Nothing Special   »   [go: up one dir, main page]

skip to main content
article

A new preference scale of intuitionistic fuzzy analytic hierarchy process in multi-criteria decision making problems

Published: 01 March 2014 Publication History

Abstract

Analytic Hierarchy Process AHP is a tool of decision making technique which complies with complex decision making in any kind of situations. AHP deals with structuring the hierarchical layer to perform the preference judgement of each criterion and alternatives in multi-criteria decision making MCDM problems. The sequence of AHP structure unfortunately lack of certainty as the evaluation consists of vagueness. Thus, the theory of intuitionistic fuzzy sets IFS is integrated with AHP method to deal with these uncertainty and vagueness of the AHP preference judgement. The aim of this paper is to propose a new intuitionistic fuzzy analytic hierarchy process IF-AHP method characterised by new preference scale of pair-wise comparison matrix measurement. The new preference scale considers the degree of hesitation of IFS in expressing the conversion of consistency to a triangular intuitionistic fuzzy numbers TIFNs. The values of hesitation degree are averaged to test consistency of matrix judgment. The intuitionistic fuzzy weighted averaging IFWA is utilized to aggregate the matrix assessment of the decision makers DMs into a group opinion. Modified intuitionistic fuzzy entropy is used to obtain the entropy weights of each criterion and alternatives. Three MCDM problems were used to illustrate the proposed method. It is found the ranking of MCDM problems using the proposed method were slightly inconsistent with the original ranking.

References

[1]
A. Pankowska and M. Wygralak, General IF-sets with triangular norms and their applications to group decision making, Information Sciences 176(18) (2006), 2713-2754.
[2]
A. Hambali, S.S. Mohd, I. Napsiah and Y. Nukman, Use of Analytic Hierarchy Process (AHP) for selecting the best design concept, Jurnal Teknologi 49(A) (2008), 1-8.
[3]
C.-H. Cheng, Evaluating naval tactical missile system by fuzzy AHP based on grade value of membership function, European Journal of Operational Research 96(2) (1996), 343-350.
[4]
D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.
[5]
D.F. Li, A ratio ranking method of triangular Intuitionistic Fuzzy Numbers and its application to MADM problems, Journal of Computer and Mathematics with Application 60 (2010), 1557-1570.
[6]
F.T.S. Chan and N. Kumar, Global supplier development considering risk factors using fuzzy extended AHP-based approach, Omega 35 (2007), 417-731.
[7]
F.E. Boran, S. Genc, M. Kurt and D. Akay, A Multicriteria Intuitionistic fuzzy group decision making for supplier selection with TOPSIS method, Expert System with Applications 36(8) (2009), 11363-11368.
[8]
G. Zulal, S. Gurkan and E.K. Saadettin, A fuzzy AHP approach to personnel selection problem, Applied Soft Computing 9 (2009), 641-646.
[9]
I.K. Vlashos and G.D. Sergiadis, Intuitionistic fuzzy information - Applications to pattern recognition, Pattern Recognition Letters 28 (2007), 197-206.
[10]
J.J. Buckley, Fuzzy hierarchical analysis, Fuzzy Sets and System 17(3) (1985), 233-247.
[11]
J.M. Merigo and M. Casanovas, The uncertain generalized OWA operator and its application to financial, International Journal of Information Technology & Decision Making 10 (2011), 211-230.
[12]
K.T. Atanasov, Intuitionistic fuzzy sets, Fuzzy Sets and System 20(1) (1986), 87-96.
[13]
L.A. Zadeh, Fuzzy Sets, Information and Control 8 (1965), 338-353.
[14]
L. Abdullah, J. Sunadia and T. Imran, A New Analytic hierarchy process in multi-attribute group decision making, International Journal of Soft Computing 4(5) (2009), 208-214.
[15]
M.A. Hersh, Mathematical modelling for sustainable development, Springer-Verlag, Berlin Heidelberg, Germany, 2006.
[16]
O. Cakir and M.S. Canbolat, A web-based decision support system for multi - criteria inventory classification using fuzzy ahp methodology, Expert Systems with Applications 35 (2008), 1367-1378.
[17]
P.J.M. Laarhoven and W. Pedrycz, A fuzzy extension of Saaty's priority theory, Fuzzy Sets and Systems 11(1-3) (1983), 229-241.
[18]
P. Grzegorzewski and E. Mrówka, E, Some notes on (Atanassov's) intuitionistic fuzzy sets, Fuzzy Sets and Systems 156(3) (2005), 492-495.
[19]
P. Liu, X. Zhang and F. Jin, A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators, Journal of Intelligent and Fuzzy Systems 23(5) (2012), 159-168.
[20]
P. Liu and Y. Su, Multiple attribute decision making method based on the trapezoid fuzzy linguistic hybrid harmonic averaging operator, Informatica 36 (2012), 83-90.
[21]
S. Rehan and T. Solomon, Environmental decision making under uncertainty using Intuitionistic Fuzzy Analytic Hierarchy Process (IF-AHP), Stoch Environ Res Risk Assess 23 (2009), 75-91.
[22]
S.F. Zhang and S.Y. Liu, A GRA-based Intuitionistic Fuzzy Multi-criteria group decision making method for personnel selection, Experts Systems with Application 38 (2011), 11401-11405.
[23]
S.-P. Wan and D.-F. Li, Fuzzy LINMAP approach to heterogeneous MADM considering comparisons of alternatives with hesitation degrees, Omega 41(6) (2013), 925-940.
[24]
T. Chaira and A.K. Ray, A new measure using intuitionistic fuzzy set theory and its application to edge detection, Applied Soft Computing 8(2) (2008), 919-927.
[25]
T.L. Saaty, A scaling method for priorities in hierarchical structures, Journal of Mathematical Psychology 15 (1977), 234-281.
[26]
T.L. Saaty, The Analytic Hierarchy Process, McGraw-Hill Book Co, New York, 1980.
[27]
T.L. Saaty, How to make decision: The Analytic Hierarchy Process, European Journal of Operational Research 48 (1990), 9-26.
[28]
W. Jian, and C. Qing-wei, An intuitionistic fuzzy AHP based multi-criteria group decision making approach, unpublished manuscript draft. http://www.editorialmanager.com/ijitdm/download.aspx?id=9472&guid=e7dba752-75ea-41aeab29- c2261e304a5e&scheme=1
[29]
W. Hai, Q. Gang and F. Xiangqian, An Intuitionistic Fuzzy AHP based on synthesis of eigenvectors and its application, Information Technology Journal 10(10) (2011), 1850-1866.
[30]
Y. Peng, G. Kou, G.X. Wang and W.S. Wu, Ensemble of software defect predictors: An AHP-based evolution method, International Journal of Information Technology & Decision Making 10 (2011), 187-206.
[31]
Z.S. Xu, Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems 15 (2007), 1179-1187.
[32]
Z.S. Xu, Approach to multi-stage multi-attribute group decision making, International Journal of Information Technology & Decision Making 10 (2011), 121-146.

Cited By

View all
  • (2020)Investor sentiment index based on intuitionistic fuzzy analytic network process method and empirical analysisJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-19031839:1(19-34)Online publication date: 1-Jan-2020
  • (2018)A new hybrid intuitionistic approach for new product selectionSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-017-2517-722:8(2633-2640)Online publication date: 1-Apr-2018
  • (2017)Application of a new combined intuitionistic fuzzy MCDM approach based on axiomatic design methodology for the supplier selection problemApplied Soft Computing10.1016/j.asoc.2016.08.05152:C(1222-1238)Online publication date: 1-Mar-2017
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology  Volume 26, Issue 2
March 2014
532 pages

Publisher

IOS Press

Netherlands

Publication History

Published: 01 March 2014

Author Tags

  1. Analytic Hierarchy Process
  2. Consistency Ratio
  3. Hesitation Degree
  4. Intuitionistic Fuzzy Sets
  5. Preference Scale

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 21 Dec 2024

Other Metrics

Citations

Cited By

View all
  • (2020)Investor sentiment index based on intuitionistic fuzzy analytic network process method and empirical analysisJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-19031839:1(19-34)Online publication date: 1-Jan-2020
  • (2018)A new hybrid intuitionistic approach for new product selectionSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-017-2517-722:8(2633-2640)Online publication date: 1-Apr-2018
  • (2017)Application of a new combined intuitionistic fuzzy MCDM approach based on axiomatic design methodology for the supplier selection problemApplied Soft Computing10.1016/j.asoc.2016.08.05152:C(1222-1238)Online publication date: 1-Mar-2017
  • (2016)A new integrated intuitionistic fuzzy group decision making approach for product development partner selectionComputers and Industrial Engineering10.1016/j.cie.2016.05.038102:C(383-395)Online publication date: 1-Dec-2016
  • (2016)A new preference scale mcdm method based on interval-valued intuitionistic fuzzy sets and the analytic hierarchy processSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-014-1519-y20:2(511-523)Online publication date: 1-Feb-2016
  • (2015)Managing risk for business processesJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/IFS-15197529:6(2717-2726)Online publication date: 20-Nov-2015
  • (2015)Fuzzy multiple criteria decision-making techniques and applications - Two decades review from 1994 to 2014Expert Systems with Applications: An International Journal10.1016/j.eswa.2015.01.00342:8(4126-4148)Online publication date: 15-May-2015
  • (undefined)An application of intuitionistic fuzzy TOPSIS on mobile phone selection2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)10.1109/FUZZ-IEEE.2015.7337915(1-8)

View Options

View options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media