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Open AccessArticle

Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings

1
Department of Mathematics, Lebanese International University, Beirut 1803, Lebanon
2
Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 66210 Brno, Czech Republic
3
Department of Mathematics, Yazd University, Yazd 89136, Iran
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2019, 11(11), 1376; https://doi.org/10.3390/sym11111376
Received: 11 October 2019 / Revised: 23 October 2019 / Accepted: 1 November 2019 / Published: 6 November 2019
The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi- H v -ideals as a generalization of fuzzy H v -ideals. Moreover, we introduce the concept of generalized fuzzy multi- H v -ideals as a generalization of generalized fuzzy H v -ideals. Finally, we investigate the properties of these new concepts and present different examples.
Keywords: Hv-structures; Hv-ring; fundamental equivalence relation; Hv-ideal; multiset; fuzzy multiset; fuzzy multi-Hv-ideal. Hv-structures; Hv-ring; fundamental equivalence relation; Hv-ideal; multiset; fuzzy multiset; fuzzy multi-Hv-ideal.
MDPI and ACS Style

Tahan, M.A.; Hoskova-Mayerova, S.; Davvaz, B. Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings. Symmetry 2019, 11, 1376.

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