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Dr. Ismat Beg Dr. Ismat Beg

Dr. Ismat Beg is Professor of Mathematics at Lahore School of Economics. He is also a HEC Distinguished National Professor and Honorary Full Professor, Institute for Basic Research, Florida, (USA). He has PhD in Mathematics from University of Bucharest with specialization in functional analysis and operator theory. Dr. Beg is an internationally acknowledged scholar, researcher and teacher in the field of mathematical sciences. He has served as Professor in various prestigious Universities/Institutes nationally and internationally. Dr. Beg is a Fellow of Pakistan Academy of Sciences. His research work (270 published research papers and three books) has great diversity and is well cited by other researchers. His present research interests are in preference modeling and multi-criteria decision making, fixed point theory, best approximations and fuzzy relations/multi-valued functions. He has supervised twelve M. Phil. dissertations, seven Ph.D. theses and ten post-doctoral researchers. He was awarded Pakistan Academy of Sciences Gold Medal in 2008. He was also awarded first prize in mathematics for research by National Book Council of Pakistan, Government of Pakistan in 1986. He has completed as principal investigator eleven research projects. He is an elected fellow of the Institute of Mathematics and its Applications (UK), a Chartered Mathematician and a Chartered Scientist. The access to his research articles is provided by: &

Professor Beg roles as teacher and mentor are also exceptional, and are felt well beyond national boundaries. He has promoted the cause of mathematics in general and of functional analysis in particular by organizing series of symposia and conferences both national and regional. He is also member of board of studies of several universities. He is member of Editorial Board of twelve international journals. He is also a reviewer of Zentralblatt Fur Mathematik (Germany), Mathematical Review (USA) and The Natural Sciences and Engineering Research Council of Canada. Dr. Beg is a member of European Mathematical Society, American Mathematical Society, London Mathematical Society, International Federation of Nonlinear Analysts, International Rough Set Society, Society for Mathematics of Uncertainty, All Pakistan Mathematical Association and Punjab Mathematical Society.

Dr. Beg’s recent publications include:

• Soft pedal and influence based decision modeling, Int. J. Fuzzy Systems, (2019) in press.
• Human attitude analysis based on fuzzy soft differential equations with Bonferroni mean, Computational and Applied Math., 37(3)(2018), 2632-2647.
• α-type fuzzy H-contractive mappings in fuzzy metric spaces, Fixed Point Theory, 19(2)(2018), 463-474.
• Fixed points on ordered metric spaces with application in homotopy theory, J. Fixed Point Theory and Applications, 20(2018), Article ID 21.
• Hesitant probabilistic fuzzy linguistic sets with applications in multi-criteria group decision making problems, Mathematics 6(4)(2018), Article ID 47
• A fuzzy similarity measure based on equivalence relation with application in cluster analysis, Int. J. Computers and Applications, 39(3)(2017), 148-154.
• Incomplete hesitant fuzzy preference relations in group decision making, Int. J. Fuzzy Systems, 19(3)(2017), 637-645.
• Modelling uncertainties in multi-criteria decision making using distance measure and TOPSIS for hesitant fuzzy sets, J. Artificial Intelligence and Soft Computing Research, 7(2)(2017), 103-109.
• Aggregation methods for fuzzy judgments, Fuzzy Economic Review, 21(1) (2016), 3
• Coincidence point of isotone mappings in partially ordered metric spaces, Rendiconti del Circolo Matematico di Palermo, 65(2) (2016), 273–282.
• Triangular dense fuzzy sets and new defuzzification methods, J. Intelligent and Fuzzy Systems, 31(1) (2016), 469–477.
• An intuitionistic 2-tuple linguistic information model and aggregation operators, Int. J. Intelligent Systems, 31(2016), 569–592.
• I. Beg and T. Rashid: Intuitionistic fuzzy similarity measure: Theory and applications, J. Intelligent and Fuzzy Systems, 30(2016), 821–829.
• Incomplete interval valued fuzzy preference relations, Information Sciences, 348(2016), 15–24.
• Hesitant 2-tuple linguistic information in multiple attributes group decision making, J. Intelligent and Fuzzy Systems, 30(2016), 109–116.
• Fuzzy distance measure and fuzzy clustering algorithm, J. Interdisciplinary Math., 18(5)(2015), 471–492.
• Fixed points of Suzuki type multifunctions on metric spaces, Rendiconti del Circolo Matematico di Palermo, 64(2) (2015), 203–207.
• Fixed point on a closed ball in ordered dislocated quasi metric spaces, Fixed Point Theory, 16(2)(2015), 195–206.
• A hybrid technique for order preference in decision making, Mathematical Problems in Engineering, 2015 (2015) Article ID 987972 (8 pages).
• Fuzzy relational calculus, Bulletin of the Malaysian Mathematical Sciences Society (2) 37(1) (2014), 203-237.
• Fixed points of Edelstein-type multivalued maps, Rendiconti del Circolo Matematico di Palermo, 63(3) (2014), 399–407.
• An improved clustering algorithm using fuzzy relation for the performance evaluation of humanistic systems, Int. J. Intelligent Systems, 29(12) (2014), 1181–1199.
• Robot selection by using generalized interval valued fuzzy numbers with TOPSIS, Applied Soft Computing, 21(2014), 462–468.
• Multi-criteria trapezoidal valued intuitionistic fuzzy decision making with Choquet integral based TOPSIS, OPSEARCH, 51(1) (2014), 98–129.
• (φ,ψ)-Weak contractions in intuitionistic fuzzy metric spaces, J. Intelligent and Fuzzy Systems, 26(5)(2014), 2497–2504.
• Aggregation operators of interval-valued 2-tuple linguistic information, Int. J. Intelligent Systems, 29 (2014), 634–667.
• Fuzzy wavelets, J. Fuzzy Math., 21(3) (2013), 623-638.
• A democratic preference aggregation model, J. Uncertainty Anal. and Appl., 1:5 (2013) 11 pages
• Fixed points of set valued graph contractions, J. Inequalities and Appl., 2013(2013):252, 7 pages.
• Fixed point of a pair of contractive dominated mappings on a closed ball in an ordered dislocated metric space, Fixed Point Theory and Appl., 2013 (2013):115, 15 pages.
• Common fuzzy fixed points for fuzzy mappings, Fixed Point Theory and Appl., 2013(2013):14, 11 pages.
• Fixed point in CAT(0) spaces, Functiones et Approximatio, 48(1) (2013) , 51-59.
• A generalized model of judgment and preference aggregation, Fuzzy Economic Review, XVIII(1) (2013), 9-27.
• TOPSIS for hesitant fuzzy linguistic term sets, Int. J. Intelligent Systems, 28 (2013), 1162–1171.


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