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Soft Computing

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04-01-2019 | Foundation

Regular and strongly regular relations on soft hyperrings

Authors: S. Ostadhadi-Dehkordi, K. P. Shum

Published in: Soft Computing | Issue 10/2019

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Abstract

Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties, and soft hyperrings can be regarded as a generalization of soft rings. The motivation for such an investigation is to generalize the concept of quotient soft hyperrings and isomorphism theorems. Also, we consider when the fuzzy hyperideals of a soft hyperring are normal, then the equivalence relations defined by J. Wang et. al. on soft hyperrings are strongly regular. Moreover, the quotient soft hyperrings determined by this equivalence relation are soft rings.

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Title: Regular and strongly regular relations on soft hyperrings
Authors: S. Ostadhadi-Dehkordi
K. P. Shum
Publication date: 04-01-2019
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 10/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-018-03711-8

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