Title :
Generalized fuzzy imaginary ideals of rings
Author :
Liao, Zuhua ; Cao, Shu ; Tian, Qinghe ; Hu, Miaohan ; Zhang, Yang
Author_Institution :
Sch. of Sci., Jiangnan Univ., Wuxi, China
Abstract :
Our aim in this paper is to introduce and study the new type of fuzzy ideals of a ring called generalized fuzzy imaginary right (resp . left) ideals and the direct products of them. The equivalence relation of them is given, besides, the properties of their intersection, union and level sets are discussed. Finally, we also give the properties of their homomorphic preimage.
Keywords :
equivalence classes; fuzzy set theory; equivalence relation; generalized fuzzy imaginary ideals; homomorphic preimage; level set; rings; Conferences; Fuzzy sets; Fuzzy systems; Level set; Mathematical analysis; (∊ ∊ vq(λμ)) — fuzzy imaginary ideals; fuzzy imaginary ideals; generalized fuzzy imaginary ideals; homomorphic preimage; level sets;
Conference_Titel :
Fuzzy Systems (FUZZ), 2011 IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7315-1
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2011.6007375
