Intuitionistic Fuzzy Calculus

Qian Lei, Zeshui Xu (Autoren)

Buch | Softcover

XI, 168 Seiten

2018 | Softcover reprint of the original 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-85332-1 (ISBN)

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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.

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.

Erscheinungsdatum	05.03.2022
Reihe/Serie	Studies in Fuzziness and Soft Computing
Zusatzinfo	XI, 168 p. 74 illus., 21 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	284 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
Themenwelt	Technik
Schlagworte	Aggregation Operators • Complement Operator of IFNs • Definite Integrals of Intuitionistic Fuzzy Functio • Definite Integrals of Intuitionistic Fuzzy Functions • IFIA Operator • IFWA Operator • Integral Aggregating Value • Intuitionistic Fuzzy Functions • Operations on Intuitionistic Fuzzy Numbers • t-norm and t-conorm
ISBN-10	3-319-85332-5 / 3319853325
ISBN-13	978-3-319-85332-1 / 9783319853321
Zustand	Neuware