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Published in:
2017 | OriginalPaper | Chapter
5. Relationships Among IFWA Operator, IFIA Operator and Definite Integrals of IFFs
Authors : Qian Lei, Zeshui Xu
Published in: Intuitionistic Fuzzy Calculus
Publisher: Springer International Publishing
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Abstract
Chapter 5 first reveals the relationship between the IFIA operator introduced in Chap. 4 and the definite integrals of IFFs defined in Chap. 3, where the IFIA operator is used to aggregate continuous intuitionistic fuzzy information. Even though the motivation and the purpose of proposing the IFIA operator and the integral of IFFs are completely different, this chapter builds the bridge between the two different concepts, which manifests that the IFIA operator is actually the definite integral of a special IFF. Moreover, we will also show the relationship between the IFIA operator and the IFWA operator from another perspective, which is different from one given in Chap. 4, which declares that the IFIA operator is the continuous form of the IFWA operator.