A STUDY OF FUZZY NUMBERS AND METHODS FOR THEIR RANKING

No Thumbnail Available
Date
2016-08
Authors
ADAM, SULEIMAN DATTI
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Fuzzy numbers have been studied extensively in mathematics along with its applications in diverse fields, especially in solving many real-life problems. This research work based on an extensive survey of the related existing works, formulates a ranking method for generalized trapezoidal fuzzy numbers by computing section-wise perimeters of the trapezoid representing a generalized fuzzy number. The perimeter of trapezoid representing a generalized fuzzy number is viewed as comprising three segments:- left and right divergences which are right angled triangles and the centre as a rectangle. In order to evaluate its degree of robustness, new similarity measures are computed and finally compared with the related results obtained under other existing similarity measure approaches by way of providing a comparison table.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATESTUDIES, AHMADU BELLO UNIVERSITY, ZARIA NIGERIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTERS OF SCIENCE (M.Sc.) DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS AHMADU BELLO UNIVERSITY, ZARIA NIGERIA
Keywords
STUDY OF FUZZY NUMBERS,, METHODS,, RANKING
Citation
Collections