Int. J. Advanced Operations Management, Vol. 7, No. 2, 2015 85 Copyright © 2015 Inderscience Enterprises Ltd. Managerial decision mechanism to fuzzy optimal solutions in linear programming problems and post-optimal analyses: robust ranking technique Monalisha Pattnaik Department of Business Administration, Utkal University, Bhubaneswar, Odisha, 751004, India Email: monalisha_1977@yahoo.com Abstract: In this paper, I wish to find the solutions to the fuzzy linear program where some parameters are fuzzy numbers. In practice, there are many problems in which all decision parameters are fuzzy numbers, and such problems are usually solved by either probabilistic programming or multi objective programming methods. Unfortunately, all these methods have shortcomings. In this note, using the concept of comparison of fuzzy numbers, a very effective method is introduced for solving these problems. The model is illustrated with application and a sensitivity analysis is obtained. This paper extends linear programming-based problem in fuzzy environment. With the problem assumptions, the optimal solution can still be theoretically solved using the simplex-based method. To handle the fuzzy decision, variables can be initially generated and then solved and improved sequentially using the fuzzy decision approach by introducing robust ranking technique. The proposed procedure was programmed and through MATLAB (R2009a) version software, the four dimensional slice diagram is represented to the application. The model is illustrated with an application and a post optimal analysis is studied with respect to changes in parameter which incorporates all concepts of a fuzzy arithmetic approach to draw managerial insights. Keywords: linear programming; fuzzy; optimal; post-optimal analyses; robust ranking technique; managerial decision. Reference to this paper should be made as follows: Pattnaik, M. (2015) ‘Managerial decision mechanism to fuzzy optimal solutions in linear programming problems and post-optimal analyses: robust ranking technique’, Int. J. Advanced Operations Management, Vol. 7, No. 2, pp.85–97. Biographical notes: Monalisha Pattnaik is currently a Faculty at the Department of Business Administration of Utkal University, India. She received her PhD in Statistics from Utkal University in 2011. Currently, she is continuing DLit in Business Administration at Utkal University. Her teaching and research interests include operations research, production and operations management, inventory control, supply chain management, TQM, fuzzy, optimisation techniques, research methodology and statistical methods for data analysis. She has published many articles in international and national journals. She has authored two books in international repute. She is a reviewer and member of editorial board of many international and national journals.