A STUDY OF FUZZY COMPATIBILITY RELATIONS AND THEIRAPPLICATIONS

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dc.contributor.authorYASHIM, JAGABA MATHIAS
dc.date.accessioned2017-11-27T11:08:38Z
dc.date.available2017-11-27T11:08:38Z
dc.date.issued2016-05
dc.descriptionA DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE IN MATHEMATICS DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIAen_US
dc.description.abstractIn this dissertation, various concepts for comparing fuzzy objects such as similarity, dissimilarity, symmetric similarity, relative similarity, multi-dimensional, and multi-attributes were studied. Some existing models such as Jaccard, Simple Matching Co-efficient, Vector, and Tversky were closely studied. The similarity measures introduced by Tversky(1977) and modified by (Dubois and Prade, 1980) using the cardinality of fuzzy sets and scalar evaluators and their operations such as T-norms (𝑇1,𝑇2,𝑇3) and T-conorms(𝑆1,𝑆2,𝑆3) were systematized. Finally,a new approach (Set Theoretic Measures) for comparing fuzzy objects by taking into consideration the degree of inclusion, partial matching and similarity was presented, some properties of the modified model elaborated and some areas of applications were identified.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/9523
dc.language.isoenen_US
dc.subjectSTUDY,en_US
dc.subjectFUZZY COMPATIBILITY RELATIONS,en_US
dc.subjectAPPLICATIONS,en_US
dc.titleA STUDY OF FUZZY COMPATIBILITY RELATIONS AND THEIRAPPLICATIONSen_US
dc.typeThesisen_US
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