Affiliations: [a] Department of Mathematics, Anits College of Engineering, Visakhapatnam, Andhra Pradesh, India
| [b] Department of Mathematics, GITAM Deemed to be University, Visakhapatnam, Andhra Pradesh, India
| [c] Department of Computer Science and Engineering, GITAM Deemed to be University, Visakhapatnam, Andhra Pradesh, India
Correspondence:
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Corresponding author. Phani Bushan Rao Peddi, Department of Mathematics, GITAM Deemed to be University, Visakhapatnam, Andhra Pradesh, India. E-mail: ppeddi@gitam.edu.
Abstract: This paper proposes a new method to rank the parametric form of fuzzy numbers based on defuzzification. The defuzzification process use centroids, value, ambiguity and decision levels on fuzzy number developed from the parametric form of a generalized fuzzy number. The proposed method avoids reducing function to remove lower alpha levels and can overcome the shortcomings in some of the existing fuzzy ranking methods. The proposed method can effectively rank symmetric fuzzy numbers with the same core and different heights, fuzzy numbers with the same support and different cores, crisp numbers, crisp numbers having the same support and different heights, and fuzzy numbers having compensation of areas. A demonstration of the proposed method through examples and a comparative study with other methods in the literature shows that the proposed method gives effective results.
