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

International Journal of Mathematical Modelling & Computations

مقاله 8، دوره 5، 1 (WINTER)، فروردین 2015، صفحه 91-97   

نویسندگان

Mansour Saraj؛ Nima Safaei

Iran, Islamic Republic of

چکیده

This paper presents a Taylor series approach for solving linear fractional de-
centralized bi-level multi-objective decision-making (LFDBL-MODM) problems with a
single 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) of
the level(s) of LFDBL-MODM are transformed by using a Taylor series and then they are
unified. On using the Kuhn-Tucker conditions, the problem is finally reduced to a single
objective. Numerical example is given in order to illustrate the efficiency and superiority
of the proposed approach.

کلیدواژه‌ها

Bilevel programming؛ Fractional programming؛ Fuzzy programming؛ Kuhn- Tucker conditions؛ Taylor series