Aggregation of infinite chains of intuitionistic fuzzy sets and their application to choices with temporal intuitionistic fuzzy information

We propose the first method for aggregating infinite sequences of intuitionistic fuzzy sets in the literature. This new tool allows us to aggregate an infinite list of intuitionistic fuzzy sets over time –a particular case of temporal intuitionistic fuzzy sets– into a traditional intuitionistic fuzz...

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Bibliographic Details
Main Authors: Alcantud, José Carlos R., Khameneh, Azadeh Zahedi, Kilicman, Adem
Format: Article
Language:en
Published: Elsevier 2020
Online Access:http://psasir.upm.edu.my/id/eprint/87784/1/ABSTRACT.pdf
http://psasir.upm.edu.my/id/eprint/87784/
https://www.sciencedirect.com/science/article/pii/S0020025519311156
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Summary:We propose the first method for aggregating infinite sequences of intuitionistic fuzzy sets in the literature. This new tool allows us to aggregate an infinite list of intuitionistic fuzzy sets over time –a particular case of temporal intuitionistic fuzzy sets– into a traditional intuitionistic fuzzy set. As an application, we define scores and accuracy degrees of temporal intuitionistic fuzzy elements. Then we use these tools to solve the decision making problem where data come in the form of intuitionistic fuzzy sets along an indefinitely long number of periods.