Int-soft structures applied to ordered semihypergroups
Int-soft structures applied to ordered semihypergroups
Abstract
Molodtsov introduced the theory of soft sets, which can
be seen as a new mathematical approach to vagueness. The main goal of this
paper is to introduce and study some classes of ordered semihypergroups and
to investigate some interesting characterizations theorems of these classes
in terms of int-soft hyperideals. In this respect, we characterize weakly
regular ordered semihypergroups for example (see Theorems 25, 26 and 28)
intra-regular and left weakly-regular ordered semihypergroups (see Theorems
30 and 32) and semisimple ordered semihypergroups (see Theorems 37 and 39)
in terms of int-soft hyperideals. In this regard, we study semisimple
ordered semihypergroups and characterize it in terms of int-soft
hyperideals. We also characterize intra-regular and weakly-regular ordered
semihypergroups in terms of int-soft hyperideals.
Copyright (c) 2018 Bijan Davvaz, Asghar Khan, Muhammad Farooq
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.
