Skip to main content
Top
Published in: Soft Computing 4/2010

01-02-2010 | Original Paper

SAS/OWA: ordered weighted averaging in SAS optimization

Author: Ali Emrouznejad

Published in: Soft Computing | Issue 4/2010

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper explores the use of the optimization procedures in SAS/OR software with application to the ordered weight averaging (OWA) operators of decision-making units (DMUs). OWA was originally introduced by Yager (IEEE Trans Syst Man Cybern 18(1):183–190, 1988) has gained much interest among researchers, hence many applications such as in the areas of decision making, expert systems, data mining, approximate reasoning, fuzzy system and control have been proposed. On the other hand, the SAS is powerful software and it is capable of running various optimization tools such as linear and non-linear programming with all type of constraints. To facilitate the use of OWA operator by SAS users, a code was implemented. The SAS macro developed in this paper selects the criteria and alternatives from a SAS dataset and calculates a set of OWA weights. An example is given to illustrate the features of SAS/OWA software.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Footnotes
1
This software is available at http://​www.​OWAzone.​com/​sasowa
 
Literature
go back to reference Amin GR (2007) Notes on properties of the OWA weights determination model. Comput Ind Eng 52(4):533–553CrossRef Amin GR (2007) Notes on properties of the OWA weights determination model. Comput Ind Eng 52(4):533–553CrossRef
go back to reference Amin GR, Emrouznejad A (2006) An extended minimax disparity to determine the OWA operator weights. Comput Ind Eng 50(3):312–316CrossRef Amin GR, Emrouznejad A (2006) An extended minimax disparity to determine the OWA operator weights. Comput Ind Eng 50(3):312–316CrossRef
go back to reference Basile Luciano, D’Apuzzo Livia (2006) Transitive matrices, strict preference order and ordinal evaluation operators. Soft Comput 10(10):933–940MATHCrossRef Basile Luciano, D’Apuzzo Livia (2006) Transitive matrices, strict preference order and ordinal evaluation operators. Soft Comput 10(10):933–940MATHCrossRef
go back to reference Ben-Arieh D (2005) Sensitivity of multi-criteria decision making to linguistic quantifiers and aggregation means. Comput Ind Eng 48(2):289–309CrossRef Ben-Arieh D (2005) Sensitivity of multi-criteria decision making to linguistic quantifiers and aggregation means. Comput Ind Eng 48(2):289–309CrossRef
go back to reference Chakraborty C, Chakraborty D (2004) A decision scheme based on OWA operator for an evaluation programme: an approximate reasoning approach. Appl Soft Comput 5(1):45–53CrossRef Chakraborty C, Chakraborty D (2004) A decision scheme based on OWA operator for an evaluation programme: an approximate reasoning approach. Appl Soft Comput 5(1):45–53CrossRef
go back to reference Chakraborty C, Chakraborty D (2007) A fuzzy clustering methodology for linguistic opinions in group decision making. Appl Soft Comput 7(3):858–869CrossRef Chakraborty C, Chakraborty D (2007) A fuzzy clustering methodology for linguistic opinions in group decision making. Appl Soft Comput 7(3):858–869CrossRef
go back to reference Chang J-R, Ho T-H, Cheng C-H, Chen A-P (2006) Dynamic fuzzy OWA model for group multiple criteria decision making. Soft Comput 10:543–554CrossRef Chang J-R, Ho T-H, Cheng C-H, Chen A-P (2006) Dynamic fuzzy OWA model for group multiple criteria decision making. Soft Comput 10:543–554CrossRef
go back to reference Cohen Marc-David, Meanor Phil (1995) QSIM application discrete event queuing simulation, release 6.11. SAS Institute Inc, Cary Cohen Marc-David, Meanor Phil (1995) QSIM application discrete event queuing simulation, release 6.11. SAS Institute Inc, Cary
go back to reference Cook WD, Kress M (1990) A data envelopment model for aggregating preference rankings. Manage Sci 36(11):1302–1310MATHCrossRef Cook WD, Kress M (1990) A data envelopment model for aggregating preference rankings. Manage Sci 36(11):1302–1310MATHCrossRef
go back to reference Eklund P, Klawonn F (1992) Neural fuzzy logic programming. IEEE Trans Neural Netw 3:815–819CrossRef Eklund P, Klawonn F (1992) Neural fuzzy logic programming. IEEE Trans Neural Netw 3:815–819CrossRef
go back to reference Emrouznejad A (2000) An extension to SAS/OR for decision system support. SAS Users Group International. 25th Annual Conference, Indiana Convention Centre Indianapolis, IN, USA Emrouznejad A (2000) An extension to SAS/OR for decision system support. SAS Users Group International. 25th Annual Conference, Indiana Convention Centre Indianapolis, IN, USA
go back to reference Emrouznejad A (2002) A SAS application for measuring efficiency and productivity of decision making units. In: Proceeding of the 27th SAS International Conference, USA, pp 259–227 Emrouznejad A (2002) A SAS application for measuring efficiency and productivity of decision making units. In: Proceeding of the 27th SAS International Conference, USA, pp 259–227
go back to reference Emrouznejad A (2005) Measurement efficiency and productivity in SAS/OR. Comput Oper Res 32(7):1665–1683MATHCrossRef Emrouznejad A (2005) Measurement efficiency and productivity in SAS/OR. Comput Oper Res 32(7):1665–1683MATHCrossRef
go back to reference Emrouznejad A, Parker BR, Tavares G (2008) Evaluation of research in efficiency and productivity: a survey and analysis of the first 30 years of scholarly literature in DEA. Socioecon Plann 42(3):151–157CrossRef Emrouznejad A, Parker BR, Tavares G (2008) Evaluation of research in efficiency and productivity: a survey and analysis of the first 30 years of scholarly literature in DEA. Socioecon Plann 42(3):151–157CrossRef
go back to reference Green RH, Doyle JR, Cook WD (1996) Preference voting and project ranking using DEA and cross-evaluation. Eur J Oper Res 90(3):461–472MATHCrossRef Green RH, Doyle JR, Cook WD (1996) Preference voting and project ranking using DEA and cross-evaluation. Eur J Oper Res 90(3):461–472MATHCrossRef
go back to reference Herrera-Viedma E, Cordón O, Luque M, Lopez AG, Muñoz AM (2003) A model of fuzzy linguistic IRS based on multi-granular linguistic information. Int J Approx Reason 34(2–3):221–239MATHCrossRef Herrera-Viedma E, Cordón O, Luque M, Lopez AG, Muñoz AM (2003) A model of fuzzy linguistic IRS based on multi-granular linguistic information. Int J Approx Reason 34(2–3):221–239MATHCrossRef
go back to reference Ho W, Emrouznejad A (2009) Multi-criteria logistics distribution network design using SAS/OR. Expert Syst Appl 36(3):7288–7298CrossRef Ho W, Emrouznejad A (2009) Multi-criteria logistics distribution network design using SAS/OR. Expert Syst Appl 36(3):7288–7298CrossRef
go back to reference Hughes Ed., Kearney T (2007) Optimization with SAS/OR®: What it is, what’s new, and how it adds value. In: Proceedings of SAS Global Forum 33, SAS Institute Inc., Cary, NC Hughes Ed., Kearney T (2007) Optimization with SAS/OR®: What it is, what’s new, and how it adds value. In: Proceedings of SAS Global Forum 33, SAS Institute Inc., Cary, NC
go back to reference Kacprzyk J, Zadrozny S (2001) Computing with words in intelligent database querying: standalone and internet-based applications. Inf Sci 134(1):71–109MATHCrossRef Kacprzyk J, Zadrozny S (2001) Computing with words in intelligent database querying: standalone and internet-based applications. Inf Sci 134(1):71–109MATHCrossRef
go back to reference Kearney T (1999) Advances in mathematical programming and optimisation in the SAS system, SUGI24 proceedings. SAS Institute Inc, Cary, NC Kearney T (1999) Advances in mathematical programming and optimisation in the SAS system, SUGI24 proceedings. SAS Institute Inc, Cary, NC
go back to reference Liu X (2006) On the properties of equidifferent OWA operator. Int J Approx Reason 43(1):90–107MATHCrossRef Liu X (2006) On the properties of equidifferent OWA operator. Int J Approx Reason 43(1):90–107MATHCrossRef
go back to reference Liu X, Han Sh (2008) Orness and parameterized RIM quantifier aggregation with OWA operators: a summary. Int J Approx Reason 48(1):598–627CrossRefMathSciNet Liu X, Han Sh (2008) Orness and parameterized RIM quantifier aggregation with OWA operators: a summary. Int J Approx Reason 48(1):598–627CrossRefMathSciNet
go back to reference O’Hagan M (1988) Aggregating template or rule antecedents in real-time expert systems with fuzzy set. In: Grove P (ed) Proceedings of 22nd Annual IEEE Asilomar Conference on Signals, Systems, Computers, CA, pp 681–689 O’Hagan M (1988) Aggregating template or rule antecedents in real-time expert systems with fuzzy set. In: Grove P (ed) Proceedings of 22nd Annual IEEE Asilomar Conference on Signals, Systems, Computers, CA, pp 681–689
go back to reference SAS Institute Inc. (2005) SAS/OR user’s guide, project management. SAS Institute Inc, Cary SAS Institute Inc. (2005) SAS/OR user’s guide, project management. SAS Institute Inc, Cary
go back to reference SAS Institute Inc (2007) SAS/OR user’s guide: mathematical programming SAS Institute Inc (2007) SAS/OR user’s guide: mathematical programming
go back to reference Wang J-W, Chang J-R, Cheng C-H (2006) Flexible fuzzy OWA querying method for hemodialysis database. Soft Comput 10(11):1031–1042CrossRef Wang J-W, Chang J-R, Cheng C-H (2006) Flexible fuzzy OWA querying method for hemodialysis database. Soft Comput 10(11):1031–1042CrossRef
go back to reference Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190MATHCrossRefMathSciNet Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190MATHCrossRefMathSciNet
go back to reference Yager RR (1999) Nonmonotonic OWA operators. Soft Comput 3(3):187–196 Yager RR (1999) Nonmonotonic OWA operators. Soft Comput 3(3):187–196
go back to reference Yager RR (2004) OWA aggregation over a continuous interval argument with applications to decision making. IEEE Trans Syst Man Cybern Part B 34(5):1952–1963CrossRef Yager RR (2004) OWA aggregation over a continuous interval argument with applications to decision making. IEEE Trans Syst Man Cybern Part B 34(5):1952–1963CrossRef
go back to reference Yager RR, Kacprzyk J (1997) The ordered eeighted averaging operators—theory and applications. Kluwer Academic Publishers, Boston Yager RR, Kacprzyk J (1997) The ordered eeighted averaging operators—theory and applications. Kluwer Academic Publishers, Boston
go back to reference Yager RR, Kreinovich V (1997) Using robust optimization to play against an imperfect. Opponent. Soft Comput 1:69–80 Yager RR, Kreinovich V (1997) Using robust optimization to play against an imperfect. Opponent. Soft Comput 1:69–80
go back to reference Yager RR, Kreinovich Vladik (1999) On how to merge sorted lists coming from different web search tools. Soft Comput 3(2):83–88 Yager RR, Kreinovich Vladik (1999) On how to merge sorted lists coming from different web search tools. Soft Comput 3(2):83–88
Metadata
Title
SAS/OWA: ordered weighted averaging in SAS optimization
Author
Ali Emrouznejad
Publication date
01-02-2010
Publisher
Springer-Verlag
Published in
Soft Computing / Issue 4/2010
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-009-0411-7

Other articles of this Issue 4/2010

Soft Computing 4/2010 Go to the issue

Premium Partner