Fuzzylp: An r package for solving fuzzy linear programming problems

Abstract

An inherent limitation of Linear Programming is the need to know precisely all the conditions concerning the problem being modeled. This is not always possible as there exist uncertainty situations which require a more suitable approach. Fuzzy Linear Programming allows working with imprecise data and constraints, leading to more realistic models. Despite being a consolidated field with more than 30 years of existence, almost no software has been developed for public use that solves fuzzy linear programming problems. Here we present an open-source R package to deal with fuzzy constraints, fuzzy costs and fuzzy coefficients in linear programming. The theoretical foundations for solving each type of problem are introduced first, followed by code examples. The package is accompanied by a user manual and can be freely downloaded, employed and extended by any R user.