Akram, Muhammad SaeedUllah, InayatAllahviranloo, Tofigh2025-04-182025-04-182022Akram, 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), 29-49.17350654http://dx.doi.org/10.22111/ijfs.2022.7208https://hdl.handle.net/20.500.12713/6579Picture 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. © 2022, University of Sistan and Baluchestan. All rights reserved.eninfo:eu-repo/semantics/closedAccessLR Flat Picture Fuzzy NumbersPicture Fuzzy Linear ProgrammingPicture Fuzzy Linear Programming ProblemPicture Fuzzy NumbersRanking FunctionArticle1962949WOS:0008854819000032-s2.0-85133969432Q110.22111/ijfs.2022.7208Q1