Akram, MuhammadUllah, IftikharAllahviranloo, Tofigh2023-05-222023-05-222022Akram, M., Ullah, I., & Allahviranloo, T. (2022). A new method to solve linear programming problems in the environment of picture fuzzy sets. Iranian Journal of Fuzzy Systems, 19(6), 29-49.1735-06542676-4334http://dx.doi.org/10.22111/IJFS.2022.7208https://hdl.handle.net/20.500.12713/3921Picture fuzzy set is characterized by neutral membership function along with the membership and non-membership functions, and is, therefore, more general than the intuitionistic fuzzy set which is only characterized by membership and non-membership functions. In this paper, first, we are going to point out a drawback and try to fix it by the existing trapezoidal picture fuzzy number. Furthermore, we define an LR flat picture fuzzy number, which is a generalization of trapezoidal picture fuzzy numbers. We also discuss a linear programming model with LR flat picture fuzzy numbers as parameters and variables and present a method to solve these type of problems using a generalized ranking function.eninfo:eu-repo/semantics/closedAccessPicture Fuzzy Linear Programming ProblemLR Flat Picture Fuzzy NumbersPicture Fuzzy NumbersRanking FunctionArticle1962949WOS:000885481900003Q110.22111/IJFS.2022.7208