×

An approach to multiple attribute decision making based on fuzzy preference information on alternatives. (English) Zbl 1027.91015

Summary: This paper investigates the multiple attribute decision making (MADM) problem with preference information on alternatives. A new approach is proposed to solve the MADM problem, where the decision maker gives his/her preference on alternatives in a fuzzy relation. To reflect the decision maker’s preference information, an optimization model is constructed to assess the attribute weights and then to select the most desirable alternatives. Finally, an example is used to illustrate the proposed approach.

MSC:

91B06 Decision theory
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Bernardo, J.J.; Blin, J.M., A programming model of consumer choice among multi-attributed brands, J. consumer res., 4, 111-118, (1977)
[2] Calpine, H.C.; Golding, A., Some properties of Pareto-optimal choices in decision problems, Omega, 4, 141-147, (1976)
[3] Chen, S.-J.; Hwang, C.-L., Fuzzy multiple attribute decision making: methods and applications, (1992), Springer New York
[4] Chiclana, F.; Herrera, F.; Herrera-Viedma, E., Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations, Fuzzy sets and systems, 97, 33-48, (1998) · Zbl 0932.91012
[5] Churchman, C.W.; Ackoff, R.L., An approximate measure of value, J. oper. res. soc. amer., 2, 172-187, (1954) · Zbl 1414.90178
[6] Cook, W.D.; Kress, M., A multiple-criteria composite index model for quantitative and qualitative data, European J. oper. res., 78, 367-379, (1994) · Zbl 0813.90068
[7] Dasarathy, B.V., SMART: similarity measure anchored ranking technique for the analysis of multidimensional data analysis, IEEE trans. systems man cybernet., 6, 708-711, (1976)
[8] Dawes, R.M., Social selection based on multidimensional criteria, J. abnormal soc. psychol., 68, 104-109, (1964)
[9] Eilon, S., Goals and constraints in decision-making, Oper. res. quart., 23, 3-15, (1972)
[10] Fan, Z.-P.; Pan, D.-H., Multiple attribute decision making with the alternative preference information, Systems eng.—theory practice, 16, 3, 28-32, (1996)
[11] Feng, S.; Xu, L.D., Decision support for fuzzy comprehensive evaluation of urban development, Fuzzy sets and systems, 105, 1-12, (1999)
[12] Foerster, J.F., Mode, choice decision process modelsa comparison of compensatory and non-compensatory structures, Transportation res., 13A, 17-28, (1979)
[13] Hartley, R., Linear and nonlinear programming: an introduction to linear methods in mathematical programming, (1985), Ellis Horwood Limited England · Zbl 0555.90066
[14] Hwang, C.-L.; Yoon, K., Multiple attribute decision makingmethods and applications, (1981), Springer Berlin
[15] Kacprzyk, J., Group decision making with a fuzzy linguistic majority, Fuzzy sets and systems, 18, 105-118, (1986) · Zbl 0604.90012
[16] Kruskal, J.B., Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis, Psychometrika, 29, 1-27, (1964) · Zbl 0123.36803
[17] Kruskal, J.B., Nonmetric multidimensional scalinga numerical method, Psychometrika, 29, 115-129, (1964) · Zbl 0123.36804
[18] Li, D., Fuzzy multiattribute decision-making models and methods with incomplete preference information, Fuzzy sets and systems, 106, 113-119, (1999) · Zbl 0942.91022
[19] Ma, J.; Fan, Z.-P.; Huang, L.-H., A subjective and objective integrated approach to determine attribute weights, European J. oper. res., 112, 397-404, (1999) · Zbl 0939.91030
[20] Malakooti, B.; Zhou, Y.Q., Feed forward artificial neural networks for solving discrete multiple criteria decision making problems, Management sci., 40, 1542-1561, (1994) · Zbl 0823.90072
[21] Orlovski, S.A., Decision-making with a fuzzy preference relation, Fuzzy sets and systems, 1, 155-167, (1978) · Zbl 0396.90004
[22] Paelinck, J.H.P., Qualitative multiple criteria analysis, environmental protection and multiregional development, Papers reg. sci. assoc., 36, 59-74, (1976)
[23] Srinivasan, V.; Shocker, A.D., Linear programming techniques for multidimensional analysis of preference, Psychometrika, 38, 337-369, (1973) · Zbl 0316.92024
[24] Tanino, T., Fuzzy preference orderings in group decision making, Fuzzy sets and systems, 12, 117-131, (1984) · Zbl 0567.90002
[25] Tanino, T., On group decision making under fuzzy preference, (), 172-185
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.