Department  Faculties
Prof. Anjan Mukherjee
Name: Prof. Anjan Mukherjee
Date of Birth: 01/01/1955
Phone number's : (+91)-9436123802(M), (+91) 381-2233975
E-mail's : This email address is being protected from spambots. You need JavaScript enabled to view it.
Fax : Nil
Academic Qualifications : M.Sc.(Pure Mathematics), Ph.D.
Present Designation/position :  Professor and Pro Vice Chancellor
Topics Taught : Real Analysis, Abstract Algebra, Fuzzy Set Theory, Fuzzy Topology

Research interest:

Topology, Fuzzy Set Theory and Fuzzy Topology, Rough Sets, Soft Set.

Publications (year wise) :

  1. On fuzzy δ-semi pre open sets and weakly fuzzy δ-semi pre open functions, Acta Ciencia Indica,Vol.35,No.1,11-15,2009.
  2. On fuzzy shightly γ-continuous mappings, Acta Ciencia Indica,Vol 35,No.1,241-252,2009.
  3. s-induced bifuzzy supra topological spaces, Acta Ciencia Indica,Vol 35,No.3,829-835,2009.
  4. On fuzzy maximal δ-open sets and fuzzy minimal δ-closed sets and their applications., Acta Ciencia Indica,Vol 35,No.3, 899-905,2009
  5. On fuzzy Sp-Closed space, J.Tri. Math. Soc.Vol 1156-61, 2009.
  6. Pre-initial bitopological spaces and their applications., Proc of the 5th Asian Mathematical Conference Malaysia,, 68-72,2009.
  7. New forms of fuzzy minimal-closed functions. Proc. of International conf. on rough sets,Fuzzy sets and Soft computing,420-432,2009.
  8. On fuzzy g-locally closed sets in fuzzy bitopological spaces, Proc. of International conf. on rough sets,Fuzzy sets and Soft computing,206-213,2009.
  9. Lower and Upper minimal continuous fuzzy multifunctions, Proc. of International conf. on rough sets,Fuzzy sets and Soft computing,214-220,2009.
  10. Fractional Binary oprations, Proc. of International conf. on rough sets,Fuzzy sets and Soft computing,221-227,2009.
  11. Pairwise semi paracompactness in fuzzy bitopological spaces, Proc. of International conf. on rough sets,Fuzzy sets and Soft computing,228-235,2009.
  12. Pairwise weakly fuzzy δ-semi pre-irresolute mappings, Proc. of International conf. on rough sets,Fuzzy sets and Soft computing,236-243,2009.
  13. On α-induced bifuzzy supra topological spaces and its associated α-initial bitopological spaces., The Journal of Fuzzy Mathematics,Los Angeles,Vol 18, No 1,129-139,2010.
  14. On fuzzy approximately semi pre irresolute and fuzzy approximately semi pre closed functions. The Journal of Fuzzy Mathematics,Los Angeles,Vol 18, No 1,257-262,2010.
  15. On weakly fuzzy δ-semi pre continuous mapping and weakly fuzzy δ-semi pre irresolute mapping., The Journal of Fuzzy Mathematics,Los Angeles,Vol 18, No 1,121-128,2010.
  16. Some Baire type properties in bitopological spaces. Proc of the National Conference On Advances in Mathematics, Gauhati University Sept. 4-7,2008(Published in 2010 ).
  17. i*j- S closed and i*j- s closed sets in bitopological spaces., The Journal of Fuzzy Mathematics,Los Angeles,Vol 18, No 3,226-232,2010.
  18. Fractionalised Groups. Int. Journal of Math. Analysis, Vol-4, 2010, no 41, 2017-2023.
  19. On faintly semi open set and faintly semi continuous function in fuzzy bitopological space, Bull. Kerala. Math. Assoc. June 2010, Vol-7, No-1, 69-74.
  20. α-induced bifuzzy supra topological spaces and its associated α-initial bitopological spaces, The J. of Fuzzy Math. 18(1), 2011.
  21. Fuzzy minimal structures, fuzzy m-regularity, fuzzy m-normality and fuzzy bitiopological spaces, The J. of Fuzzy Math. 18(1), 2011.
  22. On maximal δ-semi open and fuzzy minimal δ-semi closed sets, The J. of Fuzzy Math. 18(4), 2011.
  23. Some strong separation axioms in bitopological spaces, Bulletin of Kerala Mathematics Association, 8(1)(2011), 175-186.
  24. On δS Generalized–closed sets, Bulletin of Kerala Mathematics Association, 8(1)(2011), 41-52.
  25. On fuzzy almost semi δ-pre generalized continuous mappings, The J. of Fuzzy Math. 19(2), (2011), 633-641.
  26. Lower and Upper Minimal Weakly δ-semi Continuous fuzzy Multifunctions, The J. of Fuzzy Math. 19(3), (2011),685-693.
  27. On generalised interval valued intuitionistic fuzzy soft sets, Bull. Cal. Math. Soc.104(6)(2012),523-532
  28. Intuitionistic fuzzy soft rough sets, The J. of Fuzzy Math. 20(2), (2012), 423-432.*
  29. On fuzzy patrwise semi-pre regular space and fuzzy pairwise semi- pre.normal spaces, The J. of Fuzzy Math. 20(4), (2012), 939-948.
  30. Interval- valued intuitionistic fuzzy soft rough sets, Annals of Fuzzy Mathematics and Informatics, 5(3)(2013),533-547.
  31. Intuitionistic fuzzy rough relations, Annals of Fuzzy Mathematics and Informatics, 6(1)(2013),115-126.
  32. On fuzzy pairwise ϴ-pre continuity and its connection with fuzzy pairwise δ- pre continuity in fuzzy bitopological spaces, The J. of Fuzzy Math. 21(4), (2013),773-784
  33. A study on interval valued intuitionistic fuzzy sets of Type-2, The J. of Fuzzy Math. 21(4), (2013),759-772
  34. nterval valued intuitionistic fuzzy soft multisets and their relations, Annals of Fuzzy Mathematics and Informatics, 6(3)(2013),781-798.
  35. Interval valued intuitionistic fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 6(3)(2013),689-703.
  36. Interval valued intuitionistic fuzzy soft multi sets and their relations, Annals of Fuzzy Mathematics and Informatics, 6(3)(2013),781-798.
  37. Interval valued intuitionistic fuzzy soft set relations, Annals of Fuzzy Mathematics and Informatics, 7(4)(2014),563-577.
  38. Similarity measures of interval valued fuzzy soft sets and their applications in decision making problems, Annals of Fuzzy Mathematics and Informatics, 8(3)(2014),447-460.
  39. Several Similarity measures of interval valued Neutrosophic soft sets and their applications in Pattern Recognition Problems. Neutrosophic Sets and Systems 6(2014),54-60.
  40. Interval Valued Neutrosophic Soft Topological spaces, Neutrosophic Sets and Systems 6(2014), 17-26( with Florentin Samarandache, Department of Mathematics, University of New Mexico, USA).
  41. Similarity measures of interval valued intuitionistic fuzzy soft sets and their applications in Medical diagnosis problems, New Trends in Mathematical Sciences,2(3)(2014),159-165.
  42. Several Similarity measures of Neutrosophic soft sets and its application in real life problems, Annals of Pure and Applied Mathematics, 7(1)(2014),1-6.
  43. Parameterized Topological Space Induced by Intuitioistic Fuzzy Soft Multitopological Spaces, Annals of Pure and Applied Mathematics, 7(1)(2014),7-12.
  44. Rough Interval-Valued Intuitionistic Fuzzy Sets, Annals of Fuzzy Mathematics and Informatics, 9(1)(2015),111-123.
  45. Soft interval valued intuitionistic fuzzy rough sets, Annals of Fuzzy Mathematics and Informatics, 9(2)(2015),279-292.
  46. Mixed δ-semi pre fuzzy topological spaces, Bull.Cal.Math.Soc.,106(6) (2014),441-452.
  47. Partially included intuitionistic fuzzy rough relations, Bull. Of Kerala Mathematic Association, 11(2)(2014),175-182.
  48. Relations On Intuitionistic Fuzzy Soft Multi sets, Information Science and Applications, Lecture notes on Electrical Engg. 339, DOI 10-1007/978-3-662-46578-3_71,Springer-Verleg Berline Heidelberg (2015),607-614.
  49. A new method of measuring similarity between two neutrosophic soft sets and its applications in pattern recognition problems, Neutrosophic Sets and Systems,8(2015),70-76.
  50. Some results on fuzzy soft multi sets, International Journal on Cybernetics and Informatics,4(10(2015),51-65.
  51. Soft sets combined with interval valued intuitionistic fuzzy sets of Type-2 and rough sets, New Trends in Mathematical Sciences,3(2)(2015),199-218.
  52. Interval Valued Neutrosophic Soft Sets, The Journal Of Fuzzy Mathematics(Los Angeles),23(2)(2015),283-294.
  53. Interval Valued Neutrosophic Soft Set Relations, The Journal Of Fuzzy Mathematics (Los Angeles),23(2)(2015),309-324.
  54. Application of Level Soft Sets in Fuzzy Soft Multi Set Based Decision –Making Problems, Int. J. Open Problems Compt. Math. , 8(2)(2015),1-13
  55. Applications of Fuzzy soft multi sets in decision making problems, Smart Innovation, Systems and Technologies http://www.springer.com/series/8767 [ ISSN: 2190-3018 ], Springer Verlag. [ SCOPUS indexed]( proceeding of 3rd international conference on Advaced computing,networking and informatics(ICACNI2015).
  56. 56. Fundamental theory of sequences in intuitionistic fuzzy soft topological spaces, International Journal of Advanced Research in Engineering and Applied Sciences , 4(6)(2015),40-48.
  57. An Application for Decision Making Based on Interval Valued Intuitionistic Fuzzy Soft Multi Sets, International Journal of Information Processing.9(2)(2015),84-92
  58. A novel approach to weighted interval-valued intuitionistic fuzzy soft multi-sets based decision making, Int. J. Open Problems Compt. Math. , 8(3)(2015),12-28..
  59. On intuitionistic fuzzy soft multi relations, International journal of computer science and network solutions, ,3(6)(2015),10-17.
  60. Measurable Soft Sets, Int. J. Open Problems Compt. Math. , 8(4)(2015),12-25..
  61. Operation on intuitionistic fuzzy soft multi sets, .Proceedings of ICFM(2015),4-7.
  62. Application of interval valued intuitionistic fuzzy soft sets in investment decision making, ,2015 fifth international conference on advances in computing and communication,IEEE,61-64.
  63. Interval valued intuitionistic fuzzy soft multi set theoretic approach to decision making problems, IEEE international conference on computer , communication and control, MGI, Indore,Sept.10-12, (2015).
  64. Theory of dense sets in intuitionistic fuzzy soft topological spaces, Bull. Of Kerala Mathematic Association, 12(1)(2015),87-95.
  65. Results on intuitioistic fuzzy soft multisets and its application in information system, Journal of New Theory, 10(2016)66-75.
  66. Interval valued fuzzy soft sets in decision making based on game theory and their applications, Proceeding of international conference on Energy, Communication, Data Analysis and Soft Computing , V4( 2017),80-86( 978-1-5386-1887-5/17$31.00©2017 IEEE.
  67. Application of intuitionistic fuzzy soft sets in decision making based on real life problems, Bull. of Kerela Mathematics Association V15 (1) (2017). 59-66
  68. Interval valued fuzzy soft game based on decision making and their applications, Proceeding of international conference on Energy, Communication, Data Analysis and Soft Computing , Vol. IV (2017),80-86( 978-1-5386-1887-5/17$31.00©2017 IEEE.

Seminar/Conference/Workshop/Refresher/Orientations etc. Participated:

  1. AMC 5th Asian Mathematical Conference, June22-26,2009. Putra World Trade Centre,Kuala Lumpur,Malaysia.
  2. International Conference on Rough sets, Fuzzy sets and soft computing, Department of Mathematics, Tripura University, Nov.5-7,2009.
  3. 16th Mathematics Conference, Bangladesh Mathematical Society, Department of Mathematics, BUET, Dhaka, Bangladesh, Dec.17-19,2009.
  4. Seminar on Rough sets, fuzzy sets and their applications, Department of Mathematics, Tripura University, April7, 2010.
  5. ICM-2010, 19-27, August, 2010, Hyderabad, India
  6. International Conference on Recent Development in Mathematical Scince and their Applications, Calcutta Mathematical Society, December9-11, 2010
  7. National Conference on Mathematical Analysis and its Applications, January 5-6, 2011, Dept. of Mathematics, Tripura University
  8. 45th Annual Spring Topology and Dynamics Conference, University of Texas at Tyler, March 17-19, 2011 ( Given a talk : On pairwise semipro regular and pairwise semipro normal spaces).
  9. National Seminar to Commemorate the Sesquicentennial Birth anniversary of “SIR ASUTOSH MOOKHERJEE” (1864-1924), Invited talk on “Topological Structure form by fuzzy multisets” on September 6-8,2013
  10. 26th Summer Conference in Topology and its Applications, City College of New York, USA , July 26- 29, 2011
  11. National Seminar on Analysis and its Applications, Calcutta Mathematical Society, Calcutta, Sept. 6-7, 2011
  12. National Seminar on Mathematical Analysis and its Applications, Dept. of Mathematics, TU, Sept.10, 2011
  13. 1st Tripura Science Congress, Tripura State Council for Science and Technology, Sept.8-9, 2011
  14. National Seminar on Rough Set, Fuzzy Set and Soft Computing, Dept. of Mathematics, TU, Nov.11-12, 2011
  15. 17th Mathematics conference at Bangladesh, BMS and Jahangirnagar University, Dec.22-24,2011
  16. National Seminar on Analysis, Modelling and Geometric Topology(NSAMGT-2012), Kalyani University, March21-22, 2012
  17. 2nd National Conference on Mathematical Analysis and its Applications, Department of Mathematics, Tripura University, April 5 – 6, 2012
  18. National seminar on Mathematical Analysis and Applications: Present Perspective(NSMAAPP-2012), September 06-07,2012, Calcutta Mathematical society, Invited talk.
  19. Workshop on Rough set and its Applications, Nov.,16-17,2012, Department of Mathematics and FRSA, Delivered lecture.
  20. 2nd International Conference on Rough sets, Fuzzy sets and soft computing, Department of Mathematics, Tripura University, January 17-19,2013, , Sponsored by T.U,FRSA, Chairperson.
  21. 1st International Conference on Recent trends in Mathematics and its applications, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, March20-21,2013, Invited talk, A hybrid model -----------Fuzzy rough sets.
  22. 3rd International Conference on frontiers of Mathematics and applications(ICFMA-2014), Department of Mathematics, The University of Burdwan, January 29-31,2014, Invited talk.
  23. National conference on Ancient Indian Mathematics, Tripura Mathematical Society, Feb.,08-09, 2014, Delivered a lecture.
  24. 5-day national workshop on optimization and fuzzy mathematics(NWOFM-2014), organized by Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, September 9-13,2014, Invited talk, on Fuzzy rough sets, Chaired a Session.
  25. Workshop on understanding the books and journal article publishing process, organized by Elsevier in collaboration with central Library ,Tripura University on 26th September,2014.-Participated.
  26. International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 14) held on 6-9 November,2014 in Antalya-Turkey, Presented a talk entitled Some results on separation axiom in Mixed delta semi-pre fuzzy topological spaces.
  27. Author Workshop on-Skill development to write Scientific Literature quality improvement of manuscript for publication success-organized by Springer in collaboration with central Library, Tripura University on 18th November,2014.-Participated.
  28. International Conference on Current Developments in Mathematics and Mathematical Sciences (ICCDMMS-2014) organized by Calcutta Mathematical Society, December19-21,2014, Delivered an invited talk ‘Mixed δ- semi pre fuzzy topological spaces and chaired a session.
  29. International Conference On Recent Advances in Pure and Applied Mathematics(ICRAPAM 14), held on 6-9 th Nov.,2014 in Antalya-Turkey, Some results of Separation axioms in Mixed delta semi pre fuzzy topological spaces.
  30. Attended author workshop on “How to use online resources and develop skills to write and publish, organized by Wiley in collaboration with Central Library , Tripura University on 25th March,2015.
  31. 31. Given an invited talk at the 10th International Society for Analysis, its Applications and Computation (10th ISAAC 2015). The conference held during the period of August 3rd-8th, 2015, at the University of Macau
  32. IEEE international conference on computer , communication and control, MGI,Indore, Sept. 10-12,2015, delivered a lecture on IVIFsoftmultiset theoretic approach to decision making problems.
  33. International Conference on Applications of Mathematics in Topological Dynamics, Physical, Biological and Chemical Systems (ICAMTPBCS-2016)December 09-11, 2016 Organized by Calcutta Mathematical Society , Delivered an invited talk .
  34. International conference on Energy, Communication, Data Analysis and Soft Computing ( ICECDS-2017)- Participated and presented a paper , organized by SKR Engineering College, Poonamallee, Tamil Nadu, during 1st-2nd August, 2017.

Membership/Positions in Learned Academic Bodies/Organizations:

  1. Tripura Mathematical Society(Editor in Chief, Journal of Tripura Mathematical Society)
  2. Teachers Mathematics, Cennai, (Life Member)
  3. Fuzzy Sets and rough Sets Association(General Secretary)
  4. Indian Society For Rough Sets(Member)

Research Projects:

  1. On intuitionistic fuzzy topological space and its applications on data mining and decision making, UGC (Rs. 8.34 lacs).

Research Supervisions (Scholar's Name, Topic and Status):

Scholar NameTopicStatus
Dr. Baby Bhattacharya On induced L-fuzzy supra topological spaces and their applications. Awarded(2006)
Dr. Shyamal Debnath Study of some preservation of fuzzy aspects with the help of newly defined fuzzy functions and their applications. Awarded(2008)
Dr. Sharmistha Bhattacharya(Halder) On δ-induced fuzzy topological spaces and topologies generated δ-open sets in fuzzy setting. Awarded(2008)
Dr. Snignendhu Bikas Chakraborty Intutionistic Fuzzy Soft Set relation and fuzzy contra R-continuity & Weak form . Awarded, 2012
Dr. Rupak Sarkar Study of different new types of fuzzy continuity & preservation of fuzzy topological spaces under these functions. Awarded, 2012
Dr. Subrata Bhowmik Study of different structures in terms of ij-semi open sets in bitopological spaces and its applications . Awarded, 2012
Mr. Bishnupada Debnath Some Different Structures in fuzzy bitopological spaces with the help of fuzzy δ-open sets and their applications. Awarded(2013)
Dr. Runu Dhar On fuzzy weakly δ semi pre open sets and the corresponding functions. Awarded, 2012
Dr. Pranab Kumar Deb Study of different types of fuzzy functions and their applications Awarded, 2012
Mr. Dipankar De Some fuzzy function in fuzzy bitopological spaces and separation axioms in completely induced fuzzy topological spaces Awarded(2013)
Mrs. Jhilli Chaudhuri  Study of some weak and strong fuzzy mapping in fuzzy bitopological spaces and their applications Awarded(2014)
Mr. Abhijit Saha On intuitionistic fuzzy topological space and its applications on data mining and decision making  Awarded 2016
Mr. Mithun Datta Study of some hybrid models to solve real life problems  Awarded 2016
Mr. Ajoy Kani Das Intuitionistic Fuzzy Rough Relations and Its Generalization, Topological Structures Formed by Soft Multisets and Interval Valued Intuitionistic Fuzzy Soft Sets Awarded 2016
Mr. Sadhan Sarkar Similarity measure of generalized fuzzy soft sets and their applications   Thesis submitted
Srijita Barman Roy   Registered(2014)
Sumanta Saha   Registered(2014)
Somen Debnath  Generalization of Fuzzy Soft Matrices and Their Applications registered, 8th July, 2016
Aditi Datta Design and Analysis of optical communication systems with chaos-shift-keying, Dett. Of CSE,Tripura University   Registration 2014
Sajal Kanta Das Investigation of application of wireless motes in designing smart building, Dett. Of I.T,Tripura University Registration 2015
Tamojay Deb Studies of some applications of singular value decomposition in the area of image processing and pattern recognition, Dett. Of I.T, Tripura University Registration 2015

Scholarship/Award/Recognitions:

  • J. Tri. Math. Soc, Vol-11,2009 – Chief Editor, UGC list Journal, J.No.68974

Other Information (if any):

  • Book published “ Fuzzy Set and Fuzzy Topology’ –Narosa( with Dr. S. Bhattacharya( Halder)
  • Book published- Generalized Rough Sets: Hybrid Structure and Applications ( Springer) ISBN-10: 8132224574, ISBN-13: 978-8132224570.
  • Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing: A volume in the Advances in Computational Intelligence and Robotics (ACIR) Book Series, IGI Global (USA).
  • Chapter 9, Sequences, Nets, and Filters of Fuzzy Soft Multi Sets in Fuzzy Soft Multi Topological Spaces....... 177-195 By .Anjan Mukherjee, Tripura University, India and Ajoy Kanti Das, Iswar Chandra Vidyasagar College, India
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