Mathematical Modeling of Decision Making: A Soft and Fuzzy Approach to Capturing Hard Decisions

Author(s):  
David W. Dorsey ◽  
Michael D. Coovert

This research focuses on a modeling approach and set of mathematical tools that were derived from research on intelligence systems, namely fuzzy system modeling. This study systematically evaluates these tools as an approach for modeling human decision making, contrasting the approach with more traditional methods based on regression. The research was conducted using experts and a simulated task environment related to allocating rewards in the form of merit pay. The results indicate that fuzzy system models generally perform as well as or better than both linear and nonlinear regression methods in terms of model fit. These results are discussed in terms of issues regarding modeling precision versus parsimony, the value of adaptive modeling techniques, empirical versus subjective approaches to model building, and individual differences in judgment strategies. Potential applications of this research include using the modeling approach studied to build higher-fidelity models that yield new insights and a better understanding of decision-making strategies and environments.

Author(s):  
Gwendolyn Elizabeth Campbell ◽  
Wendi Lynn Buff ◽  
Amy Elizabeth Bolton

While there are many different computational modeling techniques capable of predicting human decision-making outcomes, training applications require modeling techniques that are also diagnostic of human decision-making processes. Multiple linear regression, a commonly used modeling technique in Psychology, makes overly restrictive processing assumptions such as that of additivity. A relatively new modeling approach, fuzzy system modeling, bears some striking similarities to current theories of categorization and cognition. In this research, we compare the diagnostic utility of multiple linear regression to fuzzy system models. Specifically, decision-making data are modeled using either linear regression or fuzzy system models, and trainee models are compared to an expert model built with the same technique. Discrepancies between the trainee and expert models are noted and qualitative feedback is generated. The diagnostic utility of each technique is evaluated by measuring changes in performance after model-based feedback is provided to the trainees.


Author(s):  
İ. Burhan Türkşen ◽  
İbrahim Özkan

Decision under uncertainty is an active interdisciplinary research field. A decision process is generally identified as the action of choosing an alternative that best suites our needs. This process generally includes several areas of research including but not limited to Economics, Psychology, Philosophy, Mathematics, Statistics, etc. In this chapter the authors attempt to create a framework for uncertainties which surrounds the environment where human decision making takes place. For this purpose, the authors discuss how one ought to handle uncertainties within Fuzzy Logic. Furthermore, they present recent advances in Type 2 fuzzy system studies.


2015 ◽  
pp. 437-447
Author(s):  
İ. Burhan Türkşen ◽  
İbrahim Özkan

Decision under uncertainty is an active interdisciplinary research field. A decision process is generally identified as the action of choosing an alternative that best suites our needs. This process generally includes several areas of research including but not limited to Economics, Psychology, Philosophy, Mathematics, Statistics, etc. In this chapter the authors attempt to create a framework for uncertainties which surrounds the environment where human decision making takes place. For this purpose, the authors discuss how one ought to handle uncertainties within Fuzzy Logic. Furthermore, they present recent advances in Type 2 fuzzy system studies.


Fuzzy Systems ◽  
2017 ◽  
pp. 1553-1575
Author(s):  
Janez Usenik ◽  
Tit Turnsek

This chapter touches the question of how to model conflict. The discussion is limited to inter- and intra- organizational conflicts. The focus is on the behavior of the conflict in time. A working definition of conflict, named starting theory, is given. The presented models are constructed by means of system dynamics tools. A short explanation of system dynamics tools is given. Moreover, fuzzy logic and fuzzy system are introduced. Fuzzy system models human reasoning and decision making, and is integrated in the model of isolated conflict. Three models are presented, namely: the qualitative model, the model of isolated conflict, and, finally, the generic model of isolated conflict with fuzzy system. At the end, the results of a few simulation runs illustrate the use of the model.


2021 ◽  
Vol 2 (1) ◽  
pp. 222-234
Author(s):  
Darko Bozanic ◽  
◽  
Duško Tešić ◽  
Dragan Marinkovic ◽  
Aleksandar Milić ◽  
...  

In the paper is presented Neuro-Fuzzy System as a decision-making support in the selection of construction machines (the example of selecting a loader is provided). Construction characteristics of a loader make the basis for selection, but also other elements of importance. The data for Neuro-Fuzzy System modeling are prepared using the Multi-Criteria Decision Making (MCDM) methods: Logarithm Methodology of Additive Weights (LMAW), VIKOR, TOPSIS, MOORA and SAW. The paper also presents the method of aggregation of weights of rules premises (AWRP), which defines the key rules of Neuro-Fuzzy System. Finally, the training of the model is tested. The data for the selection of input variables and for model training are obtained by engaging experts.


Author(s):  
Janez Usenik ◽  
Tit Turnsek

This chapter touches the question of how to model conflict. The discussion is limited to inter- and intra- organizational conflicts. The focus is on the behavior of the conflict in time. A working definition of conflict, named starting theory, is given. The presented models are constructed by means of system dynamics tools. A short explanation of system dynamics tools is given. Moreover, fuzzy logic and fuzzy system are introduced. Fuzzy system models human reasoning and decision making, and is integrated in the model of isolated conflict. Three models are presented, namely: the qualitative model, the model of isolated conflict, and, finally, the generic model of isolated conflict with fuzzy system. At the end, the results of a few simulation runs illustrate the use of the model.


2013 ◽  
Author(s):  
Scott D. Brown ◽  
Pete Cassey ◽  
Andrew Heathcote ◽  
Roger Ratcliff

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