On Practical Applicability of the Generalized Averaging Operator in Fuzzy Decision Making

Many different types of aggregation operators have been suggested as decision functions for multicriteria fuzzy decision making. This paper investigates the practical applicability of generalized averaging operator as decision functions in modeling human decision behavior. Previously published numerical data is used in the analysis and the results are compared with those obtained from compensatory operators. The numerical data suggests that the generalized averaging operator may be used for modeling human decision behavior.

[1]  H. R. van Nauta Lemke,et al.  A Characteristic Optimism Factor in Fuzzy Decision-Making , 1983 .

[2]  M. Mizumoto Pictorial representations of fuzzy connectives, Part II: cases of compensatory operators and self-dual operators , 1989 .

[3]  Uzay Kaymak,et al.  Fuzzy decision making with control applications , 1998 .

[4]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[5]  J. Dombi Basic concepts for a theory of evaluation: The aggregative operator , 1982 .

[6]  R. Yager Fuzzy decision making including unequal objectives , 1978 .

[7]  Joonwhoan Lee,et al.  Fuzzy-connective-based hierarchical aggregation networks for decision making , 1992 .

[8]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[9]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[10]  Boris Kovalerchuk,et al.  Comparison of empirical and computed values of fuzzy conjunction , 1992 .

[11]  Nils Brunsson My own book review : The Irrational Organization , 2014 .

[12]  H. Zimmermann,et al.  On the suitability of minimum and product operators for the intersection of fuzzy sets , 1979 .

[13]  Erich-Peter Klement,et al.  Operations on fuzzy sets - an axiomatic approach , 1982, Inf. Sci..

[14]  M. Mizumoto Pictorial representations of fuzzy connectives, part I: cases of t-norms, t-conorms and averaging operators , 1989 .

[15]  Uzay Kaymak,et al.  A sensitivity analysis approach to introducing weight factors into decision functions in fuzzy multicriteria decision making , 1998, Fuzzy Sets Syst..

[16]  Hung T. Nguyen,et al.  Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference , 1994 .

[17]  H. Zimmermann Fuzzy sets, decision making, and expert systems , 1987 .

[18]  Gleb Beliakov,et al.  Aggregation Functions: A Guide for Practitioners , 2007, Studies in Fuzziness and Soft Computing.

[19]  Ronald R. Yager,et al.  A measurement-informational discussion of fuzzy union and intersection , 1979 .

[20]  Didier Dubois,et al.  Possibility Theory - An Approach to Computerized Processing of Uncertainty , 1988 .

[21]  Hans-Jürgen Zimmermann,et al.  Fuzzy Set Theory - and Its Applications , 1985 .

[22]  H. Zimmermann,et al.  Latent connectives in human decision making , 1980 .

[23]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[24]  Uzay Kaymak,et al.  Fuzzy Decision Making in Modeling and Control , 2002, World Scientific Series in Robotics and Intelligent Systems.

[25]  M. Grabisch Fuzzy integral in multicriteria decision making , 1995 .

[26]  W. Pedrycz,et al.  Generalized means as model of compensative connectives , 1984 .

[27]  S. Ovchinnikov On Robust Aggregation Procedures , 1998 .

[28]  Hans J. Zimmermann,et al.  Results of Empirical Studies in Fuzzy Set Theory , 1978 .

[29]  Didier Dubois,et al.  A review of fuzzy set aggregation connectives , 1985, Inf. Sci..

[30]  R. Yager On a general class of fuzzy connectives , 1980 .

[31]  K. Kim,et al.  Ranking fuzzy numbers with index of optimism , 1990 .