Transitive closures and orderings on soft sets

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چکیده

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On transitive soft sets over semihypergroups

The aim of this paper is to initiate and investigate new soft sets over semihypergroups, named special soft sets and transitive soft sets and denoted by $S_{H}$ and  $T_{H},$ respectively. It is shown that $T_{H}=S_{H}$ if and only if $beta=beta^{*}.$ We also introduce the derived semihypergroup from a special soft set and study some properties of this class of semihypergroups.

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on transitive soft sets over semihypergroups

the aim of this paper is to initiate and investigate new soft sets over semihypergroups, named special soft sets and transitive soft sets and denoted by $s_{h}$ and  $t_{h},$ respectively. it is shown that $t_{h}=s_{h}$ if and only if $beta=beta^{*}.$ we also introduce the derived semihypergroup from a special soft set and study some properties of this class of semihypergroups.

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On Transitive Soft Sets over Semihypergroups

The aim of this paper is to initiate and investigate new soft sets over semihypergroups, named special soft sets and transitive soft sets and denoted by SH and TH , respectively. It is shown that TH = SH if and only if β = β ∗. We also introduce the derived semihypergroup from a special soft set and study some properties of this class of semihypergroups.

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Some New Results on Orderings on Soft Sets

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ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 2011

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2011.07.010