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.
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