Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets

Applied Soft Computing Journal

Volumn 9, Issue 2, 2009, Pages 457-461

  Ashtiani, Behzad ^a   Haghighirad, Farzad ^b   Makui, Ahmad ^a   Montazer, Golam ali ^b  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

Interval valued fuzzy set; Multi criteria decision making; TOPSIS

Indexed keywords

COMPUTATIONAL LINGUISTICS; DECISION THEORY; FUZZY SETS; MANAGEMENT; PROGRAMMING THEORY; SET THEORY;

DECISION MAKER (DM); INTERVAL-VALUED FUZZY SET; MULTI CRITERIA DECISION MAKING; TOPSIS; TOPSIS METHOD;

DECISION MAKING;

EID: 58549095436     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2008.05.005     Document Type: Article

References (24)

1. Hwang C.L., and Yoon K. Multiple Attributes Decision Making Methods and Applications (1981), Springer, Berlin Heidelberg
2. K. Yoon, System selection by multiple attribute decision making, Ph.D. dissertations, Kansas State University, Manhattan, Kansas, 1980.
3. Abo-Sinna M.A., and Amer A.H. Extensions of TOPSIS for multi objective large-scale nonlinear programming problems. Applied Mathematics and Computation 162 (2005) 243-256
4. Agrawal V.P., Kohli V., and Gupta S. Computer aided robot selection: the multiple attribute decision making approach. International Journal of Production Research 29 (1991) 1629-1644
5. Chen M.F., and Tzeng G.H. Combining grey relation and TOPSIS concepts for selecting an expatriate host country. Mathematical and Computer Modeling 40 (2004) 1473-1490
6. Chen C.T. Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems 114 (2000) 1-9
7. Tsaur S.H., Chang T.Y., and Yen C.H. The evaluation of airline service quality by fuzzy MCDM. Tourism Management 23 (2002) 107-115
8. Chu T.C., and Lin Y.C. A fuzzy TOPSIS method for robot selection. The International Journal of Advanced Manufacturing Technology 21 (2003) 284-290
9. Triantphyllou E., and Lin C.T. Development and evaluation of five fuzzy multi attribute decision making methods. International Journal of Approximate Reasoning 14 (1996) 281-310
10. Wang Y.M., and Elhag T.M.S. Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment. Expert Systems with Applications 31 (2005) 309-319
11. Zadeh L. The concept of a linguistic variable and its application to approximate reasoning - I. Information Science 8 (1975) 199-249
12. R. Sambuc, Fonctions φ{symbol}-floues. Application à l'aide au diagnostic en pathologie thyroidienne, Ph.D. Thesis, University of Marseille 1975.
13. Grattan-Guinness I. Fuzzy membership mapped onto interval and many-valued quantities. Z. Math. Logik Grundlag. Mathe. 22 (1975) 149-160
14. Gorzalczany M.B. A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems 21 (1987) 1-17
15. Turksen I.B. Interval-valued strict preference with Zadeh triples. Fuzzy Sets and Systems 78 (1996) 183-195
16. Cornelis C., Deschrijver G., and Kerre E.E. Advances and challenges in interval-valued fuzzy logic. Fuzzy Sets and Systems 157 (2006) 622-627
17. Karnik N.N., and Mendel J.M. Operations on type-2 fuzzy sets. Fuzzy Sets and Systems 122 (2001) 327-348
18. Wang G., and Li X. The applications of interval-valued fuzzy numbers and interval-distribution numbers. Fuzzy Sets and Systems 98 (1998) 331-335
19. Kohout L.J., and Bandler W. Fuzzy interval inference utilizing the checklist paradigm and BK-relational products. In: Kearfort R.B., et al. (Ed). Applications of Interval Computations (1996), Kluwer, Dordrecht 291-335
20. H. Bustince, Conjuntos Intuicionistas e Intervalo valorados Difusos: Propiedades y Construcci_on, Relaciones Intuicionistas Fuzzy, Thesis, Universidad P_ublica de Navarra, 1994.
21. Turksen I.B. Interval-valued fuzzy sets based on normal forms. Fuzzy Sets and Systems 20 (1986) 191-210
22. Turksen I.B. Interval-valued fuzzy sets and compensatory. Fuzzy Sets and Systems 51 (1992) 295-307
23. Hong D.H., and Lee S. Some algebraic properties and a distance measure for interval-valued fuzzy numbers. Information Sciences 148 (2002) 1-10
24. Grzegorzewski P. Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Set and Systems 148 (2004) 319-328