ممنون. اما متن طولانی مانند این `This paper deals with a class of bi-level linear programming problem (BLPP)
with fuzzy data. Fuzzy data are mainly considered to design the real-life BLPP.
So we assume that the coefficients and the variables of BLPP are trapezoidal
fuzzy numbers and the corresponding BLPP is treated as fuzzy BLPP (FBLPP).
Traditional approaches such as vertex enumeration algorithm, Kth-best
algorithm, Krush-Kuhn-Tucker (KKT) condition and Penalty function approach
for solving BLPP are not only technically inefficient but also lead to a
contradiction when the follower’s decision power dominates to the leader’s
decision power. Also these methods are needed to solve only crisp BLPP. To
overcome the difficulty, we extend Technique for Order Preference by
Similarity to Ideal Solution (TOPSIS) in fuzzy environment with the help of
ranking function. Fuzzy TOPSIS provides the most appropriate alternative
solution based on fuzzy positive ideal solution (FPIS) and fuzzy negative ideal
solution (FNIS). An example is included how to apply the discussed concepts of
the paper for solving the FBLPP. ` رو چطوری اضافه کنیم. اگر راهی باشد که یک جا چکیده وارد شود ممنون می شوم.
توسط
Nategh_mehdi
(69 امتیاز)