This paper introduces a ranking function procedure on a bi-level programming for Stackelberg game involving intuitionistic fuzzy parameters. Intuitionistic fuzzy number 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 proportional 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 applicability of the proposed methodology, and the achieved results are compared with the existing methods.
Sumit Kumar Maiti, Sankar Kumar Roy
. Bi-level Programming for Stackelberg Game with Intuitionistic Fuzzy Number: a Ranking Approach[J]. Journal of the Operations Research Society of China, 2021
, 9(1)
: 131
-149
.
DOI: 10.1007/s40305-018-0234-2
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