| Application of Bipolar Fuzzy Sets in Semirings |
| Received:December 16, 2012 Revised:June 04, 2013 |
| Key Words:
bipolar fuzzy subsemiring (resp., ideal) semiring equivalence relation normal bipolar fuzzy ideal.
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11071151). |
|
| Hits: 3207 |
| Download times: 3661 |
| Abstract: |
| On the basis of concepts of bipolar fuzzy sets, we establish a new framework of bipolar fuzzy subsemirings (resp., ideals) which is a generalization of traditional fuzzy subsemirings (resp., ideals) in semirings. The concepts of bipolar fuzzy subsemirings (resp., ideals) are introduced and related properties are investigated by means of positive $t$-cut, negative $s$-cut and equivalence relation. Particularly, the notion of a normal bipolar fuzzy ideal is given, and some basic properties are studied in this paper. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.01.006 |
| View Full Text View/Add Comment |
|
|
|
