Ranking Fuzzy Numbers with a Distance Method using Circumcenter of Centroids and an Index of Modality

Autor: P. Phani Bushan Rao, N. Ravi Shankar
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Advances in Fuzzy Systems, Vol 2011 (2011)
Druh dokumentu: article
ISSN: 1687-7101
1687-711X
DOI: 10.1155/2011/178308
Popis: 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.
Databáze: Directory of Open Access Journals
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