2017
DOI: 10.17654/ms102040731
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ON BIPOLAR FUZZY COSETS, BIPOLAR FUZZY IDEALS AND ISOMORPHISMS OF \Gamma-NEAR RINGS

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Cited by 3 publications
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“…In mathematics fuzzy groups, rings and graphs have been discussed by Massa'deh (2010a, b), Massa'deh and Ba'arah (2013) and Massa'deh and Gharaibeh (2011). Bipolar fuzzy set's concepts defined by Zhang (1998) is a generalization of fuzzy sets (Muthuraj et al, 2016;Muthuraj and Sridharan, 2012) discussed the concepts of bipolar fuzzy normal-subgraph (Massa'deh, 2017) introduced and studied bipolar fuzzy cosets. Ramya and Lavanya (2017) studied the edge contraction on bipolar fuzzy graphs (Massa'deh and Ba'arah, 2013) introduced the concept of degrees types in bipolar fuzzy graphs.…”
Section: Introductionmentioning
confidence: 99%
“…In mathematics fuzzy groups, rings and graphs have been discussed by Massa'deh (2010a, b), Massa'deh and Ba'arah (2013) and Massa'deh and Gharaibeh (2011). Bipolar fuzzy set's concepts defined by Zhang (1998) is a generalization of fuzzy sets (Muthuraj et al, 2016;Muthuraj and Sridharan, 2012) discussed the concepts of bipolar fuzzy normal-subgraph (Massa'deh, 2017) introduced and studied bipolar fuzzy cosets. Ramya and Lavanya (2017) studied the edge contraction on bipolar fuzzy graphs (Massa'deh and Ba'arah, 2013) introduced the concept of degrees types in bipolar fuzzy graphs.…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, in the pest several decades, studies on the subject of anti fuzzy ideals in semi groups introduced by Shabir and Nawaz [10]. Hee et al [1] extended the concept of bipolar fuzzy set to semi groups theory, while Muthuraj et al [7], Khizar et al [2] Massa'deh [4] and Massa'deh and Al naser [6] extend the concept of bipolar fuzzy set to subring , hemiring and Γ-near rings. In this paper, we deal with anti bipolar Q -fuzzy sets to a semi groups and investigate related properties.…”
Section: Introductionmentioning
confidence: 99%