Constructing Algebraic Structures using the Elements of Real Valued Type 1 Level 1 Fuzzy Sets

Abubakar I.

Abstract


Algebraic Structures such as Groupoids, Semigroups, Monoids, Groups, Rings and Fields, are usually constructed using the elements of classical set. However, in this paper we aimed at constructing such structures using the elements of real valued type 1 level 1 fuzzy sets. We applied the addition and multiplication operations on the element of real valued type 1 level 1 fuzzy sets with the aim of detecting the existence of properties such as closure, Commutativity, associativity, identity elements and inverses of elements and we derived conclusions based on the observations made through the use of illustrative examples.


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References


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