A Generalization of Similarity Measure in Collection of Intuitionistic Fuzzy Sets Article Swipe
Dwi Nur Yunianti
,
Noor Hidayat
,
Raden Sulaiman
,
Abdul Rouf Alghofari
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.29020/nybg.ejpam.v18i3.6514
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.29020/nybg.ejpam.v18i3.6514
A collection of intuitionistic fuzzy sets is a new approach to intuitionistic fuzzy set theory. In collections of intuitionistic fuzzy sets, a similarity measure can determine the degree of similarity based on the information carried by the collections. However, an existing similarity measure is limited to evaluating similarity between two collections defined over the same universal set. To overcome this limitation, thus, in this paper, we propose a generalized similarity measure that can be applied to collections defined over different universal sets. To construct the generalization, we first introduce the concept of inferior and equivalent relations in the collection of intuitionistic fuzzy sets. Then, we present a new formula for the similarity measure. Finally, the proposed measure is illustrated through a pattern recognition problem to demonstrate its effectiveness and practical value.
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- article
- Language
- en
- Landing Page
- https://doi.org/10.29020/nybg.ejpam.v18i3.6514
- https://www.ejpam.com/index.php/ejpam/article/download/6514/2314
- OA Status
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- Related Works
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- OpenAlex ID
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https://openalex.org/W4412977675Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.29020/nybg.ejpam.v18i3.6514Digital Object Identifier
- Title
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A Generalization of Similarity Measure in Collection of Intuitionistic Fuzzy SetsWork title
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articleOpenAlex work type
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enPrimary language
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2025Year of publication
- Publication date
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2025-08-01Full publication date if available
- Authors
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Dwi Nur Yunianti, Noor Hidayat, Raden Sulaiman, Abdul Rouf AlghofariList of authors in order
- Landing page
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https://doi.org/10.29020/nybg.ejpam.v18i3.6514Publisher landing page
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https://www.ejpam.com/index.php/ejpam/article/download/6514/2314Direct link to full text PDF
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diamondOpen access status per OpenAlex
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https://www.ejpam.com/index.php/ejpam/article/download/6514/2314Direct OA link when available
- Concepts
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Mathematics, Generalization, Measure (data warehouse), Similarity measure, Similarity (geometry), Fuzzy set, Discrete mathematics, Fuzzy logic, Pure mathematics, Artificial intelligence, Data mining, Mathematical analysis, Computer science, Image (mathematics)Top concepts (fields/topics) attached by OpenAlex
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| abstract_inverted_index.evaluating | 46 |
| abstract_inverted_index.similarity | 22, 29, 41, 47, 69, 111 |
| abstract_inverted_index.collections | 16, 50, 76 |
| abstract_inverted_index.demonstrate | 125 |
| abstract_inverted_index.generalized | 68 |
| abstract_inverted_index.illustrated | 118 |
| abstract_inverted_index.information | 33 |
| abstract_inverted_index.limitation, | 60 |
| abstract_inverted_index.recognition | 122 |
| abstract_inverted_index.collections. | 37 |
| abstract_inverted_index.effectiveness | 127 |
| abstract_inverted_index.intuitionistic | 3, 11, 18, 100 |
| abstract_inverted_index.generalization, | 85 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.39026317 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |