Ismat Beg

Ismat Beg was born in Mohri Sharif, in 1951 to a migrated Kashmiri family. He got his primary schooling in village school sitting under trees. In 1961 his father took him to Risalpur and he was sent to Sapper Boys High School, Risalpur Cantt. After passing Secondary School Certificate in 1966 he joined Zamindar College, Bhimber Road, Gujrat for Higher Secondary School Certificate and Bachelor of Science. He did his master's degree at Government College, Lahore [7](now Government College University (Lahore)).[5]

In 1977, Beg travelled to Romania on a scholarship which he applied and qualified. In 1977–78, Beg 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 Romulus Cristescu.[8] 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 degree was awarded in 1982.[9] [10]

Ismat Beg started teaching just after his PhD in 1982 and has served[1][2][11] in

• 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, Pakistan
• 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.[12][13] He has contributed to the fields of fixed point theory, fuzzy set theory, order structures, preference modeling and multi-criteria multi-agent decision making.[12][14] Beg has supervised 12 M.Phil. theses, 7 Ph.D. dissertations, and 10 post doctoral researchers.[8] He is member of the editorial boards of

• Proceeding Pakistan Academy of Sciences[15]
• Journal Function Spaces[16]
• Topological Algebra and its Applications[17]
• Punjab University Journal of Mathematics[18]
• Military Technical Courier (journal)[19]

• Distinguished National Professor, Higher Education Commission of 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

• Fellow of the Pakistan Academy of Sciences[1][2]
• Fellow of the Institute of Mathematics and its Applications[1] [2]
• 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[20]

• 1992. "Fixed points of asymptotically regular multivalued mappings", J. Austral. Math. Soc., (Series-A) 53(3) (1992), 313-326.
• 1995. "Random extension theorems", J. Math. Anal. Appl., 196(1), (1995), 43-52.
• 2000. "Fuzzy closed graph fuzzy multi-functions", Fuzzy Sets & Systems, 115(3) (2000), 451 – 454.
• 2002 "Approximation of random fixed points in normed spaces", Nonlinear Analysis: Theory, Methods & Applications, 51(8) (2002), 1363-1372.
• 2006. "Iterative procedures for solution of random operator equations in Banach spaces", J. Math. Anal. Appl., 315(1) (2006), 181-201.
• 2009. "Similarity measures for fuzzy sets", Applied and Comp. Math., 8(2009), 192-202
• 2009. "Fixed point for set valued mappings satisfying an implicit relation in partially ordered metric spaces",Nonlinear Analysis:Theory,Methods & Applications,71(9)(2009), 3699-3704
• 2011. "Numerical representation of product transitive complete fuzzy orderings", Math. & Computer Modelling, 153(2011), 617-623.
• 2013. "TOPSIS for hesitant fuzzy linguistic term sets", Int. J. Intelligent Systems, 28 (2013), 1162–1171.
• 2016. "Incomplete interval valued fuzzy preference relations", Information Sciences, 348(2016), 15–24.
• 2018. "Human attitude analysis based on fuzzy soft differential equations with Bonferroni mean", Computational and Applied Math., 37(3)(2018), 2632-2647.

For complete list of publications see.[2][5]

• Leonid Kantorovich
• Lotfi A. Zadeh
• Stefan Banach
• Alfred Tarski
• Ghalib

• IDEAS/RePEc