Designer’s Preferences and Multi—objective Preliminary Design Processes

In this paper we present a method based on preference relations for transforming non—crisp (qualitative) relationships between objectives in multi—objective optimisation into quantitative attributes (i.e. numbers).This is integrated with two multi—objective genetic algorithms (GAs): weighted sums GA and a method for combining the Pareto method with weights. Examples of the preference relations application together with traditional genetic algorithms are also presented. Some complexity issues are discussed and analysed.

[1]  L. A. Goodman,et al.  Social Choice and Individual Values , 1951 .

[2]  Stephen Warshall,et al.  A Theorem on Boolean Matrices , 1962, JACM.

[3]  D. Davidson The Logic of Preference: An Essay. , 1966 .

[4]  N. Rescher The Logic of Preference , 1968 .

[5]  A. Tversky Intransitivity of preferences. , 1969 .

[6]  J. Lin Maximal vectors and multi-objective optimization , 1976 .

[7]  Timothy D. Wilson,et al.  Telling more than we can know: Verbal reports on mental processes. , 1977 .

[8]  G. Matthews Review: Alan Ross Anderson, Nuel D. Belnap., Entailment. The Logic of Relevance and Necessity. Volume I , 1977 .

[9]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[10]  C. Hwang Multiple Objective Decision Making - Methods and Applications: A State-of-the-Art Survey , 1979 .

[11]  P. Vincke Basic Concepts of Preference Modelling , 1990 .

[12]  Lorenzo Peña,et al.  Paraconsistent logic: essays on the inconsistent , 1990 .

[13]  Shirley Dex,et al.  JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .

[14]  B. Roy THE OUTRANKING APPROACH AND THE FOUNDATIONS OF ELECTRE METHODS , 1991 .

[15]  Heinz Mühlenbein,et al.  Predictive Models for the Breeder Genetic Algorithm I. Continuous Parameter Optimization , 1993, Evolutionary Computation.

[16]  Marc Roubens,et al.  Fuzzy Preference Modelling and Multicriteria Decision Support , 1994, Theory and Decision Library.

[17]  F. B. Vernadat,et al.  Decisions with Multiple Objectives: Preferences and Value Tradeoffs , 1994 .

[18]  C. Hwang,et al.  Fuzzy Multiple Objective Decision Making: Methods And Applications , 1996 .

[19]  Ian C. Parmee,et al.  Multi-objective Optimisation and Preliminary Airframe Design , 1998 .

[20]  Anthony Hunter,et al.  Paraconsistent logics , 1998 .

[21]  I. C. Parmee Adaptive Computing in Design and Manufacture , 1998 .

[22]  Peter J. Bentley,et al.  Evolutionary Design By Computers , 1999 .

[23]  Ian C. Parmee,et al.  Use of Preferences for GA-based Multi-objective Optimisation , 1999, GECCO.

[24]  Ian C. Parmee,et al.  Multiobjective Satisfaction within an Interactive Evolutionary Design Environment , 2000, Evolutionary Computation.