In this paper, based upon Fs-set theory [1], we define a crisp Fs-points set FSP( ) for given Fs-set and establish a pair of relations between collection of all Fs-subsets of a given Fs-set and collection of all crisp subsets of Fs-points set FSP( ) of the same Fs-set and prove one of the relations is a meet complete homomorphism and the other is a join complete homomorphism and search properties of relations between Fs-complemented sets and complemented constructed crisp sets via these homomorphisms.
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