A TAYLOR SERIES APPROACH FOR SOLVING LINEAR FRACTIONAL DECENTRALIZED BI-LEVEL MULTI-OBJECTIVE DECISION-MAKING UNDER FUZZINESS

Subject Areas : International Journal of Mathematical Modelling & Computations

Mansour Saraj ¹ , Nima Safaei ²

1 -
2 - Iran, Islamic Republic of

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: Fractional programming, Fuzzy programming, Taylor series, Bilevel programming, Kuhn- Tucker conditions,

Abstract :

This paper presents a Taylor series approach for solving linear fractional de-centralized bi-level multi-objective decision-making (LFDBL-MODM) problems with asingle decision maker at the upper level and multiple decision makers at the lower level.In the proposed approach, the membership functions associated with each objective(s) ofthe level(s) of LFDBL-MODM are transformed by using a Taylor series and then they areunified. On using the Kuhn-Tucker conditions, the problem is finally reduced to a singleobjective. Numerical example is given in order to illustrate the efficiency and superiorityof the proposed approach.