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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 twelve research projects. He is an elected fellow of the Institute of Mathematics and its Applications (UK), a Chartered Mathematician and a Chartered Scientist. Dr. Beg is a senior member of London Mathematical Society. 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, 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:

• TOPSIS for hesitant fuzzy linguistic term sets, Int. J. Intelligent Systems, 28 (2013), 1162–1171.
• A generalized model of judgment and preference aggregation, Fuzzy Economic Review, XVIII(1) (2013), 9-27.
• Fixed point in CAT(0) spaces, Functiones et Approximatio, 48(1) (2013) , 51-59.
• Common fuzzy fixed points for fuzzy mappings, Fixed Point Theory and Appl., 2013(2013):14, 11 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.
• Fixed points of set valued graph contractions, J. Inequalities and Appl., 2013(2013):252, 7 pages.
• A democratic preference aggregation model, J. Uncertainty Anal. and Appl., 1:5 (2013) 11 pages
• Fuzzy wavelets, J. Fuzzy Math., 21(3) (2013), 623-638.
• Aggregation operators of interval-valued 2-tuple linguistic information, Int. J. Intelligent Systems, 29 (2014), 634–667.
• (φ,ψ)-Weak contractions in intuitionistic fuzzy metric spaces, J. Intelligent and Fuzzy Systems, 26(5)(2014), 2497–2504.
• Multi-criteria trapezoidal valued intuitionistic fuzzy decision making with Choquet integral based TOPSIS, OPSEARCH, 51(1) (2014), 98–129.
• Robot selection by using generalized interval valued fuzzy numbers with TOPSIS, Applied Soft Computing, 21(2014), 462–468.
• An improved clustering algorithm using fuzzy relation for the performance evaluation of humanistic systems, Int. J. Intelligent Systems, 29(12) (2014), 1181–1199.
• Fixed points of Edelstein-type multivalued maps, Rendiconti del Circolo Matematico di Palermo, 63(3) (2014), 399–407.
• Fuzzy relational calculus, Bulletin of the Malaysian Mathematical Sciences Society (2) 37(1) (2014), 203-237.
• A hybrid technique for order preference in decision making, Mathematical Problems in Engineering, 2015 (2015) Article ID 987972 (8 pages).
• Fixed point on a closed ball in ordered dislocated quasi metric spaces, Fixed Point Theory, 16(2)(2015), 195–206.
• Fixed points of Suzuki type multifunctions on metric spaces, Rendiconti del Circolo Matematico di Palermo, 64(2) (2015), 203–207.
• Fuzzy distance measure and fuzzy clustering algorithm, J. Interdisciplinary Math., 18(5)(2015), 471–492.
• Hesitant 2-tuple linguistic information in multiple attributes group decision making, J. Intelligent and Fuzzy Systems, 30(2016), 109–116.
• Incomplete interval valued fuzzy preference relations, Information Sciences, 348(2016), 15–24.
• I. Beg and T. Rashid: Intuitionistic fuzzy similarity measure: Theory and applications, J. Intelligent and Fuzzy Systems, 30(2016), 821–829.
• An intuitionistic 2-tuple linguistic information model and aggregation operators, Int. J. Intelligent Systems, 31(2016), 569–592.
• Triangular dense fuzzy sets and new defuzzification methods, J. Intelligent and Fuzzy Systems, 31(1) (2016), 469–477.
 • Coincidence point of isotone mappings in partially ordered metric spaces, Rendiconti del Circolo Matematico di Palermo, 65(2) (2016), 273–282.
• Aggregation methods for fuzzy judgments, Fuzzy Economic Review, 21(1) (2016), 3
• 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.
• Incomplete hesitant fuzzy preference relations in group decision making, Int. J. Fuzzy Systems, 19(3)(2017), 637-645.
• A fuzzy similarity measure based on equivalence relation with application in cluster analysis, Int. J. Computers and Applications, 39(3)(2017), 148-154.
• Hesitant probabilistic fuzzy linguistic sets with applications in multi-criteria group decision making problems, Mathematics 6(4)(2018), Article ID 47
• Fixed points on ordered metric spaces with application in homotopy theory, J. Fixed Point Theory and Applications, 20(2018), Article ID 21.
• α-type fuzzy H-contractive mappings in fuzzy metric spaces, Fixed Point Theory, 19(2)(2018), 463-474.
• Human attitude analysis based on fuzzy soft differential equations with Bonferroni mean, Computational and Applied Math., 37(3)(2018), 2632-2647.
• Soft pedal and influence based decision modeling, Int. J. Fuzzy Systems, 21(2)(2019), 620-629
• Role of honesty and confined interpersonal influence in modelling predilections, Soft Computing, (2019) in press. 


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