Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
A Survey on Location Recommendation Systems Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Intuitionistic Fuzzy PROMETHEE Technique for Multi-criteria Decision Making Problems Based on Entropy Measure

Authors : Pratibha Rani, Divya Jain

Published in: Advances in Computing and Data Sciences

Publisher: Springer Singapore

Log in

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

search-config
loading …

Abstract

Entropy measures play an important role in the field of fuzzy set theory and generalized by various authors for different purposes. In the present communication, intuitionistic fuzzy entropy measure based on sine function is developed. Further, the modified intuitionistic fuzzy PROMETHEE (IF-PROMETHEE) technique for multi-criteria decision making problems is discussed with the help of proposed entropy measure and the intuitionistic fuzzy preferences. Finally, the effectiveness of the technique is illustrated through a problem of selection of the antiretroviral drugs for HIV/AIDS to reduce the infection of HIV.

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!

inform now

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!

inform now

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!

inform now
previous chapter Emerging Technologies, Applications and Futuristic Scope of Cognitive Vehicular Network for 5G Wireless Systems
next chapter Ku Band Microstrip Rectangular Patch
Literature
1.
2.
Behzadian, M., Kazemzadeh, R.B., Albadvi, A., Aghdasi, M.: PROMETHEE: a comprehensive literature review on methodologies and applications. Eur. J. Oper. Res. 200, 198–215 (2010)CrossRefMATH
3.
Bilsel, R.U., Buyukozkan, G., Ruan, D.: A fuzzy preference ranking model for a quality evaluation of hospital Web sites. Int. J. Intell. Syst. 21, 1181–1197 (2006)CrossRefMATH
4.
Brans, J.P.: L’ingenierie de la decision; Elaboration d’intruments d’aide a la decision. La methode PROMETHEE. In: Nadeau, R., Landry, M. (eds.) L’aide a la decision: Nature, Instruments et Perspectives d’Avenir, pp. 183–213. Presses de I’Universite Laval, Quebec (1982)
5.
Brans, J.P., Mareschal, B.: PROMETHEE methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, vol. 78, pp. 163–195. Springer, New York (2005)CrossRef
6.
Brans, J.P., Mareschal, B.: PROMETHEE V - MCDM problems with segmentation constraints. INFOR 30, 85–96 (1992)MATH
7.
Brans, J.P., Mareschal, B.: The PROMETHEE VI procedure: how to differentiate hard from soft multicriteria problems. J. Decis. Syst. 4, 213–223 (1995)CrossRef
8.
Burillo, P., Bustince, H.: Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets Syst. 118, 305–316 (2001)MathSciNetMATH
9.
De Luca, A., Termini, S.: A definition of a non-probabilistic entropy in the setting of fuzzy sets theory. Inf. Control 20, 301–312 (1972)CrossRefMATH
10.
De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117, 209–213 (2001)CrossRefMATH
11.
Goumas, M., Lygerou, V.: An extension of the PROMETHEE method for decision making in fuzzy environment: ranking of alternative energy exploitation projects. Eur. J. Oper. Res. 123, 606–613 (2000)CrossRefMATH
12.
13.
Huang, G.S., Liu, Y.S.: The fuzzy entropy of vague sets based on non-fuzzy sets. Comput. Appl. Softw. 22, 16–17 (2005)
14.
Hung, W.L., Yang, M.S.: Fuzzy entropy on intuitionistic fuzzy sets. Int. J. Intell. Syst. 21, 443–451 (2006)CrossRefMATH
15.
Joshi, D., Kumar, S.: Intuitionistic fuzzy entropy and distance measure based TOPSIS method for multi-criteria decision making. Egypt. Inform. J. 15, 97–104 (2014)CrossRef
16.
Jurio, A., Paternain, D., Bustince, H., Guerra, C., Beliakov, G.: A construction method of Atanassov’s intuitionistic fuzzy sets for image processing. In: Proceedings of the Fifth IEEE Conference on Intelligent Systems, vol. 1, pp. 337–342 (2010)
17.
Le Teno, J.F., Mareschal, B.: An interval version of PROMETHEE for the comparison of building products’ design with ill-defined data on environmental quality. Eur. J. Oper. Res. 109, 522–529 (1998)CrossRefMATH
18.
Li, W.X., Li, B.Y.: An extension of the PROMETHEE II method based on generalized fuzzy numbers. Expert Syst. Appl. 37, 5314–5319 (2010)CrossRef
19.
Liao, H., Xu, Z.S.: A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optim. Decis. Making 12, 373–392 (2013)MathSciNetCrossRef
20.
Liao, H., Xu, Z.S.: Multi-criteria decision making with intuitionistic fuzzy PROMETHEE. J. Intell. Fuzzy Syst. 27, 1703–1717 (2014)MathSciNetMATH
21.
Mishra, A.R.: Intuitionistic fuzzy information measures with application in rating of township development. Iran. J. Fuzzy Syst. 13, 49–70 (2016)MathSciNetMATH
22.
Mishra, A.R., Jain, D., Hooda, D.S.: Intuitionistic fuzzy similarity and information measures with physical education teaching quality assessment. In: Satapathy, S.C., Raju, K.S., Mandal, J.K., Bhateja, V. (eds.) Proceedings of the Second International Conference on Computer and Communication Technologies. AISC, vol. 379, pp. 387–399. Springer, New Delhi (2016). doi:10.​1007/​978-81-322-2517-1_​38 CrossRef
23.
Mishra, A.R., Hooda, D.S., Jain, D.: Weighted trigonometric and hyperbolic fuzzy information measures and their applications in optimization principles. Int. J. Comput. Math. Sci. 3, 62–68 (2014)
24.
Mishra, A.R., Hooda, D.S., Jain, D.: On exponential fuzzy measures of information and discrimination. Int. J. Comput. Appl. 119, 01–07 (2015)
25.
Mishra, A.R., Jain, D., Hooda, D.S.: On fuzzy distance and induced fuzzy information measures. J. Inf. Optim. Sci. 37, 193–211 (2016)MathSciNet
26.
Mishra, A.R., Jain, D., Hooda, D.S.: On logarithmic fuzzy measures of information and discrimination. J. Inf. Optim. Sci. 37, 213–231 (2016)MathSciNet
27.
28.
Verma, R., Sharma, B.D.: Exponential entropy on intuitionistic fuzzy sets. Kybernetika 49, 114–127 (2013)MathSciNetMATH
29.
Xu, Z.S., Liao, H.C.: Intuitionistic fuzzy analytic hierarchy process. IEEE Trans. Fuzzy Syst. 22, 749–761 (2014)CrossRef
30.
Wei, C.P., Zhang, Y.: Entropy measures for interval-valued intuitionistic fuzzy sets and their application in group decision making. Math. Prob. Eng. 2015, 1–13 (2015)MathSciNet
31.
32.
Zhang, K.J., Kluck, K.J., Achari, G.: A comparative approach for ranking contaminated sites based on the risk assessment paradigm using fuzzy PROMETHEE. Environ. Manage. 44, 952–967 (2009)CrossRef
33.
Zhang, Q.S., Jiang, S.Y.: A note on information entropy measures for vague sets and its application. Inf. Sci. 178, 4184–4191 (2008)MathSciNetCrossRefMATH
Metadata
Title
Intuitionistic Fuzzy PROMETHEE Technique for Multi-criteria Decision Making Problems Based on Entropy Measure
Authors
Pratibha Rani
Divya Jain
Copyright Year
2017
Publisher
Springer Singapore
Book
Advances in Computing and Data Sciences

Print ISBN: 978-981-10-5426-6

Electronic ISBN: 978-981-10-5427-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-5427-3_31

Premium Partner

    Image Credits