Multi-Criteria Decision Making: An Operations Research Approach

The core of operations research is the development of approaches for optimal decision making. A prominent class of such problems is multi-criteria decision making (MCDM). The typical MCDM problem deals with the evaluation of a set of alternatives in terms of a set of decision criteria. This paper provides a comprehensive survey of some methods for eliciting data for MCDM problems and also for processing such data.

[1]  T. Saaty Axiomatic foundation of the analytic hierarchy process , 1986 .

[2]  Evangelos Triantaphyllou,et al.  An examination of the effectiveness of multi-dimensional decision-making methods: A decision-making paradox , 1989, Decis. Support Syst..

[3]  P. Kline Models of man , 1986, Nature.

[4]  E. Triantaphyllou,et al.  A Sensitivity Analysis Approach for Some Deterministic Multi-Criteria Decision-Making Methods* , 1997 .

[5]  G. W. Evans,et al.  Layout design using the analytic hierarchy process , 1991 .

[6]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[7]  Valerie Belton,et al.  On a short-coming of Saaty's method of analytic hierarchies , 1983 .

[8]  Lawrence E. Marks,et al.  Sensory Processes: The new Psychophysics , 1975 .

[9]  James R. Evans SENSITIVITY ANALYSIS IN DECISION THEORY , 1984 .

[10]  T. Boucher,et al.  Multiattribute Evaluation within a Present Value Framework and its Relation to the Analytic Hierarchy Process , 1991 .

[11]  G. Stewart Introduction to matrix computations , 1973 .

[12]  S. S. Stevens,et al.  Hearing, Its Psychology And Physiology , 1983 .

[13]  T. Saaty An exposition of the AHP in reply to the paper “remarks on the analytic hierarchy process” , 1990 .

[14]  Thomas L. Saaty Fundamentals of decision making and priority theory , 2000 .

[15]  R. Kalaba,et al.  A comparison of two methods for determining the weights of belonging to fuzzy sets , 1979 .

[16]  P. Pardalos,et al.  Minimization approach to membership evaluation in fuzzy sets and error analysis , 1990 .

[17]  K. Schittkowski,et al.  NONLINEAR PROGRAMMING , 2022 .

[18]  G. A. Miller THE PSYCHOLOGICAL REVIEW THE MAGICAL NUMBER SEVEN, PLUS OR MINUS TWO: SOME LIMITS ON OUR CAPACITY FOR PROCESSING INFORMATION 1 , 1956 .

[19]  Nesa L'abbe Wu,et al.  Linear programming and extensions , 1981 .

[20]  F. Lootsma The french and the american school in multi-criteria decision analysis , 1990 .

[21]  Chester W. Wright,et al.  Economics and systems analysis: introduction for public managers , 1973 .

[22]  Roger N. Wabalickis Justification of FMS with the analytic hierarchy process , 1988 .

[23]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[24]  N. C. Dimensional Analysis , 1932, Nature.

[25]  Panos M. Pardalos,et al.  On the Evaluation and Application of Different Scales For Quantifying Pairwise Comparisons in Fuzzy Sets , 1994 .

[26]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .

[27]  Freerk A. Lootsma,et al.  Multi-criteria analysis and budget reallocation in long-term research planning , 1990 .

[28]  T. L. Saaty A Scaling Method for Priorities in Hierarchical Structures , 1977 .

[29]  Evangelos Triantaphyllou,et al.  A quadratic programming approach in estimating similarity relations , 1993, IEEE Trans. Fuzzy Syst..

[30]  David Ríos Insua,et al.  Sensitivity analysis in multi-objective decision making , 1990 .

[31]  G. W. Sears,et al.  Executive Decisions and Operations Research , 1962 .

[32]  Lian Wang,et al.  Analytic hierarchy process based on data flow diagram , 1991 .

[33]  Evangelos Triantaphyllou,et al.  An evaluation of the eigenvalue approach for determining the membership values in fuzzy sets , 1990 .