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Deduction of Fuzzy Autocatalytic Set to Omega Algebra and Transformation Semigroup

Authors: Liew Siaw Yee, Tahir Ahmad


In this paper, the Fuzzy Autocatalytic Set (FACS) is composed into Omega Algebra by embedding the membership value of fuzzy edge connectivity using the property of transitive affinity. Then, the Omega Algebra of FACS is a transformation semigroup which is a special class of semigroup is shown.

Keywords: transformation semigroup, Semigroup, Fuzzy autocatalytic set, omega algebra

Digital Object Identifier (DOI):

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