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“எண்ணிய முடிதல் வேண்டும்,
நல்லவே எண்ணல் வேண்டும்;
திண்ணிய நெஞ்சம் வேண்டும்,
தெளிந்தநல் லறிவு வேண்டும்;”
- மகாகவி சி. சுப்பிரமணிய பாரதி
“Let my thoughts bloom into action;
Let me think only noble thoughts;
Let me have valiant heart;
Let me have a clear wisdom;"
- Mahakavi C. Subramania Bharathiar
PROFILE
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
Research Area
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
Featured Publications
Courses Teaching
- Fuzzy Set Theory
- Algebra
- Function Analysis
- Numerical Methods
- Statics
- Dynamics
EDUCATION & CAREER
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- Education
-
Ph.D.
Subject : Mathematics
Institution : Chikkanna Govt Arts College, Tiruppur
Affiliated University : Bharathiar University
Year of Award : 2015State Eligibility Test
Year of Award : 2016
Register Number : 2702063PGDCA
Subject : Computer Application
Institution : Alagappa University
Affiliated University : Alagappa University
Year of Award : 2004M.Phil.
Subject : Mathematics
Institution : Madurai Kamaraj University
Affiliated University : Madurai Kamaraj University
Year of Award : 2003M.Sc.,
Subject: Mathematics
Institution : Bharathiar University, Coimbatore
Affiliated University : Bharathiar University
Year of Award : 2000B.Sc.,
Subject: Mathematics
Institution: LRG Govt Arts College, Tiruppur
Affiliated University: Bharathiar University
Year of Award: 1998
- Career
-
At Bharathiar University (Reverse Order)
Deputy Director Incharge, Centre for Research and Evaluation: December 2021 to Till DateAt Bharathiar University
Associate Professor : November 2016 to Till DatePast Experience
Associate Professor : June 2002 to November 2016 at Tiruppur Kumaran College for Women, Tiruppur
Guest Lecturer : August 2000 to March 2002 at L.R.G Govt Arts College for Women, Tiruppur
RESEARCH AREAS
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
| Research Areas | Description |
|---|---|
| Fuzzy sets and Systems | Fuzzy sets play a vital role in the development of both linguistic and numerical modeling: fuzzy rule-based systems. Fuzzy rule-based modeling has been combined with other techniques such as neural nets and evolutionary computing and applied to systems and control engineering, with applications to robotics, complex process control and supervision. Our research is about stability analysis of fuzzy dynamical systems which include the following problems: stabilization of fractional order fuzzy system, stabilization of fractional order financial system, stabilization of fractional order fuzzy financial system, and stabilization of fractional order fuzzy tumor system. And these problems are studied by using Lyapunov's second method of stabilization. Further, different types of fault tolerant controllers are proposed for the aforementioned problems. |
| Similarity measures |
In many practical applications of computer vision, there arises a need In such cases, the computation of distance or similarity measures becomes essential to distinguish the similarity between two sets. These measures are very common in many applications that deal with matching-related problems. To find the similarity between the two sets the match value, fuzzy similarity, distance measure, measures of fuzziness, and entropy are calculated between fuzzy sets and fuzzy elements. These fuzzy measures are useful when we deal with fuzzy data. In fuzzy database and information retrieval, a query data is allowed to match with the data in the database and if the matching degree, that is, the similarity measure value, exceeds a specified threshold, then the data is retrieved. In many image-processing tasks such as region extractions, image retrieval, edge detection, clustering we utilize fuzzy-based similarity measures to compare two images. |
| Medical image processing | The environment of medical imaging has changed dramatically by changing from analogue to digital technology. The widely used techniques are computed tomography (CT), Doppler imaging, magnetic resonance imaging (MRI), functional MRI and many others. The main task of image processing is converting the pictures into digital form. A diversity of problems in image processing range from image perception to image interpretation. Low-level image processing is concerned with the pixels, which initially enhances or filters the image, that is, it preprocesses the image. The next level of the image processing is concerned with the regions in the image. Here, the features of different regions or objects are extracted. The next process is high-level processing where the whole or parts of the image or series of the images are considered. The images are segmented for classification and recognition and finally interpretation. In the high level, the knowledge of experts is involved in making decisions. Different types of fuzzy membership functions, fuzzy operators, fuzzy measures are used in processing the medical images. The medical image fusion using the fuzzy method blends the multi-modality images into a single image and obtains excellent visual quality without any vagueness. |
PUBLICATIONS
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- 2022
-
- 2021
-
7. Fault estimation observer design for fractional-order financial system subject to time-delay
S. Senpagam, P. Dhanalakshmi and R. Mohanapriya
International Journal of Dynamics and Control 9, 190–198 (2021)6. Fault tracking sliding-mode controller design for fuzzy fractional-order system subject to actuator saturation
P.Dhanalakshmi, S.Senpagam, and R.Mohanapriya
International Journal of Dynamics and Control,1-13 ( 2021).
- 2020
-
5. Finite-Time Fault Tracking Control for T–S Fuzzy Systems Using Intermediate Estimator
S. Senpagam, P. Dhanalakshmi , and R. Mohanapriya
International Journal of Fuzzy Systems 22, 101–110 (2020)4. Robust fault estimation controller for fractional-order delayed system using quantized measurement
P. Dhanalakshmi, S. Senpagam and R. Mohana Priya
International Journal of Dynamics and Control, 8, 326–336 (2020) - 2019-2004
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3. Resilient Reliable Dynamic-output-feedback Control for Takagi-Sugeno Fuzzy Time-Delayed Systems with Time-Varying Actuator Fault
S.Senpagam, P.Dhanalakshmi, and R.Mohanapriya
International Journal of Research in Advent Technology, 7, 5, 372-380 (2019)
2. Observer-Based Finite-Time Nonfragile Control for Nonlinear Systems With Actuator Saturation
R. Sakthivel , R. Mohana Priya , Chao Wang ,and P. Dhanalakshmi
Journal of Computational and Nonlinear Dynamics, 14, 1, 011004 (2019)1. Output tracking control of switched nonlinear systems with multiple time-varying delays
L. Susana Ramya,R. Sakthivel,A. Leelamani,P. Dhanalakshmi, and N. Sakthivel
International Journal of Systems Science, 49, 11, 2373-2384 (2018)
Convened online Lecture series on "Sagemath and its Applications" on 10.01.2023 - 11.01.2023.
Convened Guest Lecture and Seminar on “Advance of Python and Its Application” on 07.05.2022.
Convened “National Conference on Nonlinear Analysis: Theory and its Applications” during 25.02.2019 - 26.02.2019.
Convened “International Conference on Differential Equations and Applications” during March 15.03.2017-16.03.2017
TEACHING
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
| S.No | Course Title |
| 1 | Python Programming |
| 2 | Fuzzy Set Theory |
| 3 | Algebra |
| 4 | Functional Analysis |
| 5 | Numerical methods |
| 6 | Statics |
| 7 | Dynamics |
PROJECTS
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- Funded Projects (National Level)
-
Ongoing Projects List with necessary InformationCompleted Projects List with necessary Information
- Consultancy Projects
-
Ongoing Consultancy Project InformationsCompleted Consultancy Project Informations
RESEARCH GUIDANCE
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- Ph.D
-
Ongoing:
1. Name of the candidate : Rihanna Farveen
Title of the Thesis : Ongoing
Year : 2022 - till date2. Name of the candidate : Sandhya. M
Title of the Thesis : Ongoing
Year : 2022 - till date3. Name of the candidate : Lavanya .K.G
Title of the Thesis : Ongoing
Year : 2022 - till date4. Name of the candidate : Shrilekha. E
Title of the Thesis : Ongoing
Year : 2021 - till date5. Name of the candidate : Nandhini. M
Title of the Thesis : Ongoing
Year : 2019 - till date6. Name of the candidate : Premalatha. R
Title of the Thesis : Ongoing
Year : 2018 - till dateCompleted:
1. Name of the candidate : Senpagam. S
Title of the Thesis : Studies on observer-based fault estimation and stabilization for fractional order Takagi-Sugeno fuzzy systems
Year : 2017 - 20222. Name of the candidate : MohanaPriya. R
Title of the Thesis : Studies on Stabilization and Fault Tracking Control for Takagi-Sugeno Fuzzy System
Year : 2017 - 2020
- M.Phil
-
Ongoing:
1. Name of the candidate : Vishnupriya. S
Title of the Thesis : Ongoing
Year : 2022 - till date2. Name of the candidate : Gokulakrishnan. D
Title of the Thesis : Ongoing
Year : 2022 - till dateCompleted:
1. Student Name : K.G.Lavanya
Title of Thesis : Intuitionistic fuzzy medical image fusion using Sugeno generator and two scale decomposition
Year of Award : 2021
2. Student Name : M.Sandhya
Title of Thesis : Application of Mamdani interval-valued fuzzy logic system in fingerprint identification
Year of Award : 2021
3. Student Name : N. Kalaiselvi
Title of Thesis : Application of similarity measure on interval valued intuitionistic fuzzy information
Year of Award : 2020
4. Student Name : P. Aparna
Title of Thesis : A Study on intuitionistic fuzzy multiset and its extension
Year of Award : 2020
5. Student Name : S.Gnanasoundari
Title of Thesis : A Study on intuitionistic fuzzy labeling graph
Year of Award : 2019
6. Student Name :C.Nandhini
Title of Thesis : Interval-valued intuitionistic fuzzy graph structures
Year of Award : 2017
7. Student Name :M.Kavitha
Title of Thesis : A Novel Approach for MR-Brain image Segmentation using FCM and IFCM Algorithms
Year of Award : 2017
8. Student Name :S.Arunpriya
Title of Thesis : Intuitionistic fuzzy multi weakly generalized closed set
Year of Award : 2017
9. Student Name : S. Maheswari
Title of Thesis : Controllability of impulsive differential evolution systems with non-local conditions via measure of noncompactness
Year of Award : 2014
10. Student Name : R. Mohanapriya
Title of Thesis : Controllability of impulsive neutral functional differential equations with state-dependent delay
Year of Award : 2013
11. Student Name : S.Brindha
Title of Thesis : Global solutions for impulsive abstract partial integro differential equations
Year of Award : 2013
12. Student Name : R.Shanthi
Title of Thesis : Convergence, Stability and Boundedness of Solutions For First-Order Nonlinear Differential Equations
Year of Award : 201313. Student Name : N.Salomia Deva Priya
Title of Thesis : A study on cycles in graphs
Year of Award : 2007
14. Student Name : K. Vanisri
Title of Thesis : Non linear fuzzy simulation
Year of Award : 2007
15. Student Name : T.Chitra
Title of Thesis : Fuzzy linear programming
Year of Award : 2007
16. Student Name : S.Bharathi
Title of Thesis : A review work on controllability of semi linear integro differential equation with non local condition
Year of Award : 2006
- M.Sc.
-
Ongoing:
Completed:
1. Student Name : Rihana Farveen
Title of Thesis : A study on enhancement analysis of brain MRI images via interval-valued intuitionistic fuzzy sets
Year of Award : 20222. Student Name : S. Mythili
Title of Thesis : A study on hybrid encryption method using AES and ECC for data security
Year of Award : 20223. Student Name : R. D. Karthika
Title of Thesis : A study on solving fuzzy transportation problem using trapezoidal, pentagonal and Pythagorean fuzzy numbers
Year of Award : 20224. Student Name : G. Deepikaa
Title of Thesis : A study on tumor hypoxia using finite difference method
Year of Award : 20225. Student Name : T. Ashura Banu
Title of Thesis : Study on solving symmetric and non-symmetric trapezoidal fuzzy linear programming problem
Year of Award : 20226. Student Name : M. Amal Raj
Title of Thesis : Low light contrast enhancement of gray images using histogram equalization via intuitionistic fuzzy set
Year of Award : 20227. Student Name : D. Subhasri
Title of Thesis : Applications of fuzzy TOPSIS II in the multi-criteria decision making environment of marketing problem
Year of Award : 20218. Student Name : G. Snega
Title of Thesis : Stone-Weierstrass theorem and its applications to L2 spaces
Year of Award : 20219. Student Name : S. Sindhya
Title of Thesis : An approach for solving hexagonal fuzzy linear programming problem using ranking method
Year of Award : 202110. Student Name : N. Keerthana
Title of Thesis : Image enhancement method based on Pythagorean fuzzy sets
Year of Award : 202111. Student Name : D. Kavitha
Title of Thesis : A study on mathematical model analysis of breast cancer stages with side effects on heart in chemotherapy patients
Year of Award : 202112. Student Name : K. Divyabharathi
Title of Thesis : A study on image segmentation techniques based on Pythagorean fuzzy set and interval-valued Pythagorean fuzzy set
Year of Award : 202113. Student Name : A. Booja
Title of Thesis : Applications of Mamdani controller in analyzing user perception of security on social networking sites
Year of Award : 202114. Student Name : M. Asha Safana
Title of Thesis : Medical image contrast enhancement through fuzzy-based approach
Year of Award : 202115. Student Name : E. Shrilekha
Title of Thesis : A Study On Ulam Stability Analysis For Second And Third Order Linear Difference Equations In Banach Space
Year of Award : 202016. Student Name : S. Pavithra
Title of Thesis : Multifocus Image Fusion Using Intuitionistic Fuzzy Sets
Year of Award : 202017. Student Name : C.Nandhini
Title of Thesis : Medical Image Fusion Using Sugeno’s Intuitionistic Fuzzy Set
Year of Award : 202018. Student Name : J.Jeyakumar
Title of Thesis : A Study On Improved Cosine Similarity Measure For Pythagorean Fuzzy Sets And Their Applications
Year of Award : 202019. Student Name : R.Dharani
Title of Thesis : A Study On Extended Mabac Method Based On Divergence Measures For Multicriteria Assessment Of Programming Language With Interval-Valued Intuitionistic Fuzzy Sets
Year of Award : 202020. Student Name : T. Thangabalu
Title of Thesis : Interval-Valued Fuzzy Matrix in Digestive problem
Year of Award : 201921. Student Name :R. Soniya
Title of Thesis : Interval-Valued Fuzzy Labeling Graphs
Year of Award : 201922. Student Name : J. Sangeetha
Title of Thesis : A Study on Inverse Nodal Problem for p-Laplacian Schrodinger Equation With Energy Dependent Potential Under Lipschitz’s and Lyapunov’s Stability
Year of Award : 201923. Student Name : M. Ramya
Title of Thesis : A New Approach for Solving Fuzzy Linear Fractional Programming
Year of Award : 201924. Student Name : D. Divya
Title of Thesis : Applications of Interval Valued Fuzzy Matrix in Cardio Vascular Problem
Year of Award : 201925. Student Name : C. Visalini
Title of Thesis : A Study on Fuzzy Assignment Problem
Year of Award : 201726. Student Name : V.S. Nivethitha
Title of Thesis : A Study of Fuzzy Graph Colouring and its Application in Traffic Light Problem
Year of Award : 201727. Student Name : T. Nithya
Title of Thesis : Fuzzy Transportation Problems with Trapezoidal Fuzzy Numbers
Year of Award : 201728. Student Name : S. Nithya
Title of Thesis : A Study on Bipolar Fuzzy Graphs
Year of Award : 201729. Student Name : T. Manirathinam
Title of Thesis : Nash Equilibirum Strategy in Fuzzy Game Theory
Year of Award : 201730. Student Name :S. Harinee
Title of Thesis : A Study on Fuzzy Based Image Enhancement
Year of Award : 2017
INSTITUTIONAL RESPONSIBILITIES
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- ADMINISTRATIVE (BHARATHIAR UNIVERSITY)
-
Deputy Director i/c – Centre for Research and Evaluation
Period : from December 2021 - Till Date
Nature of Responsibility: Management of works relating to admission of Ph.D
ALUMINI REFLECTIONS
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- Awards
-
- Membership
-
Membership in Professional Bodies
Life-member:
Organization : The Indian Science Congress Association
Life-member:
Organization : Indian Society of Industrial & Applied Mathematics
Membership in Academic Bodies
Member, Board of Studies
Organization : Park’s College, Tiruppur
Period : 2016- 2019Member, Board of Studies
Organization : Rathinam College of Arts and Science, Coimbatore
Period : 2017-2019Member, Board of Studies
Organization : Dr.SNS Rajalakshmi College of Arts and Science, Coimbatore
Period : 2017-2019Member, Academic Council
Organization : P.K.R Arts College for Women, Gobi.
Period : 2017-2019Member, Board of Studies
Organization : Nirmala College for Women, Coimbatore
Period : 2017-2019Member, Board of Studies - Applied Mathematics
Organization : Bharathiar University
Period : 2017-Till dateMember, Result Passing Board
Organization : Park’s College, Tiruppur
Type of Membership : Member - Result Passing Board
Period : 2019- 2022Member, Board of Studies
Organization : Vellalar College for Women, Erode
Type of Membership : Member - Board of Studies
Period : 2019-2022
AWARDS & MEMBERSHIPS
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- Awards
-
- Membership
-
Membership in Professional Bodies
Life-member:
Organization : The Indian Science Congress Association
Life-member:
Organization : Indian Society of Industrial & Applied Mathematics
Membership in Academic Bodies
Member, Board of Studies
Organization : Park’s College, Tiruppur
Period : 2016- 2019Member, Board of Studies
Organization : Rathinam College of Arts and Science, Coimbatore
Period : 2017-2019Member, Board of Studies
Organization : Dr.SNS Rajalakshmi College of Arts and Science, Coimbatore
Period : 2017-2019Member, Academic Council
Organization : P.K.R Arts College for Women, Gobi.
Period : 2017-2019Member, Board of Studies
Organization : Nirmala College for Women, Coimbatore
Period : 2017-2019Member, Board of Studies - Applied Mathematics
Organization : Bharathiar University
Period : 2017-Till dateMember, Result Passing Board
Organization : Park’s College, Tiruppur
Type of Membership : Member - Result Passing Board
Period : 2019- 2022Member, Board of Studies
Organization : Vellalar College for Women, Erode
Type of Membership : Member - Board of Studies
Period : 2019-2022
VISITS / COLLABORATIONS / OTHERS
- Fuzzy sets and systems
- Similarity measures
- Medical Image processing
0422 2428621
dhanamath@buc.edu.in
+91 9865808871
ACADEMIC IDENTITY Scopus ORCID Google Scholar Publons Vidwan / IRINS
- Visits
-
- Collaborators
-
- Others
-