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(2009) Fuzzy information and Engineering I, Dordrecht, Springer.
Let S ⊆ [0,1] satisfying (underline{s}=infSin S ) and C = {I t |t ∈ S} be an ascending chain of ideals in commutative ring R . This article presented and studied the following problem:(1) Whether is there an anti-fuzzy ideal μ of R such that μ(R) = {μ(x)| x ∈ R}= S and (C_{mu}={mu^{t}|tinmu(R)}=C) ?(2) If the anti-fuzzy ideal satisfying (1) exists, then whether is it unique ? We built theorems of existence and uniqueness of anti-fuzzy ideal.
Publication details
DOI: 10.1007/978-3-540-88914-4_13
Full citation:
Li, M. , Feng, Y. , Han, Y. (2009)., Existence and uniqueness of anti-fuzzy ideal, in B. Cao, C. Zhang & T. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, pp. 101-106.
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