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Jaypee Institute of Information Technology, Noida
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  • Prof. Alka Tripathi
Professor & Head

Education:  M.Sc., Ph.D from Banaras Hindu University

Teaching and Research Experience:25 years

Interest Areas:Categorical Fuzzy Topology, Fuzzy Automata, Rough Sets, Special Functions.

Research Guidance: Supervised 5 Ph.D. Thesis with 2 ongoing Ph.D. and 3 P.G. level Dissertation

Book Chapter

  • Priti and Alka Tripathi, Fuzzy Topology Induced by Binary Fuzzy Relation , in “Emerging Advancements in Mathematical Sciences”, Nova Publishers, USA, 2022



International Journal:

  • Kaur,R., Tripathi, A. ,“General fuzzy multiset grammar and language”, Mathematics in Engineering, Science and Aerospace, Vol. 13, No. 3, pp. 593-605, 2022. [Indexed in Scopus] 
  • Kaur,R., Tripathi, A.,” State Minimization of General Finite Fuzzy Automata”, International Journal of Mathematical, Engineering and Management Sciences, vol. 6,no.6,pp. 1709-1728, 2021. [Indexed in Scopus/ESCI]
  • Garg, H.,Agarwal, N., Tripathi, A., "Choquet Integral-Based Information Aggregation Operators under the interval-valued intuitionistic fuzzy set and its applications to Decision-Making Process", International Journal for Uncertainty Quantification, vol. 7, no. 3, pp. 249 - 269, 2017. [Indexed in Scopus/SCI, Impact Factor- 1.019].
  • Garg, H.,Agarwal, N., Tripathi, A., "Some improved interactive aggregation operators under interval-valued intuitionistic fuzzy environment and their application to decision making process", Scientia Iranica. Transaction E, Industrial Engineering, vol. 24 , no. 5, pp. 2581-2604, 2017. [Indexed in Scopus/SCI,Impact Factor – 1.025].
  • Garg, H.,Agarwal, N., Tripathi, A., "A novel generalized parametric directed divergence measure of intuitionistic fuzzy sets with its application", Annals of fuzzy Mathematics and Informatics, vol. 13, no. 6, pp. 703-727, 2017. [Indexed in Mathematical Reviews (MathSciNet, USA),  Zentralblatt MATH (zbMATH, Germany)] .
  • Ravi, K.M., Tripathi A., "Myhill-Nerode Theorem for Intuitionistic Fuzzy Regular Language", International Journal of Computer & Mathematical Sciences,vol.3, no. 2, pp.34-37, 2017.(ISSN:2347-8527). . [Indexed in Google Scholar.
  • Tyagi K., Tripathi A., “Rough Fuzzy Automata and Rough Fuzzy Grammar”, International Journal of Fuzzy System and Applications, vol. 6, no. 1, pp. 36-55, 2017.  [Indexed in Scopus] .
  • Garg, H.,Agarwal, N., Tripathi, A., “Generalized intuitionistic fuzzy entropy measure of order alpha and degree beta and its applications to multi-criteria decision making problem,  International Journal of Fuzzy System  Applications (IJFSA), vol. 6, no. 1, pp. 59-107, 2017. [Indexed in Scopus.
  • Goyal M., Yadav D., Tripathi A., "An Intuitionistic fuzzy approach to classify the user based on assessment of learner’s knowledge level in e-learning decision making”, Journal of information processing system, Vol.13, No. 1,pp. 57-67,2017. [Indexed in Scopus] .
  • Tripathi, A.,  Panwar K., "Modified CURE algorithm with enhancement to identify number of clusters",  International Journal of Artificial Intelligence and Soft Computing, vol. 5, no. 3,pp. 226-240, 2016. [Indexed in DBLP, ACM Digital Library, Asian Digital Library] .
  • Garg, H.,Agarwal, N., Tripathi, A., "Fuzzy Number Intuitionistic fuzzy soft sets and its properties", Journal of Fuzzy Set Valued Analysis, vol. 3, pp. 196-213, 2016. (ISSN 2193-4169) . [Indexed in Google Scholar] .
  • Goyal M., Tripathi A., and Yadav D., “Intuitionistic Group Decision  Making to Identify the Status of Student’s Knowledge Acquisition in E-learning Systems”, International Journal of Fuzzy System Applications, Vol. 5, Issue 3, pp. 14-29, 2016 . [Indexed in Scopus].
  • Goyal, M., Tripathi (Choubey), A., and Yadav, D., “Aggregating evaluation using dynamic weighted intuitionistic fuzzy approach for concept sequencing in an e-learning system”, Int. J. of Mathematical Modelling and Numerical Optimiszation, vol. 7, no, 1, pp. 44-65, 2016. [Indexed in Scopus] .
  • Garg, H.,Agarwal, N., Tripathi, A., "Entropy based multi-criteria decision making method under fuzzy environment and unknown attribute weights", Global Journal of Technology and Optimization, vol. 6, no.3, pp. 13-20, 2015. [Indexed in Google Scholar]
  • Tripathi A., Tyagi K., "A note on rough sets", International Journal of Mathematical sciences, Vol. 13. pp. 1-10, 2014. [Indexed in Google Scholar].
  • Ravi K. M., Choubey (Tripathi) A., Tripathi K. K., "Intuitionistic Fuzzy Automata for Approximate String Matching", International Journal of Fuzzy Information and Engineering, Vol. 6, pp. 29-39, 2014. [Indexed in Elsevier.
  • Tripathi A.,Tyagi K., “Approximate equalities using topological space”, International Journal Granular Computing, Rough Sets and Intelligent Systems, Vol. 3, pp. 272-291, 2014. . [Indexed in DBLP].
  • Choubey(Tripathi), A. and Ravi K.M. "Minimization of Determisnistic Finite Automata with Vague (Final) States and Intuitionistic Fuzzy (Final) States", Iranian Journal of Fuzzy Systems, ISSN 1735-0654, Vol. 10, No. 1, 75-88, 2013.[ Indexed in Scopus/SCI, Impact Factor- 1.09].
  • Goyal, M., Yadav, D., and Choubey(Tripathi), A., "E-learning: Current State of Art and Future",International Journal of Computer Science Issues, Vol 9, Issue 3, No. 2, pp. 490-499, May 2012. [Indexed in Google Scholar].
  • Ravi, K. M. and Choubey (Tripathi), A., "Interval-Valued Fuzzy Regular Language", J. Appl. Math. & Informatics, Vol 28, No. 3-4, pp. 639-649, May 2010. [Indexed in Google Scholar].
  • Gupta, N., Mishra, G. D. and Choubey(Tripathi), A., "Performance analysis of queuing model M/M/1/N with balking and reneging", International Journal of Pure and Applied Mathematical Sciences, Vol LXX, pp. 59-65, Sept. 2009.
  • Gupta, N., Mishra, G. D. and Choubey (Tripathi), A., “Performance analysis of an M/M/1/K queue with preemptive priority”, International Journal of Business Research, Pg. 50-56, July 2009.
  • Gupta, N., Mishra, G. D. and Choubey(Tripathi), A.,  “Performance analysis of an M/M/1/K queue with non-preemptive priority", International Journal of Mathematical Sciences and Engineering   Applications, Vol 3, No. 2, pp. 285-292, 2009.
  • Choubey (Tripathi), A. and Ravi, K. M.,”Intuitionistic Fuzzy Automata and Intuitionistic Fuzzy Regular Expressions", J. Appl. Math. & Informatics, Vol. 27, No. 1-2, pp.409-417, 2009.
  • Gupta, N., Mishra, G. D. and Choubey(Tripathi), A., "Performance analysis of an queueing model M/M/c/N with balking and reneging", International Journal of Computer, Mathematical Sciences and Applications, Vol 2, No. 4,  pp 355-339,October-December 2008.
  • Srivastava, A. K. and Choubey(Tripathi), A.,  On Certain Initial Completions in Fuzzy Topology, Journal of South Arican Mathematical Society, Vol.22,No. 2,1999,203-207.
  • Srivastava, R., Srivastava, A. K. and Choubey(Tripathi), A., “Fuzzy Closure Spaces”, The Journal of Fuzzy Mathematics, Los Angeles,Vol.2, No.3, 1994, pp.525-534.
  • Choubey (Tripathi), A.  and Srivastava, A. K., “On an Epireflective Hull in Fuzzy Topology”, The Journaof Fuzzy Mathematics, Los Angeles,Vol.2, No.1, 1994,  pp.43-46.
  • Choubey (Tripathi), A.  and Srivastava, A. K., “On a-Compact Fuzzy Topological Spaces”, The J. of Fuzzy Mathematics, Los Angeles, Vol.1, No.2, 1993,  pp.321-326.


International Conference

  • Tripathi, A., Tyagi, K., "Rough Fuzzy (final) Automata", Advancement in Mathematical Sciences and its applications, AIP Conf. Proc., vol. 2061, Issue 1, pp. 020019, 2019. [Indexed in Scopus].
  • Tripathi, A., Kaur, R., " A review of state minimization and state reduction techniques in fuzzy automata", Advancement in Mathematical Sciences and its applications, AIP Conf. Proc., vol. 2061, Issue 1, pp. 020033, 2019. [Indexed in Scopus].
  • Tripathi, A., Tyagi, K., "Approximate equalities using generalized topological spaces", Advancement in Mathematical Sciences and its applications, AIP Conf. Proc., vol. 1897, Issue 1, pp. 020034, 2017. [Indexed in Scopus].
  • Tyagi, K., Tripathi, A., "Equalities based on rough intuitionistic fuzzy topology", Advancement in Mathematical Sciences and its Applications, AIP Conf. Proc., vol. 1802, Issue 1, pp. 020033, 2017. [Indexed in Scopus].
  • Garg, H.,Agarwal, N., Tripathi, A., "Choquet integral-based intuitionistic fuzzy bonferroni mean operator", Ninth International Conference on Contemporary Computing (IC3), IEEE Xplore, Article No.7880259, 2016 . [Indexed in Scopus] .
  • Goyal, M., Yadav, D., Tripathi, A., "Fuzzy approach to detect learning style using McCarthy model as a tool for e-learning system", 4th International Symposium on Emerging Trends and Technologies in Libraries and Information Services, pp. 295-300, Article No.,7048215,2015. [Indexed in Scopus].
  • Goyal, M., Yadav, D., Tripathi, A., "Intuitionistic fuzzy approach for adaptive presentation in an E-learning environment",IEEE International Conference on Research in Computational Intelligence and Communication Networks (ICRCICN), PP . 108-113, Article No. 7434219,2015. [Indexed in Scopus].
  • Goyal, M., Yadav, D., and Choubey (Tripathi), A., "Fuzzy Logic Approach for Adaptive Test Sheet Generation in E-learning", IEEE International Conference on Technology Enhanced Education (ICTEE), ISBN: 978-1-4577-0725-4, pp1 – 4, DOI:  10.1109/ICTEE.2012.6208637, January 2012.
  • Goyal, M., Choubey(Tripathi), A., and Yadav, D., "Cognitive Models and its Current Challenges",5th International Conference on Information Systems, Technology and Management  (ICISTM-2011), Springer Series in Communications inComputer and Information science (CCIS), Vol. 141, 8, pp. 355-358, March 2011 (Indexed in  Scopus).
  • Ravi K. M., and Choubey (Tripathi), A., "Myhill-Nerode Theorem for Interval-valued Fuzzy Regular language", Proceedings of International Conference on Methods and Models in Science and Technology, ICM2ST-10, Dec. pp. 30-33 , 2010 (Indexed in Scopus).
  • Ravi K. M., and Choubey(Tripathi), A., "A Note on IFL, IVFL and Minimization of Vague (Final) State Automaton", 19th International Conference of FIM on Interdisciplinary Mathematical and Statistical Techniques, pp.68, Dec. 2010
  • Ravi K. M., and Choubey (Tripathi), A., “Intuitionistic Fuzzy Regular Language”, Proceedings of International Conference on Modeling and Simulation, CITICOMS, ISBN. No. 81-8424-218-2, pp. 659-664, 2007.
  • Srivastava, A. K. and Choubey(Tripathi), A.,  “On To- Objects in some Categories in Fuzzy Topology”, Proceedings of the 16th Linz Seminar on Fuzzy Set Theory – Topology and Related Topics, Austria, Sept. 14-18, 1994, pp.31-32.


National Journal

  • Tripathi, A., Tyagi, K. "Generalization of Rough Topology", Indian Journal of Science and Technology, vol. 9(20), pp. 1-10 , 2016. [Indexed in Scopus] .
  • Goyal, M., Yadav, D., and  Tripathi, A., “Intuitionistic fuzzy genetic weighted averaging operator and its application for  multiple attribute decision making in E-learning”, Indian Journal of Science and Technology, Vol. 9, Issue 1, pp. 1-15, 2016.  [Indexed in Scopus].
  • Choubey (Tripathi), A. and Ravi, K. M., "Vague Regular Language",  Advances in Fuzzy Mathematics(Research India Publications), ISSN No 0973-533X, Vol. 40, No. 2, pp.147-165, 2009.


Professional Projects / Professional Achievements

  • Life member of Indian Mathematical Society (IMS), India
  • Reviewer of various International / National Journals of repute.
  • Member of Editorial Board  of ISST Journal of Mathematics & Computing System [IJMCS]
  • Member of International Association of Engineers (IAENG) (Membership No.  288362)
  • Member of Board of Studies at Jaypee University, Anoopshaher, India
  • Member of Academic Council at Jaypee University, Anoopshaher, India

 “Seismic Scattering Modelling in Anisotropic Layered Media (SEISMAL)”, PI: Dr. Pato Kumari, Co-PI: Prof. Alka Tripathi, Armament Research Board, DRDO, Delhi-India, Contribution: Rs. 20,9733.