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IJSTR >> Volume 3- Issue 3, March 2014 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Extending A Consensus Measure To The Fuzzy Sets

[Full Text]

 

AUTHOR(S)

Abolfazl Saeidifar

 

KEYWORDS

Index Text: Likert scale; Fuzzy sets; Consensus measure; Fuzzy Consensus measure.

 

ABSTRACT

Abstract: William J. Tastle and et al. (Proc ISECON 2005, V22 (Columbus OH)) presented a new consensus measure for ranking sets of Likert scale data (ordinal data). In this paper we extend the consensus measure to the fuzzy sets. This measure called the strength of consensus is a modification of both the Shannon entropy, an equation common to the foundation of information theory, and the standard consensus measure.

 

REFERENCES

[1]. Chen, S.J., Hwang, C.L.: Fuzzy Multiple Attributive Decision Making: Theory and its Applica-tions. Springer, Berln (1992).

[2]. D. Dubois, H. Prade, Fuzzy Sets and Systems. Theory and Applications, Academic Press, New York, 1980.

[3]. Fodor, J., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer, Dordrecht (1994).

[4]. Klir, George J. and Mark J. Wierman, (1997). Lecture Notes in Fuzzy Mathematics and Com-puter Science: Uncertainty-Based Information Elements of Generalized Information Theory.Center for Research in Fuzzy Mathematics and Computer Science, Creighton University, Omaha, Nebraska [5] M. Tastle and William J. Tastle, 2006 EDSIG.

[5]. William J. Tastle, Jack Russell, Mark J. Wierman, A New Measure to Analyze Student Perfor-mance Using the Likert Scale, Proc ISECON 2005, v22 (Columbus OH): 2142, 2005 EDSIG.