Bi-level Programming for Stackelberg Game with Intuitionistic Fuzzy Number: a Ranking Approach  

作　　者：Sumit Kumar Maiti Sankar Kumar Roy 

机构地区：[1]School of Applied Sciences and Humanities,Haldia Institute of Technology,Purba Midnapore,WB 721657,India [2]Department of Applied Mathematics with Oceanology and Computer,Programming,Vidyasagar University,Midnapore,WB 721102,India

出　　处：《Journal of the Operations Research Society of China》2021年第1期131-149,共19页中国运筹学会会刊（英文）

摘　　要：This paper introduces a ranking function procedure on a bi-level programming for Stackelberg game involving intuitionistic fuzzy parameters.Intuitionistic fuzzy num-ber is considered in many real-life situations,so it makes perfect sense to address decision-making problem by using some specified intuitionistic fuzzy numbers.In this paper,intuitionistic fuzziness is characterized by a normal generalized triangular intuitionistic fuzzy number.A defuzzification method is introduced based on the pro-portional probability density function associated with the corresponding membership function,as well as the complement of non-membership function.Using the proposed ranking technique,a methodology is presented for solving bi-level programming for Stackelberg game.An application example is provided to demonstrate the applica-bility of the proposed methodology,and the achieved results are compared with the existing methods.

关 键 词：Bi-levelprogramming Triangular intuitionistic fuzz ynumber Ranking function Nonlinear programming Optimal solution 

分 类 号：O159[理学—数学]