• Designation: Associate Professor & Head
  • Employee ID: 9142
  • Qualification: Ph.D.
  • : 0731-258254
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  • Detailed Profile
About Faculty: Dr.Rachna Navalakhe has completed her B.Sc. from Satya Sai College, Bhopal in 1996, M.Sc. in Mathematics from M.L.B College Bhopal in 1998, M.Phil. from DAVV in 1999 and Ph.D. in Applied Mathematics from DAVV Indore in 2014. She has 24 years of teaching experience. She has supervised many PG students and guiding Ph.D. student’s also. She has published nearly 36 National/International conference and journal research papers. She is a Member of several professional bodies. Her present area of research includes Fuzzy Topology, Fuzzy Logic and its Application, Cryptography and Coding Theory.
Education and Qualification:

S. No.

Degree

Specialization

Year

University/Board

1.

Ph.D.

Applied Mathematics

2014

D.A.V.V., Indore.

2.

M.Phil

Mathematics

1999

D.A.V.V, Indore.

3.

M.Sc.

Mathematics

1998

Barkatullah University, Bhopal.

4.

B.Sc.

 Computer Science

1996

Barkatullah University, Bhopal.

Work Experience:

S.

No.

Designation

Department

Employer  Name

Duration of Employment

1. Associate Professor Department of Applied Mathematics and Computational Science S.G.S.I.T.S. Indore From 31/08/2019 to till date

2

Assistant Professor (Selection Grade)

Department of Applied Mathematics and Computational Science

S.G.S.I.T.S. Indore

From 31/08/2016 to 31/08/2019.

3.

Assistant Professor (Senior Scale)

Department of Applied Mathematics and Computational Science

S.G.S.I.T.S. Indore

From 31/08/2011 to  30/08/2016

4.

Assistant Professor

Department of Applied Mathematics and Computational Science

S.G.S.I.T.S. Indore

From 31/08/2006 to  30/08/2011

5.

Assistant Professor (Contract)

Department of Applied Mathematics and Computational Science

S.G.S.I.T.S. Indore

From 26/07/2003  to 30/08/2006

6.

Visiting Faculty

Department of Mathematics

Institute For Excellence in Higher Education, Bhopal.

From 31/08/2001 to 31/10/2002

7.

Assistant Professor

Department of Mathematics

Unique College, Bhopal

From 01/12/2000   to 30/09/2001

Research Details: Area of Research:
    Fuzzy Topology
    Fuzzy Logic and its Application
    Cryptography
    Coding Theory
PhD Supervision:

S. No.   

Name of   student

 Status                    

Title

University

1.

Purva Rajwade

Submitted Thesis

A Mathematical study of Nano Fuzzy Topological Spaces and their Properties                

Devi Ahilya University, Indore.

2.

Nidhi Bhandari

Submitted Thesis

Applications of Graph Theory and Text Mining in Information Retrieval

Devi Ahilya University, Indore.

3.

Gayatri Rathod

Pursuing

An Approach to Fuzzy Modelling In Various Domains of Modern Agriculture

 Devi Ahilya University, Indore.

4. Pooja Bhatt Pursuing To be finalized Devi Ahilya University, Indore.
Publications:
S.No. Research Type  Research Title  Publication Year
       
1. National On  Fuzzy Closure Spaces  2010
2. National A Note On Complemented Fuzzy Topological Spaces 2010
3. International On  Fuzzy Biclosure Spaces   2011
4. International Regular Fuzzy Biclosure Spaces   2011
5. International Hausdorff Fuzzy Biclosure Spaces 2011
6. International Generalized Normal Fuzzy Biclosure Spaces 2011
7. International Normal Fuzzy Biclosure Spaces  2011
8. International Generalized Regular Fuzzy Biclosure Spaces  2012
9. International On Fuzzy Closed Maps in Fuzzy Biclosure Spaces 2012
10. National Delta-Fuzzy Closed Sets in Fuzzy Closure Spaces 2013
11. International Pairwise Fuzzy Closed Sets in Fuzzy Biclosure Spaces 2014
12. National Pairwise Fuzzy Bicontinuous Map in Fuzzy Biclosure Space 2015
13. International Fuzzy Continuous Maps in Fuzzy Closure Spaces 2015
14. International Regular Fuzzy Closure Spaces 2016
15. International Fuzzy Bicontinuous Maps in Fuzzy Biclosure  Spaces 2016
16. National Hausdorff Fuzzy Closure Spaces       2018
17. International Delta Fuzzy Closed Sets in Fuzzy Biclosure Spaces 2018
18. International Fuzzy Biclosed Maps And Pairwise Fuzzy Biclosed Maps In Fuzzy Biclosure Spaces 2019
19. International On Nano Fuzzy Topological Spaces 2019
20. International Nano Fuzzy Continuous Functions 2021
21. International Cryptographic Algorithms Using Finite State Machine, Bernoulli and Lucas Numbers 2021
22. National SOIR: Semantic Query Optimization Based Information Retrieval Technique 2021
23. International Generalized Fuzzy Continuous Maps and Generalized Fuzzy Closed Maps in Fuzzy Biclosure Space 2021
24. International Optimization of User Query for Improving Document Retrieval Performance 2022
25. National Nano Fuzzy b-open Sets in Nano fuzzy Topological Spaces 2022
26. International Cryptography: Recent Research trends of encrypting Mathematics 2022
27. International Nano Generalized Fuzzy Semi Open Sets and Nano Fuzzy β-Open Sets in Nano Fuzzy Topological Space 2022
28. International A Deep Learning Model for Classifying the Hate and Offensive Language in Social Media Text 2022
29. International On Nano Fuzzy Forms of Weakly Fuzzy open Sets 2022
30. International A Review paper on Text Mining Using Graph  Theoretic Techniques 2022
31. International Determination of Milk Production from Cattle using Fuzzy Expert  Model 2022
32. International Social Media Toxic Content Filtering System using SOIR Model, 2023
33. International Implementation of Cryptographic Algorithms  using Recurrence Matrix and  Moore machine 2023
34. International Spam Review Identification In E-Commerce Platforms To Help Ecommerce Users To Make Correct Product Decisions 2023

35. International Nano Fuzzy Generalized α-closed Sets and Nano Fuzzy α-generalized Closed Sets and Application 2023
36. International A New Cryptography Model Using Adjoint Of Matrix 2023
37. International Nano Fuzzy Z-Open Sets and its Application in Nano Fuzzy Topological Space 2024

Book/Book Chapters

S.No. Title of Book Chapter/eBook Published Title of Book                                          Publisher ISBN/EISBN Year  of Publication
 1.  Separation Axioms using Delta Fuzzy Closed Sets in Fuzzy Biclosure Space Research Trends in Mathematics  and Statistics  AkiNik publication  978-93-5570-214-2  2022
 2.  T1/2* Fuzzy Spaces and T1/2** Fuzzy Spaces in Fuzzy Biclosure Space

Novel Research Aspects in  

 Mathematical and Computer Science
 B.P. International  978-93-5547-727-9  2022
3.  Delta Fuzzy  Continuous Mappings in Fuzzy Closure Spaces Research Approaches in Multidisciplinary Subjects  Red'shine Publication  978-93-94727-01-4  2022
4.  Generalized Fuzzy Closed Sets in Fuzzy Closure Spaces Research Approaches in Multidisciplinary Subjects  Red'shine Publication  978-93-94727-01-4  2022
5.

Determination of Delta Variant of Covid-19 using Fuzzy Expert System Model,

Recent Research Trends in Mathematics  Integrated Publication  978-93-95118-58-3.  2023
6. Transforms and Partial Differential Equations  Scientific International Publishing  978-93-5625-390-2.  2022

(II)       International/National ConferencePublications :17



1. Commutative Henselian Rings And Its Basic Properties,12th Annual Conference and National  Symposium On Applications Of Special Functions, Organized by VijnanaParishsad of India at Jai Narain Vyas University Jodhpur(Rajasthan). 25-27 Oct., 2007
2. An Algorithm to Find Maximum Possible Flow in a Network BasedonObject Oriented Approach, 50th Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) an International Meet organized at IIT, Kharagpur.  14-17 Dec. , 2005
3. Emergence of Mathematical Senerio,International Conference on History & Heritage of Mathematical Sciences organized by Holkar Science College Indore and Indian Society for History of Mathematics, Indore.  16 -19Dec., 2004
4. Implementation of Artificial Neural Network in Cryptography, National Multi Conference on Recent Developments in Pure and Applied Mathematics organized by Deptt. Of Engineering Mathematics Lakshmi Narain College of Technology Indore.  29 Nov., 2014
5. Encoding & Decoding Techniques of Reed Solomon Codes, National Multi Conference on Recent Developments in Pure and Applied Mathematics organized by Deptt. Of Engineering Mathematics Lakshmi Narain College of Technology Indore () .  29 Nov., 2014
6. Fuzzy Continuous Maps in Fuzzy Closure Spaces, International Conference on Innovative Research in Engineering, Science and Management (ESM-15) organized by Academic Science and Conference Info at Jawaharlal Nehru University, New Delhi.  20th Sept., 2015
7. Regular Fuzzy Closure Spaces, 3rd International Conference on Recent Innovations in Science,  Engineering and Management  organized by Srivenkateswara College of Engineering and Technology, Srikakulam Andhra Pradesh.   27th Feb., 2016
8. Delta Fuzzy Closed Sets in Fuzzy BiclosureSpaces,  International Conference on Emerging Trends in Science Engineering and Technology( ICETSET-2018) at Dr.D.Y Patil School of Engineering, Pune.  21-22 March, 2018
9. On Nano Fuzzy Continuity, International Conference on New Frontiers in Mathematics and Symposia on I-function and its Applications in Mathematics and Data Science held on the occasion of Silver Jubilee of Gwalior Academy of Mathematical  Sciences  by UGC,DST and NBHM at School of Mathematics and Allied Sciences, Jiwaji University, Gwalior.   11-13 Dec., 2018.
10. Encryption and Decryption Algorithm Using Finite State Machine and Recurrence Matrix, International Conference On Electrical, Electronics Mechanical and Computing (ICEEMC 2019) organized by Govt. Holkar (Autonomous) Science College, Indore (M.P.) .  29-30 March 2019.
11. Improved Document Retrieval Techniques using Optimization of user Query, International Conference On Recent Trends in Analysis and Optimization(ICARTO 2020) organized by NITTTR Bhopal.   9-11 November 2020.
12. Introduction on Fuzzy Triclosure Space, International Conference on Multidisciplinary Research in Science, Technology and Humanities organized by Department of Applied Science Sage University, Indore. 22-23   December, 2021.
13. Multi-layered Fuzzy Inference Model for evaluating depression using Beck Depression Inventory, International Conference on Fuzzy Mathematical Analysis and Advances in Computational Mathematics (FMAACM 2021) organized by    Pondicherry  University (A Central University of India), India.   25th -26th  February, 2021.
14 Design and Development of Fuzzy Logic Based Expert System for Prediction of Stages of Lungs Cancer, 8th International Conference on Mathematics and Computing (ICMC 2022) organized by VIT, Vellore.  6th - 8th January 2022.
.15.

Fuzzy Logic Based Expert System for Livestock Milk Production, International Conference on Mathematical Modelling And Computational Intelligence  in association with Rajiv Gandhi Prodyogiki Vishwavidyalaya, Bhopal, (M.P.) India and organized by Department of Engineering Mathematics, Lakshmi Narain College of Technology & Science, Bhopal,(M.P.) India 

15th - 16th July, 2022.
16
Fuzzy Expert Model to assess the soil fertility for Soil Fertility for Soyabean Production in Madhya Pradesh, International Conference on Mathematical Society- BHU on Recent Trends in Mathematical and Computational Sciences(RTMCS-2023) held at DST- Centre  for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi, India . 03-05 February, 2023.
17. The Prediction of Soyabean Seed Germination with the help of Fuzzy  Modelling, 2nd International Conference on Recent Trends in Applied Sciences and Computing Engineering(RTASCE - 2023),  VIT Bhopal. 7-9 July 2023.

Other Details:

Conference Chair

1. International Conference on Computational Mathematics and Applications CMA-2019, Discipline of Mathematics, IIT Indore. 12-Nov-2019
2. International Conference on Multidisciplinary Research in Science, Technology and Humanities,Department of Applied Science, Sage University Indore. 22-23 Dec.2021

List of Conferences/Workshops/Seminars organized
 
1.
One day Seminar on Ramanujan’s day organized  by  Department of Applied   Mathematics  and  ComputationalScience, SGSITS, Indore. 
31 Dec.,2012.
2.
Coordinator of two-day Workshop on Recent Advances in Mathematics and Its Applications, organized by Department of Applied Mathematics and Computational Science, Shri G. S. Institute of Technology and Science, Indore funded by TEQIP-Phase II. 
20-21 Jan 2017.
3.
Coordinator of two-day Workshop on Role and Importance of Mathematics in Industries, organized by Department of Applied Mathematics and Computational Science, Shri G. S. Institute of Technology and Science, Indore funded by TEQIP-Phase III.
27-28 April 2018.
4.
Coordinator of one day Webinar on Artificial Intelligence And Influence of Mathematicsorganized by Department of Applied Mathematics and Computational Science, Shri G. S. Institute of Technology and Science, Indore. 
7th June 2020.
5.
Departmental Convener of Mathematical Sciences in 35th  MP young Scientist Award Conference held at SGSITS, Indore.
Feb 2020.
6.
Coordinator of one day Workshop  on the occasion of National Mathematics day 2020  organized by Department of Applied Mathematics and Computational Science, Shri G. S. Institute of Technology and Science, Indore and funded byNational Council for Science and Technology Communication(NCSTC), DST, New Delhi and M.P, Council of Science andTechnology (MPCST), Bhopal.
26th December, 2020.
7.
Coordinator of two day Workshop on the occasion of National Science Day 2021 onthe Theme: Future of STI: Impact of Education, Skills and Work, organized by Department of Applied Mathematics and Computational Science, Shri G. S. Institute of Technology and Science, Indore and funded by National Council for Science and Technology Communication(NCSTC), DST, New Delhi and M.P, Council of Science andTechnology (MPCST), Bhopal. 
7th-8th March 2021.
8.
Coordinator of   an Expert Lecture on Innovation Analytics and Applications by Dr. Nachiappan Subramanian, delivered by Professor, Operations, Logistic Management and Supply Chain, University of Sussex Business School, UK.  
31st March 2022. 
9. Convener of two days workshop on National Mathematics Day,  organized by Department of Applied Mathematics and Computational Science, Shri G. S. Institute of Technology and Science, Indore during 4th-5th January 2024.  


Invited Lectures/Expert Talks

1. Delivered Expert Lectures on the topics “Cryptography and its Applications in Industries”in 6 days Summer School on Industrial Mathematics organized by Department of Applied Science,  Sage University,  Indore. 11th -  16th May,,2020  .
2. Delivered Expert Lectures on the topics “Fuzzy Expert System and its Applications” in 6 days Summer School on Industrial Mathematics organized by  Department of Applied Science, Sage University, Indore.   11th  and 16th May, 2020 .
3. Invited as Guest speaker for delivering Expert session  on the topic  “Fuzzy logic and its Applications”under SAGE Talk series organized by  the  Department of Mathematics , Sagar Group of Institutions, Bhopal.   16th June, 2020.
4. Invited as Keynote Speaker in the National Conference Interdisciplinary Research and Innovation Technologies (NCIRIT – 2020) and delivered Lecture on the topic “Fuzzy graph and its Applications”.  25-26 June 2020.
5. Delivered an Expert Lecture on the occasion of National Mathematics day on the topic Applications of Mathematics organized by Acropolis Institute of Management Studies and Research (AIMSR), Indore.    22nd December, 2020.
6. Keynote Speaker in one day Faculty Development Program on the topic Cryptography: The Mathematical View organized by Department of Mathematics , Acropolis Institute of Technology and Research , Indore.    13th  February, 2021
7.  Invited as Guest speaker for delivering Expert session on the occasion of National Pi day on the topic  “ Pi – An Amazing Discovery  of Mathematics “ organized by Department of Applied Science, Sage University , Indore.    15th  March , 2021
8.  Delivered an Expert Lecture in the webinar on the topic  “ Mathematics for Engineering Applications” organized by S.D.Bansal College , Indore.    27th  March , 2021.
9.  Delivered an Expert Lecture on the topic “An Overview of Mathematical Software and its Applications ” organized by organized by Sagar Group of Institute, Bhopal.   27th July, 2021.
10.  Delivered an Expert Lecture on the topic “An Overview of Technical Skills and Application of Mathematical Software” organized by St. Paul Institute of Professional Studies, Indore.   14th  September , 2021.
11.  Delivered Expert Lectures on the topics “Cryptography and its Applications in Industries”in 6 days Summer School on Industrial Mathematics organized by Department of Applied Science,  Sage University,  Indore.  11th  and 16th May,2020
12.  Delivered an Expert Lecture on the topic “Role of Mathematical Software in Real, Applied and Computational Field” in one day workshop organized by Sage University, Indore.   15th September , 2021.
13.  Delivered an Expert Lecture on the topic “ Mathematical Modelling using Fuzzy Logic and its Applications in Medical Diagnosis” in Five days National Seminar on “Mathematical Modelling and its Applications organized by IPS Academy, Indore.   26th -30th July, 2022.
14. Delivered an Expert Lecture on the topic Mathematical Software and their Applications in two days National workshop organized by Department of .Physical Science and IQAC, Ravindranath Tagore University Bhopal. 28th -29th November, 2022.
15. Delivered an Expert Lecture on the topic Discovering the Art of Mathematicson the occasion of National Mathematics Day in Sage University, Indore 23rd December 2022.
16. Delivered an Expert Lecture on the topic Journey of Mathematics and Its Applications ” on the occasion of National Mathematics Day in IPS Academy, Indore. 23rd December 2022.
17 Delivered an Expert Lecture on the topic Mathematics for Everyone ” on the occasion of National Mathematics Day in S.D.Bansal College , Indore. 22rd December 2023.

Member of Professional Bodies

1.

Indian Academy Of Mathematics,  LM No. 264, 2009.

2.

Indian Society for Technical Education,LM-100755, 2014.

3.

Indian Society of Industrial & Applied Mathematics, LM No.-21,2018.

4.

 Indian Mathematical Society, LM No.- L/2019/45, 2019.

5.

Ramanujan Mathematical Society, LM No.- 1528, 2019.

6.

 Operational Research Society of India, LM No. 1362 R 19 ML.

7.

Malwa Vigyan Parishad Samiti, Membership ID: VB-MVPS-10403.


Other Activities :

Conference Chair

S.No.

Title

Year

1

International Conference on “Computational and Mathematical ApplicationsCMA-2019, Discipline of Mathematics, IIT Indore.  12th-14th November 2019.

2.

 International Conference on Multidisciplinary Research in Science, Technology and Humanities organized by Department of Applied Science , Sage university, Indore.

 22-23rd Dec. 2021

 

1.

Invited as Judge for KVS Regional Level 47th   “Jawaharlal Nehru National Science,  Mathematics and Environment Exhibition for children (JNNSMEE)-2020” held at  Kendriya  Vidyalaya No.1 Indore.

2.

Member of the Reviewer Committee of “International Journal of Research in Computer  Science and Management”.

3. Member of Advisory Board of “An International Conference on Multidisciplinary Research in Science Technology and Humanities (ICMRSTH-2021)” organized by Department of Applied Science, SIRT, Sage University, Indore.
4. Member of Advisory Board of “International Conference on Mathematical Modelling And Computational Intelligence ICMMCI-2022” organized by Department of Engineering Mathematics, Lakshmi Narain College of Technology and Science in association with Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal.
5. Member of Organizing Committee “International Conference on Applications of Operational Research in Business and Industries (AORBI-2021) with 54th Annual Convention organized by Indore Chapter of ORSI (Operational Research Society of India) at Government Model Autonomous Holkar Science, Indore during 17-19 Dec. 2021.
6 Invited as Judge for Model Making competiton on National Mathematics Day  at Sica College Indore on 21st  December 2024.