Ph.D. Thesis:
I have submitted and defended my Ph.D thesis titled The * - composition - A Novel Generating Method of Fuzzy Implications: An Algebraic Study at the department of Mathematics, Indian Institute of Technology Hyderabad in 2014.
Journal Publications:
N. R. Vemuri and B. Jayaram.: Representations through a monoid on the set of fuzzy implications. Fuzzy Sets and Systems 247 (2014) 51-67.
N. R. Vemuri and B. Jayaram.: The *-composition of fuzzy implications: Closures with respect to Properties, Powers and Families. Fuzzy Sets and Systems 275 (2015) 58-87.
N. R. Vemuri and B. Jayaram.: Homomorphisms on the monoid of fuzzy implications and the iterative functional equation I (x, I (x, y)) = I (x, y). Information Sciences 298 (2015) 1-21.
N. R. Vemuri.: Mutual exchangeability of fuzzy implications. Information Sciences 317 (2015) 1-24
N. R. Vemuri and B. Jayaram.: Bijective transformations of fuzzy implications - An algebraic perspective. Fuzzy Sets and Systems 291 (2016) 3-17.
N. R. Vemuri and B. Jayaram.: Lattice operations on fuzzy implications and the preservation of the exchange principle. Fuzzy Sets and Systems 247 (2014) 51-67.
N. R. Vemuri.: Investigations of fuzzy implications satisfying generalized hypothetical syllogism. Fuzzy Sets and Systems 323(2017) 117-137.
Conference Publications:
N. R. Vemuri and B. Jayaram.: Fuzzy implications: Novel generating process and the consequent algebras. In proceedings of 13th International Conference of Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012.
N. R. Vemuri and B. Jayaram.: Homomorphisms on the monoid (I, *) of fuzzy implications. In proceedings of 2013 International Conference on Fuzzy Systems, Fuzz-IEEE 2013, Hyderabad, India, July 7-10, 2013.
N. R. Vemuri and B. Jayaram.: Homomorphisms on the monoid of fuzzy implications (I, *) – A complete characterization. In proceedings of 5th International Conference on Pattern Recognition and Machine Intelligence, PReMI 2013, Kolkata, India, December 10 -14, 2013.
N. R. Vemuri, A. Sai Hareesh and S. Srinath.: Set difference and symmetric difference of fuzzy Sets(2014). In proceedings of 12th International Conference on Fuzzy Set Theory and Applications, FSTA 2014, Liptovsky Jan, Slovak Republic, January 26 - 31, 2014(Abstract).
N. R. Vemuri and B. Jayaram.: Conjugacy relation via the group action on the monoid of fuzzy implications(2014). In proceedings of 12th International Conference on Fuzzy Set Theory and Applications, FSTA 2014, Liptovsky Jan, Slovak Republic, January 26 - 31, 2014(Abstract).
N. R. Vemuri and B. Jayaram.: Preservation of the exchange principle under lattice operations on fuzzy implications. In proceedings of 8th International Summer School on Aggregation Operators, AGOP 2015, Katowice, Poland, July 7 - 10, 2015.
N. R. Vemuri.: Fuzzy implications satisfying the generalized hypothetical syllogism. In proceedings of 36th Linz Seminar on Fuzzy Sets Functional Equations and Inequalities, Linz, Austria, February 2-6, 2016.
N.R. Vemuri.: Some fuzzy implications satisfying I(I(y,x), I(x,y))=I(x,y). In proceedings of 28th International Conference(Virtual) of Forum for Interdisciplinary Mathematics: Synergies in Computational, Mathematical, Statistical and Physical Sciences held from 23 to 27 November 2020, India.