Abstract
In a recent paper we found an analytical formula for the constrained ordered weighted aggregation problem (OWA) when we need to maximize the objective function. In this note we prove that the method works in the case when we need to minimize the objective function. If in the case of the maximization problem we need to rearrange the coefficients in the constrained in nondecreasing order, for the nontrivial minimization problem, it suffice to rearrange them in nonincreasing order.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Carlsson, C., Fullér, R., Majlender, P.: A note on constrained OWA aggregation. Fuzzy Sets Syst. 139, 543–546 (2003)
Coroianu, L., Fullér, R.: On the constrained OWA aggregation problem with single constraint. Fuzzy Sets Syst. 332, 37–43 (2018)
Emrouznejad, A., Marra, M.: Ordered weighted averaging operators 1988–2014: a citation-based literature survey. Int. J. Intell. Syst. 29, 994–1014 (2014)
Nguyen, T.H.: Maximal entropy and minimal variability OWA operators weights: a short survey of recent developments. arXiv preprint arXiv:1804.06331 (2018). arxiv.org
Ogryczak, W., Śliwiński, T.: On efficient WOWA optimization for decision support under risk. Int. J. Approximate Reasoning 50, 915–928 (2009)
Ogryczak, W., Śliwiński, T.: On solving linear programs with the ordered weighted averaging objective. Eur. J. Oper. Res. 148, 80–91 (2003)
Yagger, R.R.: Constrained OWA aggregation. Fuzzy Sets Syst. 81, 89–101 (1996)
Yagger, R.R.: On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans. Syst. Man Cybern. 18, 183–190 (1988)
Acknowledgement
The contribution of Lucian Coroianu was supported by a grant of Ministry of Research and Innovation, CNCS-UEFISCDI, project number PN-III-P1-1.1-PD-2016-1416, within PNCDI III.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Coroianu, L., Fullér, R. (2019). Minimum of Constrained OWA Aggregation Problem with a Single Constraint. In: Fullér, R., Giove, S., Masulli, F. (eds) Fuzzy Logic and Applications. WILF 2018. Lecture Notes in Computer Science(), vol 11291. Springer, Cham. https://doi.org/10.1007/978-3-030-12544-8_15
Download citation
DOI: https://doi.org/10.1007/978-3-030-12544-8_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-12543-1
Online ISBN: 978-3-030-12544-8
eBook Packages: Computer ScienceComputer Science (R0)