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Issue:Morphological operations on temporal intuitionistic fuzzy sets

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Title of paper: Morphological operations on temporal intuitionistic fuzzy sets
Author(s):
R. Parvathi
Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India
paarvathis@rediffmail.com
C. Yuvapriya
PG Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India
yuvapriya.c@gmail.com
Presented at: International Workshop on Intuitionistic Fuzzy Sets, founded by Prof. Beloslav Riečan, 2 December 2022, Banská Bystrica, Slovakia
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4, pages 397–412
DOI: https://doi.org/10.7546/nifs.2022.28.4.397-412
Download:  PDF (265  Kb, Info)
Abstract: This paper is devoted to develop the theory of temporal intuitionistic fuzzy sets. The matrix representation of a TIFS is also introduced for easy symbolization. In addition to a few basic operations, length of a TIFS and its properties are discussed. Morphological operations on temporal intuitionistic fuzzy sets are defined using (i) mathematical operations, (ii) structuring element, (iii) inclusion indicators, and (iv) temporal intuitionistic fuzzy divergence and verified with suitable examples.
Keywords: Temporal intuitionistic fuzzy sets, Cardinality of a TIFS, Morphological operations.
AMS Classification: 03B20, 03B44.
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