Ismat Beg, FPAS, FIMA, (Urdu: عصمت بیگ; born January 1951) is a Pakistani mathematician and researcher. Beg is a professor at Lahore School of Economics,[2] Higher Education Commission Distinguished National Professor[3] and an honorary full professor at the Mathematics Division at the Ruggero Santilli Institute for Basic Research, Florida, US. He has an enthusiastic and interactive teaching style and is famous for saying “please come on the board” when posed with a question in class. This helps uplift the students’ confidence.
Ismat Beg | |
---|---|
Born | |
Nationality | Pakistani |
Citizenship | Pakistan |
Alma mater | University of Bucharest Government College University (Lahore) |
Known for | His work on the Fixed point (mathematics), Fuzzy set, Order theory, Multiple-criteria decision analysis, TOPSIS . |
Awards | Pakistan Academy of Sciences Gold Medal in 2008[1] |
Scientific career | |
Fields | Mathematics |
Institutions | Lahore School of Economics Lahore University of Management Sciences Kuwait University Quaid-i-Azam University International Centre for Theoretical Physics Pakistan Navy Engineering College Nankai University University of Central Punjab |
Doctoral advisor | Romulus Cristescu |
Beg's scientific contributions cover a wide range of topics spanning fixed point theory and approximations, order structure, fuzzy sets and systems, artificial intelligence and multicriteria decision theory.[4][5]
Early life and education
editThis section of a biography of a living person needs additional citations for verification. (April 2019) |
Ismat Beg was born in the small hilly village of Mohri Sharif, west of Kharian in 1951 to an immigrant Kashmiri family. He got his primary schooling in a village school "sitting under the trees". In 1961 his father took him to Risalpur and he was sent to Sapper Boys High School, Risalpur Cantt. After completing his matriculation 1966, he joined Zamindar College, Bhimber Road, Gujrat (now Government Zamindar College, Gujrat) for his Higher Secondary School Certificate and undergraduate degree. He obtained his master's from Government College, Lahore [6](now Government College University).[4]
In 1977, Beg travelled to Romania on a scholarship and attended the West University of Timișoara for Romanian language and pre-doctoral courses and passed the PhD entrance exam for the University of Bucharest. He started his PhD in fall of 1978 under the supervision of academician and famous mathematician Romulus Cristescu.[7] His area of research is ordered vector spaces and linear operators with specialization in integral representation of linear operators. He defended his thesis in December 1981 and the degree was awarded in 1982.[8][9]
Academic career
editIsmat Beg started teaching just after his PhD in 1982 and has taught at[1][2][10]
- Lahore School of Economics
- Lahore University of Management Sciences
- Kuwait University
- Quaid-i-Azam University
- International Centre for Theoretical Physics
- Pakistan Navy Engineering College, National University of Sciences and Technology
- Nankai University
- University of Central Punjab
He has published research papers in the fields of mathematics, computer science, economics, game theory, engineering, decision theory and social sciences that have been well cited by other researchers.[11][12] He has contributed to the fields of fixed point theory, fuzzy set theory, order structures, preference modeling and multi-criteria multi-agent decision making.[11][13] Beg has supervised 12 M.Phil. theses, 7 Ph.D. dissertations, and 10 post doctoral researchers.[7] He is member of the editorial boards of
- Proceeding Pakistan Academy of Sciences[14]
- Journal Function Spaces[15]
- Topological Algebra and its Applications[16]
- Punjab University Journal of Mathematics[17]
- Military Technical Courier (journal)[18]
Awards and honours
edit- Distinguished National Professor, Higher Education Commission (Pakistan)[3]
- Prize, National Book Council of Pakistan, 1986
- Gold Medal, Pakistan Academy of Sciences 2008[1]
- Visiting Mathematician / Associate Group Member / Senior Mathematician / Senior Guest Scientist, International Centre for Theoretical Physics Trieste, Italy, 1990–2010
- Academic Roll of Honor from Government College University (Lahore) 1972
Fellowships and memberships
edit- Fellow of the Pakistan Academy of Sciences[1][2]
- Fellow of the Institute of Mathematics and its Applications[1][2]
- Fellow International Artificial Intelligent Industry Alliance
- Fellow The International Core Academy of Sciences and Humanities
- Senior Member London Mathematical Society[1][2]
- Member, American Mathematical Society[1]
- Member European Mathematical Society[1]
- Chartered Mathematician[1]
- Member, European Society for Fuzzy Logic and Technology working group "Intuitionistic Fuzzy Sets: Theory, Applications and Related Topics"
- Life member All Pakistan Mathematical Association[19]
Key publications
edit- 1992. "Fixed points of asymptotically regular multivalued mappings", J. Austral. Math. Soc., (Series-A) 53(3), 313-326.
- 1995. "Random extension theorems", J. Math. Anal. Appl., 196(1), 43-52.
- 2000. "Fuzzy closed graph fuzzy multi-functions", Fuzzy Sets & Systems, 115(3), 451 – 454.
- 2002 "Approximation of random fixed points in normed spaces", Nonlinear Anal.: Theory, Methods & Appl., 51(8), 1363-1372.
- 2006. "Iterative procedures for solution of random operator equations in Banach spaces", J. Math. Anal. Appl., 315(1), 181-201.
- 2009. "Similarity measures for fuzzy sets", Applied & Comp. Math., 8, 192-202
- 2009. "Fixed point for set valued mappings satisfying an implicit relation in partially ordered metric spaces", Nonlinear Anal.: Theory, Methods & Appl., 71(9), 3699-3704
- 2011. "Numerical representation of product transitive complete fuzzy orderings", Math. & Computer Modelling, 153, 617-623.
- 2013. "TOPSIS for hesitant fuzzy linguistic term sets", Int. J. Intelligent Systems, 28, 1162–1171.
- 2016. "Incomplete interval valued fuzzy preference relations", Information Sciences, 348, 15–24.
- 2018. "Human attitude analysis based on fuzzy soft differential equations with Bonferroni mean", Computational & Applied Math., 37(3), 2632-2647.
- 2021. "Fixed point of multivalued contractions by altering distances with application to nonconvex Hammerstein type integral inclusions", Fixed Point Theory, 22(1), 327 – 342.
- 2023. "Dissilient interpersonal influences in social network analysis", Fuzzy Sets Systems, 46(7), Article 108499
- 2024. "A new method to solve matrix game with interval payoffs and its MATLAB Code", International Game Theory Review, 26(3)(2024), Article 2450001
See also
editReferences
edit- ^ a b c d e f g h i "Fellow Profile". Pakistan Academy of Sciences. Retrieved 22 June 2018.
- ^ a b c d e f "Dr ismat Beg". Lahore School of Economics. Retrieved 22 June 2018.
- ^ a b "Dr. Ismat Beg, Fellow of PAS Honored by HEC" (PDF). paspk.org. July 2017. p. 3. Retrieved 11 April 2023.
- ^ a b c "Ismat BEG | Professor | PhD | Lahore School of Economics, Lahore | Mathematics and Statistics | Research profile". Retrieved 11 April 2023.
- ^ "Ismat Beg's Publons profile".
- ^ "Ismat Beg". Government College, Lahore. Archived from the original on 16 January 2021. Retrieved 13 January 2021.
- ^ a b "Ismat Beg". The Mathematics Genealogy Project. Retrieved 22 June 2018.
- ^ "Romulus Cristescu". The Mathematics Genealogy Project.
- ^ "Ismat Beg | Pride of Pakistan | Commemorations | PrideOfPakistan.com". prideofpakistan.com. Pride.
- ^ "Centre For Mathematics & Statistical Sciences". Lahore School of Economics.
- ^ a b "Ismat A Beg C-3015-2008". ResearcherID. Clarivate Analytics. Retrieved 28 July 2018.
- ^ "Scopus preview – Scopus – Author details (Beg, Ismat)". Scopus. Elsevier. Retrieved 28 July 2018.
- ^ "Ismat Beg". Google Scholar Citations. Retrieved 22 June 2018.
- ^ "A. Physical and Computational Sciences" (PDF). Pakistan Academy of Sciences. Retrieved 7 February 2020.
- ^ "Journal of Function Spaces – An Open Access Journal". Hindawi.
- ^ "Topological Algebra and its Applications". De Gruyter.
- ^ "Punjab University Journal of Mathematics - Editorial Board". pu.edu.pk. Retrieved 11 April 2023.
- ^ "Military Technical Courier | Editorial board".
- ^ "Life members". 5 January 2009. Archived from the original on 5 January 2009.