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Chinnadurai, V.; Arulmozhi, K.

Characterization of bipolar fuzzy ideals in ordered \(\Gamma\)-semigroups. (English) Zbl 1438.06062

J. Int. Math. Virtual Inst. 8, 141-156 (2018).
Summary: In this paper, we introduce the notion of \((\eta,\delta)\) bipolar fuzzy ideal, bi-ideal, interior ideal, \((\varepsilon,\varepsilon\vee q)\)-bipolar fuzzy ideal of ordered \(\Gamma\)-semigroups and discuss some of their properties.

Cited in 2 Documents

MSC:

06F99 Ordered structures
06F05 Ordered semigroups and monoids
06B10 Lattice ideals, congruence relations

Keywords:

ordered \(\Gamma\)-semigroups; bipolar fuzzy set; fuzzy bi-ideals; \((\eta,\delta)\); \((\varepsilon,\varepsilon\vee q)\)-fuzzy bi-ideal
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