Evaluation of alternatives applying TOPSIS method in a fuzzy environment
The paper analyses the problem of multiple attribute decisionâ€making (MADM) under fuzzy environment. In some cases the crisp value is inadequate to model realâ€life situations. For this reason some fuzzy MADM methods have been developed. The extended TOPSIS (Technique for the Order Preference by Si...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2005-12-01
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| Series: | Technological and Economic Development of Economy |
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| Online Access: | http://localhost/journals.vgtu.lt/index.php/TEDE/article/view/8540 |
| Summary: | The paper analyses the problem of multiple attribute decisionâ€making (MADM) under fuzzy environment. In some cases the crisp value is inadequate to model realâ€life situations. For this reason some fuzzy MADM methods have been developed. The extended TOPSIS (Technique for the Order Preference by Similarity to Ideal Solution) to fuzzy environment is presented in the current paper. Weights and ratings of each criterion are described in triangular fuzzy numbers. The relative closeness to the ideal solution of each alternative is calculated applying different approaches that were presented in different scientific papers. A computational experiment is presented to compare the results of a multiple attribute analysis that uses three modifications of fuzzy TOPSIS method in a particular situation.
Alternatyvių vertinimo būdai TOPSIS metodu, esant neapibrėžtumui
Santrauka
Straipsnyje nagrinÄ—jama daugiatikslių sprendimų priÄ—mimo (MADM) problema esant neapibrėžtumui. Kai kuriais atvejais tradiciniai metodai nÄ—ra tinkami realioms situacijoms modeliuoti. DÄ—l Å¡ios priežasties mokslinÄ—je praktikoje taikomi neapibrėžtieji MADM metodai. Å iame straipsnyje analizuojamas iÅ¡plÄ—stas artumo idealiajam taÅ¡kui (TOPSIS) metodas, pritaikytas naudoti neapibrėžtoje aplinkoje. Metode rodiklių reikÅ¡mÄ—s ir santykiniai reikÅ¡mingumai iÅ¡reiÅ¡kiami neapibrėžtaisiais skaiÄiais, apraÅ¡ytais trikampe priklausomumo funkcija. Santykinis kiekvienos alternatyvos artumas idealiajam sprendiniui gali bÅ«ti skaiÄiuojamas skirtingais mokslinÄ—je literatÅ«roje apraÅ¡omais bÅ«dais. Publikacijoje pateikiamas skaiÄiavimų eksperimentas ir lyginami alternatyvų vertinimo rezultatai, gauti pritaikius tris skirtingus neapibrėžtojo TOPSIS metodo algoritmus.
Reikšminiai žodžiai: alternatyvų prioriteto nustatymas, TOPSIS, neapibrėžtumas, neapibrėžtųjų aibių teorija
First Published Online: 21 Oct 2010 |
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| ISSN: | 2029-4913 2029-4921 |