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 paper deals with fuzzy goal programming approach to bilevel multi-objective programming problem with fuzzy parameters. In the proposed approach, the tolerance membership functions for the fuzzily described objective functions are defined by determining individual optimal solution of the objective functions of each of the decision makers. Since the objectives are potentially conflicting in ...

ABSTRACT. Bi-level programming problems are an important type of multi-variable and double-layer programming problems. These problems appear everywhere especially in the industrial, supply-chain, and marketing programming applications. In this work, two new original approaches are proposed to solve bi-level quadratic programming problems in different cases: the so-called ergodic branch-and-boun...

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.

Product portfolio management (PPM) is a critical decision-making for companies across various industries in today's competitive environment. Traditional studies on PPM problem have been motivated toward engineering feasibilities and marketing which relatively pay less attention to other competitors' actions and the competitive relations, especially in mathematical optimization domain. The key c...