The intuitionistic fuzzy set has been applied to game theory very rarely since it was introduced by Atanassov in 1983. The aim of this paper is to develop an effective methodology for solving matrix games with payoffs of Atanassov’s triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concepts and ranking order relations of Atanassov’s TIFNs are defined. A pair of bi-object...

The Generalised Nash Equilibrium Problem (GNEP) is a Nash game with the distinct feature that the feasible strategy set of a player depends on the strategies chosen by all her opponents in the game. This characteristic distinguishes the GNEP from a conventional Nash Game. These shared constraints on each player’s decision space, being dependent on decisions of others in the game, increases its ...

This paper deals with a multi-period technician routing and scheduling problem. The problem carries out the tasks at various locations by being divided into teams considering differently skilled technicians. provides bi-objective mixed integer programming method to model since goals of performed are optimize travel cost while simultaneously minimizing overtime waiting time. introduces fuzzy log...

In this paper, bi-level linear programming problem with multiple objectives at each level in intuitionistic fuzzy environment is studied and solved. In this problem, technological coefficients and resources are characterized by intuitionistic fuzzy numbers having linear membership and non-membership function. Intuitionistic fuzzy efficient solution is computed for the upper level by the propose...

This study introduces the opportunity cost of distribution network. The centralized and distributed supply chain distribution network of bi-level programming model were constructed by defining the distribution centers face different stock losses, which include one manufacturer, more distribution centers and multiple retailers. Combined with the traditional genetic algorithm, this study designed...

This paper presents a parametric bi-level quadratic programming problem with random rough coefficient in objective functions. An approach combines the convert technique of rough coefficient and Stackelberg strategy. An auxiliary problem is discussed and an algorithm as well as an example is presented.

Greenhouse gas (GHG) emissions from municipal solid waste (MSW) management significantly contribute to high global warming potential (GWP). However, most studies have failed to facilitate identifying MSW management schemes capable of comprehensively meeting the goals from decision-makers at different hierarchical levels under uncertainties. This study develops an inexact bi-level linear program...