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New Trends in Preference, Utility, and Choice: From a Mono-approach to a Multi-approach Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Advances and New Orientations in Goal Programming

Authors : Dylan Jones, Carlos Romero

Published in: New Perspectives in Multiple Criteria Decision Making

Publisher: Springer International Publishing

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Abstract

This chapter starts by providing a categorization of current goal programming literature by type of variant used. Subsequently, goal programming is presented as a secondary model of a general p-metric distance function primary model. This orientation allows us to link goal programming with several fields like the determination of social choice functions or the interpretation and implementation of the Simonian concepts of bounded rationality and “satisficing”. To undertake the latter task, this epistemic framework is understood as a Laudian “Research Tradition” instead of the usual understanding as a scientific theory. Finally, potential future developments to expand the use and flexibility of goal programming as well as to explore possible logical connections of goal programming with other decision-making areas are highlighted.

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previous chapter New Directions in Ordinal Evaluation: Sugeno Integrals and Beyond
next chapter Robust Goal Programming with Interactive Fuzzy Coefficients
Footnotes
1
For the epistemological issues underlying the concepts of primary and secondary models and their respective links and problems of logic reductions see Nagel (1961), chapter 11 and especially pages 336–354.
 
2
The pioneers of linking the Simonian satisficing philosophy with goal programming are Lee (1972) and Ignizio (1976). An attempt of axiomatization of this interpretation of bounded rationality and satisficing, can be seen in González-Pachón and Romero (2004)
 
3
The reason for the incompatibility between lexicographic orderings and utility functions is the non-continuity of preferences inherent to a lexicographic structure of preferences. Albeit, the continuity of preferences is neither a fact nor a hypothesis corroborated by empirical evidence but just a non-falsifiable assumption necessary to axiomatize the neoclassical consumption theory (see e.g., Deaton and Muellbauer 1986, p. 27).
 
4
Expression (16) represents in mathematical terms the “Second Principle of Justice” proposed by Rawls (1971, pp. 65–75).
 
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Metadata
Title
Advances and New Orientations in Goal Programming
Authors
Dylan Jones
Carlos Romero
Copyright Year
2019
Book
New Perspectives in Multiple Criteria Decision Making

Print ISBN: 978-3-030-11481-7

Electronic ISBN: 978-3-030-11482-4

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-11482-4_8