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Indexed by:会议论文

Date of Publication:2011-07-26

Included Journals:EI、Scopus

Volume:1

Page Number:294-299

Abstract:In this paper,we present the concept of (  ,   )-intuitionistic fuzzy subring(ideal). And we show that, in 16 kinds of (  ,   )- intuitionistic fuzzy subrings(ideals), the significant ones are the (  ,   )- intuitionistic fuzzy subring(ideal), the (  ,    q  )-intuitionistic fuzzy subring(ideal) and the (      q,   )- intuitionistic fuzzy subring(ideal). We also show that A is a (  ,   )- intuitionistic fuzzy subring(ideal) of R if and only if, for any      (0, 1], the cut set A   of A is a 3-valued fuzzy subring(ideal) of R, and A is a (  ,      q)- intuitionistic fuzzy subring(ideal)( or (     q,   )-intuitionistic fuzzy subring(ideal)) of R if and only if, for any      (0, 0.5] (or for any      (0.5,1]), the cut set A   of A is a 3-valued fuzzy subring(ideal) of R. At last, we generalize the (  ,   )- intuitionistic fuzzy subring(ideal), the (  ,      q)-intuitionistic fuzzy subring(ideal) and the (     q,   )- intuitionistic fuzzy subring(ideal) to intuitionistic fuzzy subring(ideal) with thresholds, i.e.,(s, t]- intuitionistic fuzzy subring(ideal). We show that A is a (s, t]- intuitionistic fuzzy subring(ideal) of R if and only if, for any      (s, t], the cut set A   of A is a 3-valued fuzzy subring(ideal) of R. We also characterize the (s, t]- intuitionistic fuzzy subring(ideal) by the neighborhood relations between a fuzzy point x    and an intuitionistic fuzzy set A. ? 2011 IEEE.