Ranking Fuzzy Numbers with a Distance Method using Circumcenter of Centroids and an Index of Modality
Joint Authors
Shankar, N. Ravi
Rao, P. Phani Bushan
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Information Technology and Computer Science
Abstract EN
Ranking fuzzy numbers are an important aspect of decision making in a fuzzy environment.
Since their inception in 1965, many authors have proposed different methods for ranking fuzzy numbers.
However, there is no method which gives a satisfactory result to all situations.
Most of the methods proposed so far are nondiscriminating and counterintuitive.
This paper proposes a new method for ranking fuzzy numbers based on the Circumcenter of Centroids and uses an index of optimism to reflect the decision maker's optimistic attitude and also an index of modality that represents the neutrality of the decision maker.
This method ranks various types of fuzzy numbers which include normal, generalized trapezoidal, and triangular fuzzy numbers along with crisp numbers with the particularity that crisp numbers are to be considered particular cases of fuzzy numbers.
American Psychological Association (APA)
Rao, P. Phani Bushan& Shankar, N. Ravi. 2011. Ranking Fuzzy Numbers with a Distance Method using Circumcenter of Centroids and an Index of Modality. Advances in Fuzzy Systems،Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-452130
Modern Language Association (MLA)
Rao, P. Phani Bushan& Shankar, N. Ravi. Ranking Fuzzy Numbers with a Distance Method using Circumcenter of Centroids and an Index of Modality. Advances in Fuzzy Systems No. 2011 (2011), pp.1-7.
https://search.emarefa.net/detail/BIM-452130
American Medical Association (AMA)
Rao, P. Phani Bushan& Shankar, N. Ravi. Ranking Fuzzy Numbers with a Distance Method using Circumcenter of Centroids and an Index of Modality. Advances in Fuzzy Systems. 2011. Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-452130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452130