Solutions Of Fully Fuzzy Linear Programming Problem Models Using ϑ_R - Ranking Function

Abstract

Initially, the paper begins with the introduction of linear programming problem techniques and the literature reviews on fuzzy optimization concepts. Then, it proposes a new ranking function that employs the value of a trapezoidal fuzzy number to solve the fully fuzzy linear programming problems. Furthermore, the paper compares the proposed method with Maleki's ranking function method. Next, this paper discusses the following two models: the shopping model and the power generation model. The first model aims to minimize the costs for consumers who shop either online or offline, while the second model focuses on generating more power to enhance the economy of the country. Through the paper, both the models will be analyzed and then the proposed ranking function will be applied. The goal of the research paper is to contribute to the field of fully fuzzy linear programming problems by suggesting a new ranking function and discussing its applications in two significant models.