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Intuitionistic Fuzzy Calculus [electronic resource] / by Qian Lei, Zeshui Xu.

By: Lei, Qian [author.].
Contributor(s): Xu, Zeshui [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Fuzziness and Soft Computing: 353Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017.Description: XI, 168 p. 74 illus., 21 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319541488.Subject(s): Computational intelligence | Operations research | Management science | Computer science—Mathematics | Mathematical statistics | Computational Intelligence | Operations Research, Management Science | Operations Research and Decision Theory | Probability and Statistics in Computer ScienceAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 006.3 Online resources: Click here to access online
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. .
In: Springer Nature eBookSummary: 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.
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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. .

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.

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