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

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SARAJ M.; SAFAEI N.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2015 | Volume:5 | Issue:1 Page(s): 91-97

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Title

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

Author(s)

SARAJ M. | SAFAEI N. | Issue Writer Certificate

Keywords

BILEVEL PROGRAMMING

FRACTIONAL PROGRAMMING

FUZZY PROGRAMMING

KUHN-TUCKER CONDITIONS

TAYLOR SERIES

Abstract

This paper presents a TAYLOR SERIES approach for solving linear fractional decentralized 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 pro- posed approach, the membership functions associated with each objective (s) of the level (s) of LFDBL-MODM are transformed to a linear form 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.

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APA: Copy

SARAJ, M., & SAFAEI, N.. (2015). A TAYLOR SERIES APPROACH FOR SOLVING LINEAR FRACTIONAL DECENTRALIZED BI-LEVEL MULTI-OBJECTIVE DECISION-MAKING UNDER FUZZINESS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 5(1), 91-97. SID. https://sid.ir/paper/328306/en

Vancouver: Copy

SARAJ M., SAFAEI N.. A TAYLOR SERIES APPROACH FOR SOLVING LINEAR FRACTIONAL DECENTRALIZED BI-LEVEL MULTI-OBJECTIVE DECISION-MAKING UNDER FUZZINESS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2015;5(1):91-97. Available from: https://sid.ir/paper/328306/en

IEEE: Copy

M. SARAJ, and N. SAFAEI, “A TAYLOR SERIES APPROACH FOR SOLVING LINEAR FRACTIONAL DECENTRALIZED BI-LEVEL MULTI-OBJECTIVE DECISION-MAKING UNDER FUZZINESS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 5, no. 1, pp. 91–97, 2015, [Online]. Available: https://sid.ir/paper/328306/en

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