Abstract:
This paper discussed the relation between FS and QS by theory of the isomorphism and homomorphism of fuzzy sets, and two main conclusions are reached. Firstly, for any gr...Show MoreMetadata
Abstract:
This paper discussed the relation between FS and QS by theory of the isomorphism and homomorphism of fuzzy sets, and two main conclusions are reached. Firstly, for any group of fuzzy sets which are isomorphic, a quotient space could be defined uniquely, and a quotient structure space is determined. Secondly, for any group of fuzzy relations which are isomorphic, similarly a fuzzy quotient space could be defined uniquely, and a fuzzy quotient structure space is determined. Moreover, the construction of fuzzy quotient space is given. Finally, we discussed their related properties.
Published in: 2005 IEEE International Conference on Granular Computing
Date of Conference: 25-27 July 2005
Date Added to IEEE Xplore: 05 December 2005
Print ISBN:0-7803-9017-2
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