Ranking fuzzy numbers with an area method using circumcenter of centroids

P. Phani Bushan Rao () and N. Ravi Shankar
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P. Phani Bushan Rao: GITAM University
N. Ravi Shankar: GITAM University

Fuzzy Information and Engineering, 2013, vol. 5, issue 1, 3-18

Abstract: Abstract This paper proposes a new method for ranking fuzzy numbers based on the area between circumcenter of centroids of a fuzzy number and the origin. The proposed method not only uses an index of optimism, which reflects the decision maker’s optimistic attitude but also makes use of an index of modality which represents the importance of mode and spreads. This method ranks various types of fuzzy numbers which includes normal, generalized trapezoidal and triangular fuzzy numbers along with crisp numbers which are a special case of fuzzy numbers. Some numerical examples are presented to illustrate the validity and advantages of the proposed method.

Keywords: Fuzzy numbers; Centroid points; Circumcenter; Ranking function; Index of optimism; Index of modality (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s12543-013-0129-1

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