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Soft Computing

, Volume 23, Issue 14, pp 5289–5305 | Cite as

EQ-algebras based on fuzzy hyper EQ-filters

  • M. Hamidi
  • Arsham Borumand SaeidEmail author
Foundations
  • 23 Downloads

Abstract

This paper introduces and applies the notion of fuzzy hyper EQ-subalgebras as a generalization of the notation of fuzzy EQ-subalgebras and constructs extendable fuzzy EQ-subalgebras via these concepts. Moreover, by using the fuzzy hyper EQ-filters, it defines a congruence relation on hyper EQ-algebras that under some conditions is strongly regular and the quotient of any hyper EQ-algebra via this relation is an EQ-algebra.

Keywords

(Hyper)EQ-algebra Fundamental relation Hyper EQ-filter 

Notes

Acknowledgements

We wish to thank the reviewers for excellent suggestions that have been incorporated into the paper.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Human and animal rights

This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of MathematicsPayame Noor UniversityTehranIran
  2. 2.Mahani Mathematical research centerShahid Bahonar University of KermanKermanIran
  3. 3.Department of Pure Mathematics, Faculty of Mathematics and ComputerShahid Bahonar University of KermanKermanIran

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