Validating AHP, fuzzy alpha cut and fuzzy preference programming method using clustering technique

OPSEARCH

Volumn 47, Issue 1, 2010, Pages 5-15

  Mitra, Kalyan ^a  

^a INDIAN MARITIME UNIVERSITY   (India)

Author keywords

AHP; Fuzzy alpha cut; Fuzzy clustering; Fuzzy preference programming (FPP); Validation

Indexed keywords

EID: 79954441708     PISSN: 00303887     EISSN: 09750320     Source Type: Journal    
DOI: 10.1007/s12597-010-0001-6     Document Type: Article

References (19)

1. Saaty T.L.: Multicriteria decision making: the analytic hierarchy process. RWS Publications, Pittsburgh, PA, (1988)
2. Bellman R., Zadeh L.A.: Decision-making in a fuzzy environment. Manag Sci, 17, 141-164 (1970)
3. Hanne T.: Intelligent strategies for meta multiple criteria decision making. Kluwer Academic Publisher, Massachusetts, (2001)
4. Xu R.: Fuzzy least square priority method in the analytic hierarchy process. Fuzzy Sets Syst, 112, 395-404 (2000)
5. Carlsson C., Fuller R.: Fuzzy multiple criteria decision-making: recent developments. Fuzzy Sets Syst, 78, 139-153 (1996) (Pubitemid 126667365)
6. Van Laarhoven P.J.M., Pedrycz W.: Fuzzy extension for Saaty's priority theory. Fuzzy Sets Syst, 11, 229-241 (1983) (Pubitemid 14507023)
7. Wagenknecht M., Hartmann K.: On fuzzy rank ordering in polyoptimisation. Fuzzy Sets Syst, 11, 253-264 (1983)
8. Deng H., Yeh C.H., Willis R.I.: Inter-company comparison using modified TOPSIS with objective weights. Comput Oper Res, 27, 963-997 (2000)
9. Mikhailov L.: A fuzzy programming method for deriving priorities in the analytic hierarchy process. J Oper Res Soc, 51, 341-349 (2000) (Pubitemid 30566162)
10. Yen J., Langari R.: Fuzzy Logic: intelligence, control and information. Prentice- Hall, New Jersey, (1999)
11. Zimmermann H.J.: Fuzzy set theory and its applications. Kluwer Academic Publisher, Massachusetts, (1990)
12. Boender C.G.E., de Graan J.G., Lootsma F.A.: Multicriteria decision Analysis with fuzzy pairwise comparisons. Fuzzy Sets Syst, 29, 133-143 (1989)
13. Bortolan G., Degani R.: A review of some methods for ranking fuzzy subsets, Fuzzy Sets Syst, 15, 1-19 (1985) (Pubitemid 15524359)
14. Dubois D., Prade H.: Fuzzy sets and systems, Academic Press, New York, (1980)
15. Zopounidis C., Doumpos M.: Multicriteria classification and sortinf methods: A literature review. Eur J Oper Res, 138, 229-246 (2002) (Pubitemid 34065095)
16. Guitouni A., Martel J.M.: Tentative guidelines to help choosing an appropriate MCDA method. Eur J Oper Res, 109, 501-521 (1998) (Pubitemid 128417848)
17. Bezdek J.C.: Pattern recognition with fuzzy objective function algorithms. Plenum Press, New York, (1981)
18. Windham M.P.: Cluster validity for fuzzy clustering algorithms. Fuzzy Sets Syst, 5, 177-185 (1981)
19. Bellman R., Kalaba R., Zadeh L.A.: Abstraction and pattern classification.J Math Anal Appl, 13, 1-7 (1966)