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Published in:   Vol. 7 Issue 2 Date of Publication:   December 2018
Page(s):   77-79 Publisher:   Integrated Intelligent Research (IIR)
DOI:   10.20894/IJCOA. SAI : 2017SCIA316F0913

During this paper, we present the documentation of characteristic of bipolar fuzzy and bipolar fuzzy divisor of zero of a ring, and study essential properties. We concentrate fundamental operation on characteristic of bipolar fuzzy and bipolar fuzzy divisor of a ring and explore a few properties of these ideas in association with bipolar fuzzy perfect of a ring. Fuzzy set was introduced in 1965 by Zadeh, technique for speaking to unclearness and vulnerability. The hypothesis of fuzzy set has turned into an energetic range of examine in various controls. The idea of Bipolar fuzzy set was presented in 1994 by Zhang, as a speculation of fuzzy set. A Bipolar fuzzy set is the expansion of fuzzy set whose enrollment degree run in. It�s a pair of fuzzy sets, as membership and non-membership function, which represent the positive and negative aspects of the given data. In this paper we have presented the idea of bipolar fuzzy characteristic and bipolar fuzzy divisor of zero of ring. By utilizing the idea we have demonstrated that some essential properties of in the ring theory identifying with fuzzy characteristic, fuzzy divisor of zero and orders of in additive group of a ring.