On Bipolar Fuzzy Sub Ordered ?-Near Rings
Abstract
In this paper, we introduce and study the concept of Bipolar Fuzzy Sub Ordered ?- Nearring.we establish a one-one correspondence between Bipolar Fuzzy sub Ordered ?-Nearring and crisp sub Ordered ?-Nearring. Later, we define homomorphism on Bipolar-Fuzzy Ordered ?-Nearring and we verified that the homomorphic pre image of a Bipolar Fuzzy sub Ordered ?- Nearring is also a Bipolar Fuzzy sub Ordered ?- Nearring . Moreover we prove that homomorphic image of a Bipolar Fuzzy sub Ordered ?- Nearring possessing both Supremum property and infimum property is a Bipolar Fuzzy sub Ordered ?- Nearring.