Fuzzy measure theoretical approach to screening product innovations

Variety of decision models have been proposed in contemporary literature to tackle the problem of screening product innovations. Although linear models have gained considerable attention and recommendation, contemporary literature contains strong evidence in support of nonlinear noncompensatory models. In this paper, the authors first demonstrate how fuzzy measures, which are defined on subsets of decision attributes, and their Choquet-integral formulation, which exhibits both compensatory and noncompensatory properties, have meaningful behavioral interpretations within the context of new-product screening. Then, they show how to address the complex problem of building such measures by applying a learning algorithm that relies on methods of judgment analysis. An accompanying case study demonstrates how organizations may customize a new product decision aid and fine tune their business strategy as actual results accrue. Finally, the authors present the results of analytical studies to compare the Choquet-integral model with other noncompensatory models, such as Martino's extended scoring model and Einhorn's conjunctive model, and heuristic approaches, such as Tversky's EBA and the lexicographic method. For the new-product-decision scenario considered in the study, the Choquet-integral model provided the best fit, measured by Pearson's rank order correlation coefficient, with all of the competing models

[1]  Michel Grabisch,et al.  A new algorithm for identifying fuzzy measures and its application to pattern recognition , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[2]  Ray W. Cooksey,et al.  Judgment analysis : theory, methods, and applications , 1996 .

[3]  Marc Roubens Ordinal Multiattribute Sorting and Ordering in the Presence of Interacting Points of View , 2002 .

[4]  Michio Sugeno,et al.  Choquet Integral Models and Independence Concepts in Multiattribute Utility Theory , 2000, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[5]  Derek B. Dove,et al.  Development and application of a new tool for lithographic mask evaluation, the stepper equivalent Aerial Image Measurement System, AIMS , 1997, IBM J. Res. Dev..

[6]  Sudha Ram,et al.  Expert systems: An emerging technology for selecting new product winners , 1989 .

[7]  Michel Grabisch,et al.  The representation of importance and interaction of features by fuzzy measures , 1996, Pattern Recognit. Lett..

[8]  Divakaran Liginlal,et al.  On policy capturing with fuzzy measures , 2005, Eur. J. Oper. Res..

[9]  Prabir Bhattacharya,et al.  A fuzzy-logic-based approach to project selection , 2000, IEEE Trans. Engineering Management.

[10]  Norman R. Baker,et al.  Economic Models for R and D Project Selection in the Presence of Project Interactions , 1984 .

[11]  A. Bárdossy,et al.  Combination of fuzzy numbers representing expert opinions , 1993 .

[12]  R. Cooper,et al.  New Product Portfolio Management : Practices and Performance , 1999 .

[13]  J. Elashoff,et al.  Multiple Regression in Behavioral Research. , 1975 .

[14]  C. C. Waid,et al.  An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models , 1982 .

[15]  Thomas R. Stewart,et al.  A comparison of seven methods for obtaining subjective descriptions of judgmental policy , 1975 .

[16]  Jean-Luc Marichal,et al.  Dependence between criteria and multiple criteria decision aid , 1998 .

[17]  Jean-Luc Marichal,et al.  An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria , 2000, IEEE Trans. Fuzzy Syst..

[18]  Sudha Ram,et al.  Design and validation of a knowledge-based system for screening product innovations , 1996, IEEE Trans. Syst. Man Cybern. Part A.

[19]  Denis Borenstein,et al.  Towards a practical method to validate decision support systems , 1998, Decis. Support Syst..

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

[21]  D. Dubois,et al.  Social choice axioms for fuzzy set aggregation , 1991 .

[22]  Michio Sugeno,et al.  A study on subjective evaluations of printed color images , 1991, Int. J. Approx. Reason..

[23]  Divakaran Liginlal,et al.  Building fuzzy front-end decision support systems for new product information in global telecommunication markets: a measure theoretical approach , 1999 .

[24]  Christophe Labreuche,et al.  The Choquet integral for the aggregation of interval scales in multicriteria decision making , 2003, Fuzzy Sets Syst..

[25]  G. Assmus New product forecasting , 1984 .

[26]  George J. Klir,et al.  Constructing fuzzy measures in expert systems , 1997, Fuzzy Sets Syst..

[27]  H. J. Einhorn The use of nonlinear, noncompensatory models in decision making. , 1970, Psychological bulletin.

[28]  R. Cooper The newprod system: The industry experience , 1992 .

[29]  Michio Sugeno,et al.  A Hierarchical Decomposition of Choquet integral Model , 1995, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[30]  Michel Grabisch,et al.  K-order Additive Discrete Fuzzy Measures and Their Representation , 1997, Fuzzy Sets Syst..

[31]  Christian Stummer,et al.  Interactive R&D portfolio analysis with project interdependencies and time profiles of multiple objectives , 2003, IEEE Trans. Engineering Management.

[32]  Michael T. Brannick,et al.  Nonlinear and noncompensatory processes in performance evaluation , 1989 .

[33]  David Schmeidleis SUBJECTIVE PROBABILITY AND EXPECTED UTILITY WITHOUT ADDITIVITY , 1989 .

[34]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[35]  John R. Moore,et al.  Computational Analysis of Scoring Models for R and D Project Selection , 1969 .

[36]  A. Tversky Elimination by aspects: A theory of choice. , 1972 .

[37]  Arvind Rangaswamy,et al.  Software Tools for New Product Development , 1997 .

[38]  Adrien Presley,et al.  R&D project selection using the analytic network process , 2002, IEEE Trans. Engineering Management.

[39]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .

[40]  A. D. Henriksen,et al.  A practical R&D project-selection scoring tool , 1999 .

[41]  Wang Zhenyuan,et al.  FUZZY MEASURES AND FUZZY INTEGRALS: AN OVERVIEW , 1990 .

[42]  Ching-Torng Lin,et al.  A fuzzy-logic-based approach for new product Go/NoGo decision at the front end , 2004, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[43]  Michel Grabisch,et al.  Relating decision under uncertainty and multicriteria decision making models , 2000, Int. J. Intell. Syst..

[44]  Ruth C. King,et al.  Nonlinear and Noncompensatory Models in User Information Satisfaction Measurement , 1999, Inf. Syst. Res..

[45]  Alan W. Pearson,et al.  Analysis of some portfolio selection models for R&D , 1971 .

[46]  O. Larichev Cognitive validity in design of decision‐aiding techniques , 1992 .

[47]  Lewis R. Goldberg,et al.  Five models of clinical judgment: An empirical comparison between linear and nonlinear representations of the human inference process , 1971 .