Repository | Series | Book | Chapter

225629

Existence and uniqueness of anti-fuzzy ideal

Min LiYanping FengYing Han

pp. 101-106

Abstract

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

Published in:

Cao Bing-yuan, Zhang Cheng-yi, Li Tai-fu (2009) Fuzzy information and Engineering I. Dordrecht, Springer.

Pages: 101-106

DOI: 10.1007/978-3-540-88914-4_13

Full citation:

Li Min, Feng Yanping, Han Ying (2009) „Existence and uniqueness of anti-fuzzy ideal“, In: B. Cao, C. Zhang & T.-f. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, 101–106.