Multi-objective Linear Programming Problems involving Fuzzy Parameters
Purnima Pandit, Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda, Vadodara.
Manuscript received on April 05, 2013. | Revised Manuscript received on April 28, 2013. | Manuscript published on May 05, 2013. | PP: 99-102 | Volume-3, Issue-2, May 2013. | Retrieval Number: B1446053213/2013©BEIESP
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In many Linear programming problems it becomes desirable to have multiple criterions being optimized under the similar stated constraints. Also in the real life model the data can rarely be determined exactly with certainty and precision. The experimental data or the experts’ estimation may lead us to the interval of real numbers as the estimates of the parameters involved in the optimization problems. Such parameters can be efficiently modeled as fuzzy number. The situation can be then represented as Multi-objective LPP with fuzzy parameters. We here propose the method to compute the solution for multi-objective fully fuzzy LPP involving parameters represented by triangular fuzzy numbers.
Keywords: Fully fuzzy LPP, fuzzy numbers, multi -objective, triangular fuzzy numbers.