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Linear Groups, Triangle Groups, Quadratic Fields, Graphs of Group Actions, Generalized Algebraic Structures and Fuzzy Algebra, Soft Set Theory and Rough Set Theory and Applications in Algebraic Structures |
1. Groups Generated by Two Elements of Orders 2 and 4 Acting on Real Quadratic Fields, Acta Mathematica Sinica, New Series, 1993, Vol.9, No.1, 48-54 (co-author Q. Mushtaq).
2. Transitive Action of a Two Generator Group on Rational Projective Line, Southeast Asian Bulletin of Mathematics (1997) 1: 203-207 (co-author Q. Mushtaq).
3. Group Generated by Two Elements of Orders 2 and 6 Acting on and , Discrete Mathematics 179 (1998) 145-154 (co-author Q. Mushtaq).
4. The Quotients of , European Journal of Combinatorics, 22, 7(2001), 905-909 (co-authors Q. Mushtaq, M. Ashiq and Tariq Maqsood).
5. The Coxeter Group , Communications in Algebra, 30(5), 2175-2182 (2002), (co-authors Q. Mushtaq, M. Ashiq and Tariq Maqsood).
6. Intransitive Action of on , Punjab University Journal of Mathematics xxxv (2002), 1-6. (National journal)
7. Real Quadratic Irrational Numbers and the Group , (2003) 27: 409-415, (co-authors Q. Mushtaq, M. Ashiq and Tariq Maqsood).
8. Homomorphic Image of Triangle Groupas Subgroup of Algebras, Groups and Geometries 20. 4 (2003) 485-500, (co-authors Q. Mushtaq, M. Ashiq and Tariq Maqsood).
9. Closed Paths in the Coset Diagrams for Acting on Real Quadratic Fields, Ars Combinatoria 71 (2004), pp. 267-288, (co-author Q. Mushtaq).
10. Detection of Ambiguous Numbers in the Action of the Group on , FJMS. 16, 3 (2005), pp. 369-378, (co-author Q.Mushtaq)
11. Action of the Linear Fractional Group on Advances in Algebra and Analysis 1, 3 (2006) 159-163 (co-author Q.Mushtaq)
12. Action of the Group on Southeast Asian Bulletin of Mathematics (2007) 31: 1049-1056 (co-author Q.Mushtaq)
13. (Ф, ψ)-Intuitionistic Fuzzy Ideals in semigroups Italian Journal of Pure and Applied Mathematics (Accepted) (co-author S. Abdullah)
14. Direct Product of Intuitionistic Fuzzy Set in LA-semigroup, Italian Journal of Pure and Applied Mathematics (Accepted) (co-author S. Abdullah)
15. A note on M-hypersystems and N-hypersystems in γ-semihypergroups, Quasigroups and Related Systems, Vol. 19(2011) 100-104. (co-authors S. Abdullah and T. Anwar)
16. Parametrization of actions of Quasigroups and Related Systems, 19(2011) 110-119. (co-author Q.Mushtaq)
17. Direct Product of Intuitionistic Fuzzy Set in LA-semigroups-II Annals of Fuzzy Mathematics and Informatics (AFMI)) (Accepted) (co-authors S. Abdullah, M. Imran and M. Ibrar)
18. Characterization of γ-LA-semigroups by Generalized Fuzzy γ-Ideals, International Journal of Mathematics and Statistics (IJMS) Vol. 11(1) 2012 (co-authors S. Abdullah and N. Amin)
19. Roughness in Left Almost semigroups Journal of Advanced Research in Pure Mathematics (JARPM) (Accepted) (co-authors M. Shabir and N. Yaqoob)
20. Pawlak’s Rough Approximations in Gamma-AG-Groupoids Journal of Advanced Research in Pure Mathematics (JARPM) (Accepted) (co-authors M. Shabir and N. Yaqoob)
21. Some Studies in Soft LA-semigroups Journal of Advanced Research in Pure Mathematics (JARPM) (Accepted) (co-authors M. Shabir and A. Mehmood)
22. Generalized anti fuzzy bi-ideals in LA-semigroups Annals of Fuzzy Mathematics and Informatics (AFMI)) (Accepted) (co-authors M. Gulistan and S. Abdullah)
23. On rough (m,n)-bi-ideals and generalized rough (m,n)-bi-ideals in semigroups Annals of Fuzzy Mathematics and Informatics (AFMI)) (Accepted) (co-authors M. Shabir, N. Yaqoob and A. Shabir)
24. (α, β)-intuitionistic fuzzy ideals of hemirings, Computer and Mathematics with Applications, 62 (2011) 3077-3090, (co-authors S. Abdullah and B. Davvaz).
25. (α, β)- fuzzy ideals of semihyperrings, World Applied Sciences Journal, (Accepted) (Co-authors A. Ahmad and S. Abdullah).
26. On interval valued -fuzzy k-ideals in hemirings, Neural Computing and Applications, (Accepted) (Co-author T. Mehmood).
27. Direct Product of Finite Fuzzy subsets of LA-semigroups. Annals of Fuzzy Mathematics and Informatics, (Accepted) (Co-authors S. Abdullah and N. Amin)
28. Semigroups characterized by the properties of their fuzzy ideals with threshold World Applied Sciences Journal, 14, 12, (2011), 1851-1865. (Co-authors M. Shabir and Y. Nawaz).
29. Yao’s generalized rough approximations in left almost semigroups Annals of Fuzzy Mathematics and Informatics, 3, 1, (2012), 119-131. (Co-author N. Yaqoob).
30. On homomorphic images of. World Applied Sciences Journal (Accepted) (Co-author, F. Amber)
K. SUBMITTED FOR PUBLICATION
1. Rough M-hypersystems and Fuzzy M-hypersystems in γ-semihypergroups. (Submitted) co-authors (S. Abdullah, B. Davvaz and N. Yaqoob)
2. Characterization of regular LA-semigroup by anti fuzzy ideals (Submitted) co-authors (S. Abdullah and M. Gulistan)
3. Generalized Intuitionistic Fuzzy Interior ideals in semigroups. (Submitted) co-author (S. Abdullah)
4. Direct Product of Intuitionistic Fuzzy H-ideal in BCK-Algebras (Submitted) co-authors (S. Abdullah, B. Satyanarayana)
5. Intuitionistic Fuzzy γ-Ideals of γ-LA-semigroups (Submitted) co-author (S. Abdullah)
6. Generalized Anti Fuzzy interior ideals in LA-semigroups (Submitted) co-authors (M. Gulistan and S. Abdullah)
7. Interval Valued Intuitionistic fuzzy γ-hyperideals of γ-semihypergroups (Submitted) co-authors (S. Abdullah and K. Hila).
8. Generalized intuitionistic fuzzy ideals of semirings co-author (S. Abdullah). 10.
H. CONFERENCES / WORKSHOPS ATTENDED
1. All Pakistan Mathematical Conference held at Mathematics Department, Quaid-i- Azam University, Islamabad, 1-4 October 1985.
2. Workshop on Algebra held at Mathematics Department, Quaid-i-Azam University, Islamabad, July 1987.
3. Third Albert Einstein Seminar held at Mathematics Department, Quaid-i-Azam University, Islamabad, 25-27 February 1989.
4 Applications of Group Theory, Mathematics Department, Quaid-i- Azam University, Islamabad, 26-27 April 2000.
5. 1st Pure Mathematics Conference 2000, Best Western Hotel Islamabad, 8th August 2000.
6. Invited Speaker in All Pakistan Mathematical Conference 2000, Jamshoro, 20-22 November 2000.
7. Invited Speaker in 2nd Pure Mathematics Conference 2001, Best Western Hotel Islamabad, 8-9 August 2001, organized by Pakistan Mathematical Society, Pakistan Science Foundation and Department of Mathematics, Quaid-i-Azam University, Islamabad. 8. Workshop on Computational Mathematics and Related Topics, Holiday Inn Islamabad, 29-30 July 2002, organized by COMSATS Institute of Information Technology Islamabad.
9. Invited Speaker in 3rd Pure Mathematics Conference 2002, Allama Iqbal Open University, Islamabad, 9-10 August 2002, organized by Pakistan Mathematical Society, Pakistan Science Foundation, First Women Bank and Allama Iqbal Open University, Islamabad.
10. Workshop on Applications of Symmetry Methods, Department of Mathematics, Quaid-i-Azam University, Islamabad, 15-17 October 2002, organized by National Centre of Physics and Quaid-i-Azam University, Islamabad.
11. Introductory Workshop on Mathematical Modeling and its Application to Development Issues, COMSATS Headquarter Islamabad, 29th October 2002 to 2nd November 2002.
12. Invited Speaker in 4th International Pure Mathematics Conference 2003, Best Western Hotel, Islamabad, 1-3 September 2003, organized by Quaid-i-Azam University, Islamabad, Pakistan Mathematical Society, Pakistan Science Foundation, COMSATS.
13. Invited Speaker in 5th International Pure Mathematics Conference 2004, Best Western Hotel, Islamabad, 20-22 August 2004, organized by Quaid-i-Azam University, Islamabad, Pakistan Mathematical Society, Pakistan Science Foundation.
14. Invited Speaker in 6th International Pure Mathematics Conference 2006, Margala Hotel, Islamabad, 5-7 August 2006, organized by, Pakistan Mathematical Society, Pakistan Science Foundation and HEC.
15. On bi-γ-hyperideals of γ-semihypergroups, 6th Symposium on Computational Complexities, Innovation and Solutions, 09-10 May, 2011, COMSATS Institute of Information Technology, Abbottabad, KPK, Pakistan.
I. SEMINAR DELIVERED
1. Group generated by two elements of orders two and four acting on real quadratic fields, Mathematics Department, Quaid-i-Azam University Islamabad, 1989.
2. On groups, Mathematics Department, Quaid-i-Azam University Islamabad, 2000.
3. Action of the group on the real quadratic fields , Mathematics Department, Quaid-i-Azam University Islamabad, 2001.
4. Action of the group on the real quadratic fields , 2nd Pure Mathematics Conference 2001, Best Western Hotel Islamabad, 8-9 August 2001.
4. Action of a two generated group on imaginary quadratic fields, Mathematics Department, Quaid-i-Azam University Islamabad, 2001.
5. Action of the Modular group on , 3rd Pure Mathematics Conference 2002, Allama Iqbal Open University, Islamabad, 9-10 August 2002.
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