Optimization of -Type Fully Bipolar Fuzzy Linear Programming Problems

In this study, we present a technique to solve - type fully bipolar fuzzy linear programming problems (FBFLPPs) with equality constraints. We define - type bipolar fuzzy numbers and their arithmetic operations. We discuss multiplication of - type bipolar fuzzy numbers. Furthermore, we develop a method to solve - type FBFLPPs with equality constraints involving - type bipolar fuzzy numbers as parameters and variables. Moreover, we define ranking for - type bipolar fuzzy numbers which transform the - type FBFLPP into a crisp linear programming problem. Finally, we consider numerical examples to illustrate the proposed method.