Ayeru, Amsalu (2015) Multi- Objective Quadratic Programming Problem: A Priority Based Fuzzy Goal Programming. Masters thesis, Addis Ababa University.
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Abstract
This project presents priority based fuzzy goal programmingapproach to multi-objective quadratic programming problem. Inthe proposed approach, we construct the quadratic membershipfunctions by determining the individual best solution of theobjective functions subject to the system constraints. Thequadratic membership functions are then transformed intoequivalent linear membership functions at the individual bestsolution point by first order Taylor series approximation. Thenfuzzy goal programming approach is used for achieving highestdegree of each of the membership goals by minimizing negativedeviational variables. Then, sensitivity analysis with thevariations of the priority structure is performed to identify themost appropriate priority structure in the decision-makingcontext by using distance function. A numerical example issolved in order to show the efficiency of the proposed approach.
| Item Type: | Thesis (Masters) |
|---|---|
| Uncontrolled Keywords: | Goal programming, Multi-objective quadratic programming,Priority based fuzzy goal programming, Quadraticprogramming. |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science Q Science > QA Mathematics > QA76 Computer software T Technology > T Technology (General) |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 16 Aug 2018 09:53 |
| Last Modified: | 16 Aug 2018 09:53 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/4757 |
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