20.500.12556/DKUM-86127 Generalised fuzzy linear programming Generalizirano mehko linearno programiranje Linear programming is one of the widely used methods for optimising business systems, which includes organisational, financial, logistic and control subsystems of energy systems in general. It is possible to express numerous real-world problems in a form of linear program and then solve by simplex method [1]. In the development of linear programming, we are facing a number of upgrades and generalisations, as well as replenishment. Particularly interesting in recent years is an option that decision variables and coefficients are fuzzy numbers. In this case we are dealing with fuzzy linear programming. If we also include in a fuzzy linear program a generalisation with respect to Wolfe’s modified simplex method [1], we obtain a generalised fuzzy linear program (GFLP). Usenik and Žulj introduced methods for solving those programs and proved the existence of the optimal solution in [2]. In the article, the simplex algorithm which enables the determining of an optimal solution for GFLP is described. There is a numerical example at the end of the article that illustrates the algorithm. Linearno programiranje je najbolj uporabljena metoda optimizacije poslovnih sistemov, med katere štejemo tudi organizacijske, finančne, logistične in nasploh upravljalne podsisteme energetskega sistema. Veliko praktičnih problemov je mogoče izraziti v obliki linearnega programa, ki ga nato rešimo s simpleksno metodo [1]. Razvoj linearnega programiranja je doživel vrsto nadgradenj, posplošitev in dopolnitev. V zadnjih letih je še posebej zanimiva možnost, da so odločitvene spremenljivke in koeficienti mehka števila – v tem primeru gre za mehko linearno programiranje. Ko pa v ta program uvedemo še pojem generalizacije v Wolfejev pomenu [1], govorimo o generaliziranem mehkem linearnem programiranju (GMLP). Usenik in Žulj [2] sta razvila postopke reševanja takšnih programov in dokazala eksistenco optimalne rešitve. V članku opišemo algoritem simpleksnega postopka za GMLP, ki omogoča izračun optimalne rešitve, in na koncu dodamo numerični primer, ki ilustrira izvedeni algoritem. linear programming fuzzy linear programming generalised linear programming generalised fuzzy linear programmin linearno programiranje mehko linearno programiranje posplošeno linearno programiranje posplošeno mehko linearno programiranje true false true Fakulteta za energetiko Univerze v Mariboru Angleški jezik Slovenski jezik Znanstveno delo 2023-10-11 09:58:33 2023-10-11 10:00:29 2023-10-12 03:07:11 0000-00-00 00:00:00 2023 0 0 Str. 23-39 Št. 1 Letn. 16 jun. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-06-01 519.852 162884355 1855-5748 Generalised_fuzzy_linear_programming_Usenik_2023.pdf Generalised_fuzzy_linear_programming_Usenik_2023.pdf 1 3821B4C88BFA04F38B2CD46E878AD253 25a514558a6114305b29d662c8e49e9eda3f7a15cdc1e1f27532a369b62fc9ff a8a5644e-680c-11ee-896e-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=173475 https://www.fe.um.si/images/jet/2023/16-1-JET_Paper2.pdf 1 fb39a99e-680b-11ee-896e-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=173474 Fakulteta za energetiko Journal of energy technology 0 0 0