A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems
This paper presents a new approach for solving decentralized bi-level multi-objective linear fractional programming problems. The main goal was to find a simple algorithm with high confidence of decision-makers in the results. First, all the linear fractional programming models on the given set of c...
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doaj-573fa43877cb456cacae89b7494ef7be2020-11-24T21:34:38ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312019-01-01101657410.17535/crorr.2019.0007222091A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problemsTunjo Perić0Zoran Babić1Maid Omerović2Faculty of Economics and Business, University of Zagreb, ZagrebFaculty of Economics, Business and Tourism, University of Split, Split, CroatiaFaculty of Education, University of Travnik, Travnik, Bosnia and HerzegovinaThis paper presents a new approach for solving decentralized bi-level multi-objective linear fractional programming problems. The main goal was to find a simple algorithm with high confidence of decision-makers in the results. First, all the linear fractional programming models on the given set of constraints were solved separately. Next, all the linear fractional objective functions were linearized, membership functions of objective functions and decision variables controlled by decision-makers at the highest level calculated, and a fuzzy multi-objective linear programming model formed and solved as linear goal programming problem by using simplex algorithm. The efficiency of the proposed algorithm was investigated using an economic example, and the obtained results compared with those obtained using an existing method.https://hrcak.srce.hr/file/324120 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tunjo Perić Zoran Babić Maid Omerović |
spellingShingle |
Tunjo Perić Zoran Babić Maid Omerović A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems Croatian Operational Research Review |
author_facet |
Tunjo Perić Zoran Babić Maid Omerović |
author_sort |
Tunjo Perić |
title |
A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems |
title_short |
A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems |
title_full |
A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems |
title_fullStr |
A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems |
title_full_unstemmed |
A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems |
title_sort |
fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems |
publisher |
Croatian Operational Research Society |
series |
Croatian Operational Research Review |
issn |
1848-0225 1848-9931 |
publishDate |
2019-01-01 |
description |
This paper presents a new approach for solving decentralized bi-level multi-objective linear fractional programming problems. The main goal was to find a simple algorithm with high confidence of decision-makers in the results. First, all the linear fractional programming models on the given set of constraints were solved separately. Next, all the linear fractional objective functions were linearized, membership functions of objective functions and decision variables controlled by decision-makers at the highest level calculated, and a fuzzy multi-objective linear programming model formed and solved as linear goal programming problem by using simplex algorithm. The efficiency of the proposed algorithm was investigated using an economic example, and the obtained results compared with those obtained using an existing method. |
url |
https://hrcak.srce.hr/file/324120 |
work_keys_str_mv |
AT tunjoperic afuzzygoalprogrammingapproachtosolvingdecentralizedbilevelmultiobjectivelinearfractionalprogrammingproblems AT zoranbabic afuzzygoalprogrammingapproachtosolvingdecentralizedbilevelmultiobjectivelinearfractionalprogrammingproblems AT maidomerovic afuzzygoalprogrammingapproachtosolvingdecentralizedbilevelmultiobjectivelinearfractionalprogrammingproblems AT tunjoperic fuzzygoalprogrammingapproachtosolvingdecentralizedbilevelmultiobjectivelinearfractionalprogrammingproblems AT zoranbabic fuzzygoalprogrammingapproachtosolvingdecentralizedbilevelmultiobjectivelinearfractionalprogrammingproblems AT maidomerovic fuzzygoalprogrammingapproachtosolvingdecentralizedbilevelmultiobjectivelinearfractionalprogrammingproblems |
_version_ |
1725948528580100096 |