Fuzzy linguistic hybrid harmonic mean operator and its application to software selection

Journal of Software

Volumn 4, Issue 9, 2009, Pages 1037-1042

  Wei, Guiwu ^a   Yi, Wende ^a  

^a CHONGQING UNIVERSITY OF ARTS AND SCIENCES   (China)

Author keywords

Fuzzy linguistic hybrid harmonic mean (FLHHM) operator; Fuzzy linguistic ordered weighted harmonic mean (FLOWHM) operator; Multiple attribute group decision making; Triangular fuzzy linguistic variables

Indexed keywords

ATTRIBUTE WEIGHT; FUZZY LINGUISTIC VARIABLE; FUZZY LINGUISTICS; GROUP DECISION MAKING; HARMONIC MEAN; ILLUSTRATIVE EXAMPLES; MULTIPLE ATTRIBUTE GROUP; PRACTICAL METHOD; REAL NUMBER; SOFTWARE SELECTION;

COMPUTER SOFTWARE SELECTION AND EVALUATION; FUZZY LOGIC; HARMONIC ANALYSIS; LINGUISTICS; NUMBER THEORY; REAL VARIABLES;

DECISION MAKING;

EID: 78651565421     PISSN: 1796217X     EISSN: None     Source Type: Journal    
DOI: 10.4304/jsw.4.9.1037-1042     Document Type: Article

References (32)

1. M. Delgado, F. Herrera, "A communication model based on the 2-tuple fuzzy linguistic representation for a distributed intelligent agent system on internet", Soft Computing, Vol. 6, pp. 320-328, 2002.
2. F. Herrera, L. Martínez, "A 2-tuple fuzzy linguistic representation model for computing with words", IEEE Transactions on Fuzzy Systems, Vol 8, pp. 746-752, 2000.
3. Z. S. Xu, "Uncertain Multiple Attribute Decision Making: Methods and Applications", Beijing: Tsinghua University Press, 2004. (in Chinese)
4. Z. S. Xu, "Group decision making with triangular fuzzy linguistic variables", H. Yin et al. (Eds.): IDEAL 2007, LNCS 4881, pp.17-26.
5. Z. S. Xu, "On the method of multi-attribute group decision making under pure linguistic information", Control and Decision, Vol. 19, No. 7, pp. 778-782, 2004.
6. F. Herrera, E. Herrera-Viedma, "Linguistic decision analysis: steps for solving decision problems under linguistic information", Fuzzy Sets and systems, Vol. 115, No. 10, pp. 67-82, 2000.
7. F. Herrera, E. Herrera-Viedma, "Linguistic decision analysis: steps for solving decision problems under linguistic information", Fuzzy Sets and systems, Vol 115, No. 10, pp. 67-82, 2000.
8. th International Conference on Natural computation, Shandong, 18-20 October 2008, pp.204-208.
9. Z. S. Xu, "A method based on linguistic aggregation operators for group decision making with linguistic preference relations", Information Sciences, Vol 166, No.1, pp.19-30, 2004.
10. Z. S. Xu, "Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment", Information Science, Vol 168, pp. 171-184, 2004.
11. Z. S. Xu, "Induced Uncertain Linguistic OWA Operators Applied to Group Decision Making", Information Fusion, Vol 7, pp. 231-238, 2006.
12. Z. S. Xu, "An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations", Decision Support Systems, Vol 41, pp. 488-499, 2006.
13. P.S. Bullen, D.S. Mitrinovic and P.M. Vasic, "Means and Their inequalities", Reidel, Dordrecht, 1988.
14. J. M. Merigó, A. M. Gil-Lafuente, "The induced generalized OWA operator", Information Sciences, Vol. 179, No. 6, pp.729-941, 2009.
15. R. R. Yager, "Generalized OWA aggregation operators", Fuzzy Optimization and Decision Making, Vol. 3, pp. 93-107, 2004.
16. Z. S. Xu, Q.L. Da, "An overview of operators for aggregating information", International Journal of Intelligent Systems, Vol. 18, pp. 953-969, 2003.
17. R.R. Yager, "On ordered weighted averaging aggregation operators in multicriteria decision making", IEEE Transactions on Systems, Man, and Cybernetics, Vol. 18, pp. 183-190, 1998.
18. R.R. Yager, D.P. Filev, "Induced ordered weighted averaging operators", IEEE Transactions on Systems, Man, and Cybernetics-Part B, Vol. 29, pp. 141-150, 1999.
19. R. R. Yager, J. Kacprzyk, "The ordered weighted averaging operators: Theory and Applications", Kluwer, Boston, 1997.
20. G. W. Wei, "Uncertain linguistic hybrid geometric mean operator and its Application to group decision making under uncertain linguistic environment", International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems,Vol.17, No.2, pp.251-267, 2009.
21. G.W. Wei, Y.J. Luo, H.S. Yao, "PLWC-EOWA Operator and its Application to Decision Making under Uncertain Linguistic Setting", The Fifth Wuhan International Conference On E-Business, May, 26-28, 2006.
22. G. W. Wei, W.D. Yi, "A method for uncertain linguistic multiple attribute decision making with incomplete weight information", FSKD, pp. 422-426, Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007) Vol.2, 2007.
23. G. W. Wei, W.D. Yi, "Uncertain linguistic hybrid geometric mean operator", FSKD, pp. 497-502, Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007) Vol.2, 2007.
24. G. W. Wei, "Induced pure linguistic OWGA operator and its application to group decision making", Fuzzy Systems and Mathematics, Vol 21, No. 6, pp.115-122, 2007.
25. G. W. Wei, D. S. Huang, Y. Wei, "A method for uncertain linguistic multiple attribute decision making with preference information on alternatives", Chinese Journal of Management, Vol 4, No. 5, pp.575-579, 2007.
26. G. W. Wei, X. R. Wang. "Studying multiple attribute decision making under uncertain linguistic environment", Proceedings of the 2007 Conference on systems Science, Management Science and Systems Dynamics (SS-MS-SD 2007) Vol. 7, pp.2251-2256, 2007.
27. G. W. Wei, X. R. Wang. "WGC-EOWA operator and its application to decision making under uncertain linguistic setting", Proceedings of the 2007 International Conference on Public Administration(ICPA 2007) Vol. 2, pp.804-808, 2007.
28. G. W. Wei, W.D. Yi, "Interval geometric aggregation operator its application to uncertain linguistic multiple attribute group decision making", Proceedings of the 2007 International Conference on Management Science & Engineering(ICMSE 2007) Vol. 1, pp.567-572, 2007.
29. G. W. Wei, W.D. Yi, "Interval appraise method based on projection", Systems Engineering and Electronics, Vol.29, No. 12, pp. 1647-1649, 2007.
30. G. W. Wei, "Fuzzy ordered weighted harmonic averaging operator and its application to decision making", Systems Engineering and Electronics, Vol.31, No.4, pp.855-858, 2009.
31. G.W. Wei, R. Lin, "Method of grey relational analysis for multiple attribute group decision making based on two-tuple linguistic information", Systems Engineering and Electronics, Vol.30, No.9, pp. 1686-1689, 2008.
32. G.W. Wei, "Two-tuple linguistic multiple attribute group decision making with incomplete attribute weight information", Systems Engineering and Electronics, Vol.30, No.2, pp. 273-277, 2008.