Estimating the form of a decision maker's preference function and converging towards preferred solutions

Preference functions have been widely used to scalarize multiple objectives. Various forms such as linear, quasiconcave, or general monotone have been assumed. In this article, we consider a general family of functions that can take a variety of forms and has properties that allow for estimating the form efficiently. We exploit these properties to estimate the form of the function and converge towards a preferred solution(s). We develop the theory and algorithms to efficiently estimate the parameters of the function that best represent a decision maker's preferences. This in turn facilitates fast convergence to preferred solutions. We demonstrate on a variety of experiments that the algorithms work well both in estimating the form of the preference function and converging to preferred solutions.


A probabilistic approach to multi criteria sorting problem
Buğdacı, Aslı Gül; Köksalan, Murat; Department of Industrial Engineering (2009)
We aim to classify alternatives evaluated in multiple criteria among preference ordered classes assuming an underlying additive utility function. We develop a probabilistic classification method by calculating the probability of an alternative being in each class. We assign alternatives to classes based on threshold probabilities. We require the decision maker to place an alternative to a class when no alternatives satisfy the required thresholds. We find new probabilities for unassigned alternatives in the...
On the service models for dynamic scheduling of multi-class base-stock controlled systems
Kat, Bora; Avşar, Zeynep Müge; Department of Industrial Engineering (2005)
This study is on the service models for dynamic scheduling of multi-class make-to-stock systems. An exponential single-server facility processes different types of items one by one and demand arrivals for different item types occur according to independent Poisson processes. Inventories of the items are managed by base-stock policies and backordering is allowed. The objective is to minimize base-stock investments or average inventory holding costs subject to a constraint on the aggregate fill rate, which is...
Modeling the dynamics of creative industries : the case of film industries
Oruç, Sercan; Azizoğlu, Meral; Department of Industrial Engineering (2010)
Dynamic complexity occurs in every social structure. Film industry, as a type of creative industries, constitutes a dynamic environment where uncertainty is at high levels. This complexity of the environment renders the more traditional operations research models somewhat ineffective, and thus, requires a dynamic analysis. In this study, a model showing the dynamics of film exhibition is given. The interactions within and between the theatrical and the DVD sales channels are implemented by the model. Later ...
A comparison of data mining methods for prediction and classification types of quality problems
Anaklı, Zeynep; Anaklı, Zeynep; Department of Industrial Engineering (2009)
In this study, an Analytic Network Process (ANP) and Preference Ranking Organization MeTHod for Enrichment Evaluations (PROMETHEE) based approach is developed and used to compare overall performance of some commonly used classification and prediction data mining methods on quality improvement data, according to several decision criteria. Classification and prediction data mining (DM) methods are frequently used in many areas including quality improvement. Previous studies on comparison of performance of the...
The effect of inspection error on quality and producer losses: the case of nominal-the-best type quality characteristic and rework
Köksal, Gülser; Dolgun, Leman Esra; Batmaz, İnci (Inderscience Publishers, 2013-01-01)
In this study, the effect of inspection error (IE) on quality and producer losses is investigated for a nominal-the-best type quality characteristic determined by a manufacturing process centre with a separate rework unit. The probability distribution and the first two moments of the resulting quality characteristic values are derived and used together with Markov chain models and simulation to study the quality and producer losses and the related statistics for various processes and gage capability levels....
Citation Formats
G. Karakaya, “Estimating the form of a decision maker’s preference function and converging towards preferred solutions,” IISE TRANSACTIONS, pp. 651–664, 2019, Accessed: 00, 2020. [Online]. Available: