| Title of paper:
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Morphological operations on temporal intuitionistic fuzzy sets
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| Author(s):
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| R. Parvathi
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| Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India
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| paarvathis@rediffmail.com
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| C. Yuvapriya
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| PG Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India
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| yuvapriya.c@gmail.com
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| Presented at:
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International Workshop on Intuitionistic Fuzzy Sets, founded by Prof. Beloslav Riečan, 2 December 2022, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4, pages 397–412
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| DOI:
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https://doi.org/10.7546/nifs.2022.28.4.397-412
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| Download:
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 PDF (265 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Temporal intuitionistic fuzzy sets, Cardinality of a TIFS, Morphological operations.
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| AMS Classification:
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03B20, 03B44.
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| References:
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