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Generalized desirability functions: a structural and topological analysis of desirability functions
Date
2020-01-02
Author
Akteke-Öztürk, Başak
Weber, Gerhard-Wilhelm
Köksal, Gülser
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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<p>We have Derringer and Suich’s desirability functions in mind, especially, the two-sided ones in our analysis throughout this study. We propose and develop a finite partitioning procedure of the individual desirability functions over their compact and connected interval which leads to the definition of generalized desirability functions. We call the negative logarithm of an individual desirability function having a max-type structure and including a finite number of nondifferentiable points as a generalized individual desirability function. By introducing continuous selection functions into desirability functions and, especially, employing piecewise max-type functions, it is possible to describe some structural and topological properties of these generalized functions. Our aim with this generalization is to show the mechanism that gives rise to a variation and extension in the structure of functions used in classical desirability approaches.<br></p>
Subject Keywords
Management Science and Operations Research
,
Control and Optimization
,
Applied Mathematics
URI
https://hdl.handle.net/11511/36214
Journal
Optimization
DOI
https://doi.org/10.1080/02331934.2019.1570192
Collections
Department of Industrial Engineering, Article