What is she best known for?
The fields of study she is best known for:
- Artificial intelligence
- Mathematical analysis
- Algebra
Irina Perfilieva spends much of her time researching Fuzzy logic, Fuzzy number, Algorithm, Fuzzy classification and Fuzzy set operations.
Her Fuzzy logic research entails a greater understanding of Artificial intelligence.
Irina Perfilieva has researched Fuzzy number in several fields, including Discrete mathematics, Data mining, Membership function, Soft computing and Mathematical optimization.
Irina Perfilieva has included themes like Image compression and Peak signal-to-noise ratio in her Algorithm study.
Her research investigates the link between Fuzzy set operations and topics such as Defuzzification that cross with problems in Fuzzy associative matrix.
The Fuzzy set study which covers Mathematical analysis that intersects with Applied mathematics.
Her most cited work include:
- Mathematical Principles of Fuzzy Logic (693 citations)
- Fuzzy transforms: Theory and applications (420 citations)
- An image coding/decoding method based on direct and inverse fuzzy transforms (143 citations)
What are the main themes of her work throughout her whole career to date?
Irina Perfilieva focuses on Fuzzy logic, Artificial intelligence, Algorithm, Fuzzy number and Discrete mathematics.
Her Fuzzy logic research is multidisciplinary, relying on both Pure mathematics, Applied mathematics and Algebra.
As part of the same scientific family, Irina Perfilieva usually focuses on Artificial intelligence, concentrating on Data mining and intersecting with Series.
Irina Perfilieva interconnects Image compression and Image fusion in the investigation of issues within Algorithm.
Her studies in Fuzzy number integrate themes in fields like Fuzzy set operations, Fuzzy classification and Mathematical optimization.
Her Fuzzy set operations study combines topics in areas such as Defuzzification and Neuro-fuzzy.
She most often published in these fields:
- Fuzzy logic (52.29%)
- Artificial intelligence (31.68%)
- Algorithm (20.23%)
What were the highlights of her more recent work (between 2016-2021)?
- Fuzzy logic (52.29%)
- Artificial intelligence (31.68%)
- Applied mathematics (12.98%)
In recent papers she was focusing on the following fields of study:
Irina Perfilieva mainly investigates Fuzzy logic, Artificial intelligence, Applied mathematics, Algorithm and Fuzzy partition.
Her biological study focuses on Fuzzy topology.
Her Artificial intelligence research is multidisciplinary, incorporating elements of Computer vision and Pattern recognition.
Her Applied mathematics research integrates issues from Fuzzy number and Boundary value problem.
Her research integrates issues of Interpolation, Image, Compression, Image compression and Laplace operator in her study of Algorithm.
Her biological study spans a wide range of topics, including Discrete mathematics and Trapezoidal rule.
Between 2016 and 2021, her most popular works were:
- On the relationship among F -transform, fuzzy rough set and fuzzy topology (22 citations)
- Fuzzy transform to approximate solution of two-point boundary value problems (18 citations)
- Image reduction method based on the F-transform (17 citations)
In her most recent research, the most cited papers focused on:
- Artificial intelligence
- Mathematical analysis
- Algebra
Her primary areas of investigation include Fuzzy logic, Pure mathematics, Algorithm, Integral equation and Fuzzy partition.
Irina Perfilieva works in the field of Fuzzy logic, namely Fuzzy topology.
Her Pure mathematics research includes themes of Fuzzy set, Categorical variable, Residuated lattice, Neighbourhood and Fuzzy topological spaces.
Her Algorithm study also includes fields such as
- Minification together with Set,
- Laplace operator which connect with Adjacency list and Graph.
The concepts of her Integral equation study are interwoven with issues in Polynomial, Block pulse and Applied mathematics.
Her Fuzzy partition study combines topics from a wide range of disciplines, such as Image reduction, Reduction, Linear complexity and Interpolation.
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