuzzy Functions....Pages 41-72
Aggregation Operations of Continuous Intuitionistic Fuzzy Information....Pages 73-97
Relationships Among IFWA Operator, IFIA Operator and Definite Integrals of IFFs....Pages 99-132
Complement Theory of Intuitionistic Fuzzy Calculus....Pages 133-165
Back Matter....Pages 167-168

✦ Subjects


Computational Intelligence;Operations Research, Management Science;Operation Research/Decision Theory;Probability and Statistics in Computer Science


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