TY - JOUR ID - 99478 TI - Solving Linear Fractional Programming Problem in symmetric trapezoidal fuzzy environment JO - Journal of Garmian University JA - JGU LA - ku SN - 23100087 AU - Majeed, Amir Sabir AD - Department of mechanic engineering, College of Technical Engineering, Sulaimani polytechnic University Y1 - 2019 PY - 2019 VL - 6 IS - 3 SP - 368 EP - 374 KW - Fuzzy set KW - Fuzzy number KW - trapezoidal fuzzy number KW - ranking function KW - Fuzzy mathematical programming KW - Fuzzy linear programming KW - fuzzy fractional linear programming KW - Fuzzy simplex method DO - 10.24271/garmian.196380 N2 - Fuzzy set theory has been applied on different important fields, such as managements, operations research, and control theory. In this paper, we provided a new algorithm to solving a fuzzy fractional linear programming problem (FFlPP) in full fuzzy environments. All the variables and coefficients of both the constraints and the objective function are symmetric trapezoidal fuzzy numbers. The fuzzy linear fractional programming problem (FLFP) has been switched to fuzzy linear programming (FLP) problems, where both of constraint and objective function involve fuzzy numbers as variables and coefficients. Further, using the fuzzy simplex method algorithm to get an optimal fuzzy solution. Finally, we provide illustrative numerical examples. UR - https://jgu.garmian.edu.krd/article_99478.html L1 - https://jgu.garmian.edu.krd/article_99478_c43972ac490dcd557743ff5138bc5dca.pdf ER -