A STUDY OF EIGEN FUZZY SETS OF FUZZY RELATIONS
A STUDY OF EIGEN FUZZY SETS OF FUZZY RELATIONS
| dc.contributor.author | IBRAHIM, FOLORUNSHO MUKAILA | |
| dc.date.accessioned | 2018-01-23T09:41:30Z | |
| dc.date.available | 2018-01-23T09:41:30Z | |
| dc.date.issued | 2017-03 | |
| dc.description | A DISSERTATION SUBMITTED TO THE POSTGRADUATE SCHOOL, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTERS OF SCIENCE DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, FACULTY OF PHYSICAL SCIENCE, AHMADU BELLO UNIVERSITY, ZARIA NIGERIA | en_US |
| dc.description.abstract | In this dissertation, a concept called subreflexive fuzzy relation as a relaxation of the reflexive property of fuzzy relation has been introduced and investigated. Various compositions of fuzzy relations such as max-min, min-max, max-average and max-product were presented. Eigen Fuzzy Sets of fuzzy relation based on the max-min and min-max compositions have been studied, and algorithms for the determination of Greatest Eigen Fuzzy Set (GEFS) based on max-min composition have also been studied and a modified algorithm was presented, and these algorithms have been extended to Least Eigen Fuzzy Set (LEFS) based on min-max composition. Finally, Eigen Fuzzy Sets based on max-product and max-average compositions have also been investigated. It was observed that an Eigen Fuzzy Set do not exist in the max-product composition except if the relation is reflexive, and also, an Eigen Fuzzy Set may or may not exist in the max-average composition, but if the relation is subreflexive such that , then a constant Eigen Fuzzy Set is guaranteed, and in particular, if the relation is reflexive | en_US |
| dc.identifier.uri | https://kubanni.abu.edu.ng/handle/123456789/9911 | |
| dc.language.iso | en | en_US |
| dc.subject | EIGEN, | en_US |
| dc.subject | FUZZY SETS, | en_US |
| dc.subject | FUZZY RELATIONS, | en_US |
| dc.title | A STUDY OF EIGEN FUZZY SETS OF FUZZY RELATIONS | en_US |
| dc.type | Thesis | en_US |