A STUDY OF FUZZY NUMBERS AND METHODS FOR THEIR RANKING
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