@article { author = {Nasseri, Seyed Hadi and Zavieh, Hadi and Mirmohseni, Seyedeh Maedeh}, title = {A Generalized Model for Fuzzy Linear Programs with Trapezoidal Fuzzy Numbers}, journal = {Journal of Applied Research on Industrial Engineering}, volume = {4}, number = {1}, pages = {24-38}, year = {2017}, publisher = {Research Expansion Alliance (REA) on behalf of Ayandegan Institute of Higher Education}, issn = {2538-5100}, eissn = {2676-6167}, doi = {10.22105/jarie.2017.49602}, abstract = {‎ In this paper, we generalize a linear programming problem with symmetric trapezoidal ‎fuzzy number which is introduced by Ganesan and et al. in [3] to a general kind of trapezoidal fuzzy number. In this way, we first establish a new ‏arithmetic operation for multiplication of two ‏trapezoidal fuzzy numbers. Then in order to ‎preparing a method for solving the fuzzy linear programming as well as the primal simplex ‎algorithm, we use a general linear ranking function as a convenient approach in the literature. In fact, our main contribution in this work is based on 3 items: 1) Extending the current fuzzy linear program to a general kind which is not essentially including the symmetric trapezoidal fuzzy number‎s ‎‏,‏ 2) Defining a new multiplication role of two trapezoidal fuzzy number‎s‎, 3) Establishing a fuzzy primal simplex algorithm for solving the generalized model. We in particular emphasize that this study can be used for establishing fuzzy dual simplex algorithm, fuzzy primal-dual simplex algorithm, fuzzy multi objective linear programming and the other similar methods which are appeared in the literature.}, keywords = {Fuzzy linear programming,Fuzzy arithmetic,fuzzy ordering,fuzzy primal simplex algorithm}, url = {https://www.journal-aprie.com/article_49602.html}, eprint = {https://www.journal-aprie.com/article_49602_75b7fc1e31498772f2e35fa1058eef5f.pdf} }