Fulpal — An Interactive Method for Solving (Multiobjective) Fuzzy Linear Programming Problems. This paper presents a method for solving (multicriteria) linear programs, where the right-hand sides as well as the coefficients in the constraints and/or the objective function(s) may be fuzzy. This approach is based on a new interpretation of the inequality-relation “ ≦∼ ”. Here a fuzzy constraint is replaced by a crisp inequality and a fuzzy objective function (utility function). This interpretation coincides with the well-known concepts in crisp inequalities and in soft constraints. The decision procedure is modelled as an interactive man-machine process, called FULPAL (Fuzzy linear programming based on aspiration levels), which can be controlled by aspiration levels. This general method includes the procedure for solving LP-problems with soft constraints, proposed by ZIMMERMANN [1978],[ROMMELFANGER 1983], [WERNERS 1984] a.o.

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  1. Figueroa-García, Juan Carlos; Hernández-Pérez, Germán: A note on the fuzzy extension principle for LP problems with fuzzy coefficient matrix (2017)
  2. Hasuike, Takashi: Robust shortest path problem based on a confidence interval in fuzzy bicriteria decision making (2013)
  3. Katagiri, Hideki; Sakawa, Masatoshi: Interactive multiobjective fuzzy random programming through the level set-based probability model (2011)
  4. Ryu, Kwangyeol; Yücesan, Enver: A fuzzy newsvendor approach to supply chain coordination (2010)
  5. Lu, Jie; Zhang, Guangquan; Ruan, Da: Fuzzy multi-objective decision-making models and approaches (2008)
  6. Liu, Shixin; Yung, K. L.; Ip, W. H.: Genetic local search for resource-constrained project scheduling under uncertainty (2007)
  7. Lu, Jie; Ruan, Da; Wu, Fengjie; Zhang, Guangquan: An (\alpha)-fuzzy goal approximate algorithm for solving fuzzy multiple objective linear programming problems (2007)
  8. Rommelfanger, Heinrich: A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values (2007)
  9. Herroelen, Willy; Leus, Roel: Project scheduling under uncertainty: survey and research potentials (2005)
  10. Wang, Juite; Shu, Yun-Feng: Fuzzy decision modeling for supply chain management (2005)
  11. Wang, Juite: A fuzzy robust scheduling approach for product development projects. (2004)
  12. Dubois, Didier; Fargier, Helene; Fortemps, Philippe: Fuzzy scheduling: Modelling flexible constraints vs. coping with incomplete knowledge (2003)
  13. Mohan, C.; Nguyen, H. T.: An interactive satisficing method for solving multiobjective mixed fuzzy-stochastic programming problems (2001)
  14. Hapke, Maciej; Słowiński, Roman: Fuzzy set approach to multi-objective and multi-mode project scheduling under uncertainty (2000)
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  19. Rommelfanger, H.: FULPAL - an interactive method for solving (multiobjective) fuzzy linear programming problems (1990)