SERVER SELECTION ON BASE OF Z-NUMBERS

Keywords: linguistic uncertainty, decision making, membership function, fuzzy z-numbers, generalized fuzzy numbers

Abstract

The paper is devoted to the problem of multi criteria decision making under linguistic uncertainty. Information of different approaches for modeling linguistic uncertainty have been analyzed. The concept of z-numbers proposed by L. Zadeh have been presented. Z-number is presented as cortege of two fuzzy number A and B, where A is analyzed factor, B is reliability of A assessment. The method of conversion z-numbers into generalized fuzzy numbers have been applied. As test have been used server selection problem. As decision making model have been used weighted average method. All calculations and results are presented.

References

LA Zadeh, "Fuzzy sets". Information and Control, vol. 8, 1965, pp. 338-353.

LA Zadeh. The concept of a linguistic variable and its application to approximate reasoning - I, Information Sciences 8 (3), 1975, p. 199-249.

Chen, SH. Operations on fuzzy numbers with function principal. Tamkang Journal of Management Sciences, 6, 1985, p. 13-25.

Zadeh, LA: A note on Z-numbers. Information Science 181, 2011, p. 2923-2932.

LA Zadeh. "From computing with numbers to computing with words – from manipulation of measurements to manipulation of perceptions," IEEE Trans. on Circuits and Systems – 1, Fundamental Theory and Applications, vol. 4, 1999, p. 105-119.

YLP Thorani1, P. Phani Bushan Rao, and N. Ravi Shankar Ordering Generalized Trapezoidal Fuzzy Numbers, Int. J. Contemp. Math. Sciences, Vol. 7, 2012, no. 12, p. 555 - 573

B. Kang, D. Wei, Y. Li, Y. Deng. A Method of Converting Z-number to Classical Fuzzy Number, Journal of Information & Computational Science 9: 3, 2012, p. 703- 709.

JM Mendel, RI John, F. Liu, Interval type-2 fuzzy logic systems made simple, IEEE Transactions on Fuzzy Systems 14 (6), 2006, p. 808-821.

Banerjee S., Kumar T. Arithmetic Operations on Generalized Trapezoidal Fuzzy Number and its Applications, Turkish Journal of Fuzzy Systems (eISSN: 1309-1190) Vol.3, No.1, 2012, p. 16-44

JM Mendel, RI John, F. Liu, Interval type-2 fuzzy logic systems made simple, IEEE Transactions on Fuzzy Systems 14 (6), 2006, p. 808-821.

MJ Tsai, CS Wang, A computing coordination based fuzzy group decision making for web service oriented architecture, Expert Systems with Applications 34 (4), 2008, p. 2921-2936.

J. Ma, J. Lu, G. Zhang, Decider: a fuzzy multi-criteria group decision support system, Knowledge-Based Systems 23 (1), 2010, p. 23–31.

IJ Perez, FJ Cabrerizo, E. Herrera-Viedma, Group decision making problems in a linguistic and dynamic context, Expert Systems with Applications 38 (3) 2011, p. 675-1688.

ZS Xu, Approaches to multi-stage multi-attribute group decision making, International Journal of Information Technology and Decision Making 10 (1), 2011, pp. 121-146.

J. Pang, J. Liang, Evaluation of the results of multi-attribute group decision making with linguistic information, Omega-International Journal of Management Science 40 (3), 2012, pp. 294-301.

W. Wanga, X. Liu, Y. Qin, Multi-attribute group decision making models under interval type-2 fuzzy environment, Know Ledge-Based Systems 30, 2012, p. 121-128.

S.-M. Chen, L.-W. Lee, Fuzzy multiple criteria hierarchical group decision making based on interval type-2 fuzzy sets, IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans 40 (5), 2010, p. 1120-1128.

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Published
2021-12-14
Citations
How to Cite
Salimov Vagif Hasan Oglu. (2021). SERVER SELECTION ON BASE OF Z-NUMBERS. World Science, (11(72). https://doi.org/10.31435/rsglobal_ws/30122021/7721
Section
Engineering Sciences