Bi-Objective Bilevel Programming Problem: A Fuzzy Approach

S. Haseen; A. Bari

doi:10.1515/jamsi-2015-0015

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Bi-Objective Bilevel Programming Problem: A Fuzzy Approach

Journal of Applied Mathematics, Statistics and Informatics

Volume 11 (2015): Issue 2 (December 2015)

By: S. Haseen and A. Bari

Open Access

|Dec 2015

Abstract

In this paper, a likely situation of a set of decision maker’s with bi-objectives in case of fuzzy multi-choice goal programming is considered. The problem is then carefully formulated as a bi-objective bilevel programming problem (BOBPP) with multiple fuzzy aspiration goals, fuzzy cost coefficients and fuzzy decision variables. Using Ranking method the fuzzy bi-objective bilevel programming problem (FBOBPP) is converted into a crisp model. The transformed problem is further solved by adopting a two level Stackelberg game theory and fuzzy decision model of Sakawa. A numerical with hypothetical values is also used to illustrate the problem.

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Articles in this issue

DOI: https://doi.org/10.1515/jamsi-2015-0015 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 97 - 115

Published on: Dec 30, 2015

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Bi-Objective Bilevel Programming Problem,

Multichoice Goal Programming,

Trapezoidal Fuzzy Numbers,

Ranking Function,

Fuzzy Decision Model

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2015 S. Haseen, A. Bari, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 11 (2015): Issue 2 (December 2015)