Soft Computing

, Volume 22, Issue 9, pp 3001–3010 | Cite as

Characterizations of ordered semihypergroups by the properties of their intersectional-soft generalized bi-hyperideals

  • Muhammad Farooq
  • Asghar Khan
  • Bijan Davvaz
Methodologies and Application


Molodtsov’s soft set theory is a new mathematical model for dealing with uncertainty from a parameterization point of view. In soft set theory, the problem of setting the membership function does not arise, which makes the theory easily applied to many different fields. In this paper, we discuss a new approach to soft sets and compare soft sets to the related concepts of ordered semihypergroups. We define int-soft generalized bi-hyperideals in ordered semihypergroups and characterize regular and left weakly regular ordered semihypergroups by the properties of their int-soft generalized bi-hyperideals.


Soft set Regular Left weakly regular ordered semihypergroups Left (resp., right, bi- and generalized bi-)hyperideals Int-soft left (resp., right, bi- and generalized bi-)hyperideals in ordered semihypergroups 


Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of MathematicsAbdul Wali Khan UniversityMardanPakistan
  2. 2.Department of MathematicsYazd UniversityYazdIran

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