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Issue:Some new extension principles for intuitionistic fuzzy sets

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Title of paper: Some new extension principles for intuitionistic fuzzy sets
Author(s):
Mohammad Kamrul Hasan     0009-0003-8270-2590
Bangladesh University of Business and Technology, Dhaka, Bangladesh
krul.habi@yahoo.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 2, pages 253–266
DOI: https://doi.org/10.7546/nifs.2025.31.2.253-266
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Abstract: Intuitionistic fuzzy sets (IFS) are more applicable and reliable to deal with the real life situations under uncertain environment. The extension principle is a vital concept in fuzzy field specially in fuzzy arithmetic. In this article, a pair of extension principles namely minimal extension principle and average extension principle are proposed for IFS with some associated properties. Moreover, some properties of general extension principle for IFSs are explored. Finally, arithmetic operations for IFSs based on the average extension principle are developed with examples.
Keywords: Intuitionistic fuzzy set, Extension principle, Minimal extension principle, Average extension principle, Arithmetic operations.
AMS Classification: 94D05, 03B20.
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