A STUDY OF M -FUZZY SUBGROUPS AND ITS LEVEL M-SUBGROUPS
A STUDY OF M -FUZZY SUBGROUPS AND ITS LEVEL M-SUBGROUPS
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Date
2017-10
Authors
MOHAMMED, ABUBAKAR
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Abstract
The theory of fuzzy set has been studied extensively in mathematics along with its application in diverse fields. Rosenfeld in 1971 used this concept to develop the theory of fuzzy groups. Gu in 1994 put forward the notion of M-fuzzy groups. In this research work, we review some of the fundamental works in M-fuzzy group theory and provide some new or alternative methods to proving some existing theorems in M-fuzzy group theory. We have given independent proof of several theorems on Level M- subgroups of M-fuzzy subgroups.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATESTUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER DEGREE IN MATHEMATICS
FACULTY OF PHYSICAL SCIENCE,
DEPARTMENT OF MATHEMATICS,
AHMADU BELLO UNIVERSITY,
ZARIA
Keywords
STUDY,, -FUZZY SUBGROUPS,, LEVEL M-SUBGROUPS